39 resultados para introductory calculus

em Helda - Digital Repository of University of Helsinki


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My Ph.D. dissertation presents a multi-disciplinary analysis of the mortuary practices of the Tiwanaku culture of the Bolivian high plateau, situated at an altitude of c. 3800 m above sea level. The Tiwanaku State (c. AD 500-1150) was one of the most important pre-Inca civilisations of the South Central Andes. The book begins with a brief introductory chapter. In chapter 2 I discuss methodological and theoretical developments in archaeological mortuary studies from the late 1960s until the turn of the millennium. I am especially interested in the issue how archaeological burial data can be used to draw inferences on the social structure of prehistoric societies. Chapter 3 deals with the early historic sources written in the 16th and 17th centuries, following the Spanish Conquest of the Incas. In particular, I review information on how the Incas manifested status differences between and within social classes and what kinds of burial treatments they applied. In chapter 4 I compare the Inca case with 20th century ethnographic data on the Aymara Indians of the Bolivian high plateau. Even if Christianity has affected virtually every level of Aymara religion, surprisingly many traditional features can still be observed in present day Aymara mortuary ceremonies. The archaeological part of my book begins with chapter 5, which is an introduction into Tiwanaku archaeology. In the next chapter, I present an overview of previously reported Tiwanaku cemeteries and burials. Chapter 7 deals with my own excavations at the Late Tiwanaku/early post-Tiwanaku cemetery site of Tiraska, located on the south-eastern shore of Lake Titicaca. During the 1998, 2002, and 2003 field seasons, a total of 32 burials were investigated at Tiraska. The great majority of these were subterranean stone-lined tombs, each containing the skeletal remains of 1 individual and 1-2 ceramic vessels. Nine burials have been radiocarbon dated, the dates in question indicating that the cemetery was in use from the 10th until the 13th century AD. In chapter 8 I point out that considerable regional and/or ethnic differences can be noted between studied Tiwanaku cemetery sites. Because of the mentioned differences, and a general lack of securely dated burial contexts, I feel that at present we can do no better than to classify most studied Tiwanaku burials into three broad categories: (1) elite and/or priests, (2) "commoners", and (3) sacrificial victims and/or slaves and/or prisoners of war. On the basis of such indicators as monumental architecture and occupational specialisation we would expect to find considerable status-related differences in tomb size, grave goods, etc. among the Tiwanaku. Interestingly, however, such variation is rather modest, and the Tiwanaku seem to have been a lot less interested in expending considerable labour and resources in burial facilities than their pre-Columbian contemporaries of many parts of the Central Andes.

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In my master’s thesis I analyse mystical Islamic poetry in ritualistic performance context, samā` , focusing on the poetry used by the Chishti Sufis. The work is based on both literary sources and ethnographic material collected in India. The central textual source is Surūd-i Rūhānī, a compilation of mystical poetry. Textual sources, however, can be understood properly only in relation to the living performance context and therefore I also utilise interviews of Sufis and performers of mystical music and recordings of samā` assemblies along with texts. First part of the thesis concentrates on thematic overview of the poems and the process of selecting a suitable text for performance. The poems are written in three languages, viz. in Persian, Urdu and Hindi. Among the authors are both Sufis and non-Sufis. The poems, mystical and non-mystical alike, share the same poetic images and they acquire a mystical meaning when they are set to qawwali music and performed in samā` assemblies. My work includes several translations of verses not previously translated. Latter part of the thesis analyses the musical idiom of qawwali and the ways in which the impact of text on listeners is intensified in performance. Typically the intensification is accomplished in the level of a single poem through three different techniques: using introductory verses, inserting verses between the verses of the main poem and repeating individual units of text. The former two techniques are tied to creating a mystical state in the listeners while the latter aims at sustaining it. It is customary that a listener enraptured by mystical experience offers a monetary contribution to the performers. Thus, intensification of the text’s impact aims at enabling the listeners to experience mystical states.

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This doctoral thesis starts with a comprehensive introduction seeking to anchor the problematics of the ethics of the poetician translator (a translator of literary and similar texts) in a theoretical framework drawing on moral philosophy. This introductory section is followed by six published papers (four journal articles and two papers from conference proceedings), forming the main body of the thesis, which progressively develop a possible application of this theoretical framework. Starting from the acknowledgement that one of the ethical stakes in translation is constructed around the relation to the foreign and to the other , the translation process is scrutinized through the prism of the philosophies of Dialogue , focusing on how the translating actors relate to their task. The central notions around which philosophies of Dialogue are built are introduced and applied to translation. The question of intersubjective relations, addressed from a philosophical perspective, is developed with the help of the works of Martin Buber, Gabriel Marcel, Emmanuel Levinas and Paul Ric ur. The introductory section presents and explicates the thought of each of these philosophers and extracts the concepts that are then developed in the articles and conference papers collected here. Each paper concentrates on the notions of one of the philosophers referred to above and places these notions in perspective with other philosophies of Dialogue. All the papers contribute to explicating the relationship between the multiple philosophical notions that address the problematics of alterity and the condition of the translator. The work as a whole leads to the idea that the task of the poetician translator is not only to translate a text properly but above all to rouse and increase the desire of linguistic communities to live together.

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The study examines the debate in Finland at the beginning of the 20th century surrounding the philosophy of Henri Bergson. Both within as well as outside of academic philosophy Bergsonism was adapted to the philosophical and cultural landscape in Finland by a process of selective appropriation. The ambiguous relationship between the sender and the receiver is accentuated in reference to philosophical celebrities such as Bergson, whose reputations spread more quickly than the content of their philosophy and whose names are drawn into the political and social discourse. As a philosophical movement the aim of Bergsonism was to create a scientific philosophy of life as an alternative to both idealism and modern empirical and antimetaphysical currents, during a period when European philosophy was searching for new guidelines after the collapse of the idealistic system philosophies of the 19th century. This reorientation is examined from a Finnish viewpoint and in the light of the process of intellectual importation. The study examines how elements from an international discourse were appropriated within the philosophical field in Finland against a background of changes in the role of the university and the educated elites as well as the position of philosophy within the disciplinary hierarchy. Philosophical reception was guided by expectations that had arisen in a national context, for example when Bergsonism in Finland was adjusted to a moral and educational ideal of self-cultivation, and often served as a means for philosophers to internationalize their own views in order to strengthen their position on the national stage. The study begins with some introductory remarks on the international circulation of ideas from the point of view of the periphery. The second section presents an overview of the shaping of the philosophical field at the turn of the 20th century, the naturalism and positivism of the late 19th century that were the objects of Bergson s critique, and an introduction to the attempts of a philosophy of life to make its way between idealism and naturalism. The third and main section of the study begins with a brief presentation of the main features of the philosophy of Bergson, followed by a closer examination of the different comments and analyses that it gave rise to in Finland. The final section addresses the ideological implications of Bergsonism within the framework of a political annexation of the philosophy of life at the beginning of the 20th century.

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Bertrand Russell (1872 1970) introduced the English-speaking philosophical world to modern, mathematical logic and foundational study of mathematics. The present study concerns the conception of logic that underlies his early logicist philosophy of mathematics, formulated in The Principles of Mathematics (1903). In 1967, Jean van Heijenoort published a paper, Logic as Language and Logic as Calculus, in which he argued that the early development of modern logic (roughly the period 1879 1930) can be understood, when considered in the light of a distinction between two essentially different perspectives on logic. According to the view of logic as language, logic constitutes the general framework for all rational discourse, or meaningful use of language, whereas the conception of logic as calculus regards logic more as a symbolism which is subject to reinterpretation. The calculus-view paves the way for systematic metatheory, where logic itself becomes a subject of mathematical study (model-theory). Several scholars have interpreted Russell s views on logic with the help of the interpretative tool introduced by van Heijenoort,. They have commonly argued that Russell s is a clear-cut case of the view of logic as language. In the present study a detailed reconstruction of the view and its implications is provided, and it is argued that the interpretation is seriously misleading as to what he really thought about logic. I argue that Russell s conception is best understood by setting it in its proper philosophical context. This is constituted by Immanuel Kant s theory of mathematics. Kant had argued that purely conceptual thought basically, the logical forms recognised in Aristotelian logic cannot capture the content of mathematical judgments and reasonings. Mathematical cognition is not grounded in logic but in space and time as the pure forms of intuition. As against this view, Russell argued that once logic is developed into a proper tool which can be applied to mathematical theories, Kant s views turn out to be completely wrong. In the present work the view is defended that Russell s logicist philosophy of mathematics, or the view that mathematics is really only logic, is based on what I term the Bolzanian account of logic . According to this conception, (i) the distinction between form and content is not explanatory in logic; (ii) the propositions of logic have genuine content; (iii) this content is conferred upon them by special entities, logical constants . The Bolzanian account, it is argued, is both historically important and throws genuine light on Russell s conception of logic.

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The aim of this dissertation is to provide conceptual tools for the social scientist for clarifying, evaluating and comparing explanations of social phenomena based on formal mathematical models. The focus is on relatively simple theoretical models and simulations, not statistical models. These studies apply a theory of explanation according to which explanation is about tracing objective relations of dependence, knowledge of which enables answers to contrastive why and how-questions. This theory is developed further by delineating criteria for evaluating competing explanations and by applying the theory to social scientific modelling practices and to the key concepts of equilibrium and mechanism. The dissertation is comprised of an introductory essay and six published original research articles. The main theses about model-based explanations in the social sciences argued for in the articles are the following. 1) The concept of explanatory power, often used to argue for the superiority of one explanation over another, compasses five dimensions which are partially independent and involve some systematic trade-offs. 2) All equilibrium explanations do not causally explain the obtaining of the end equilibrium state with the multiple possible initial states. Instead, they often constitutively explain the macro property of the system with the micro properties of the parts (together with their organization). 3) There is an important ambivalence in the concept mechanism used in many model-based explanations and this difference corresponds to a difference between two alternative research heuristics. 4) Whether unrealistic assumptions in a model (such as a rational choice model) are detrimental to an explanation provided by the model depends on whether the representation of the explanatory dependency in the model is itself dependent on the particular unrealistic assumptions. Thus evaluating whether a literally false assumption in a model is problematic requires specifying exactly what is supposed to be explained and by what. 5) The question of whether an explanatory relationship depends on particular false assumptions can be explored with the process of derivational robustness analysis and the importance of robustness analysis accounts for some of the puzzling features of the tradition of model-building in economics. 6) The fact that economists have been relatively reluctant to use true agent-based simulations to formulate explanations can partially be explained by the specific ideal of scientific understanding implicit in the practise of orthodox economics.

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In this study I discuss G. W. Leibniz's (1646-1716) views on rational decision-making from the standpoint of both God and man. The Divine decision takes place within creation, as God freely chooses the best from an infinite number of possible worlds. While God's choice is based on absolutely certain knowledge, human decisions on practical matters are mostly based on uncertain knowledge. However, in many respects they could be regarded as analogous in more complicated situations. In addition to giving an overview of the divine decision-making and discussing critically the criteria God favours in his choice, I provide an account of Leibniz's views on human deliberation, which includes some new ideas. One of these concerns is the importance of estimating probabilities in making decisions one estimates both the goodness of the act itself and its consequences as far as the desired good is concerned. Another idea is related to the plurality of goods in complicated decisions and the competition this may provoke. Thirdly, heuristic models are used to sketch situations under deliberation in order to help in making the decision. Combining the views of Marcelo Dascal, Jaakko Hintikka and Simo Knuuttila, I argue that Leibniz applied two kinds of models of rational decision-making to practical controversies, often without explicating the details. The more simple, traditional pair of scales model is best suited to cases in which one has to decide for or against some option, or to distribute goods among parties and strive for a compromise. What may be of more help in more complicated deliberations is the novel vectorial model, which is an instance of the general mathematical doctrine of the calculus of variations. To illustrate this distinction, I discuss some cases in which he apparently applied these models in different kinds of situation. These examples support the view that the models had a systematic value in his theory of practical rationality.

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The aim of the present study was to assess oral health and treatment needs among adult Iranians according to socio-demographic status, smoking, and oral hygiene, and to investigate the relationships between these determinants and oral health. Data for 4448 young adult (aged 18) and 8301 middle-aged (aged 35 to 44) Iranians were collected in 2002 as part of a national survey using the World Health Organization (WHO) criteria for sampling and clinical diagnoses, across 28 provinces by 33 calibrated examiners. Gender, age, place of residence, and level of education served as socio-demographic information, smoking as behavioural and modified plaque index (PI) as the biological risk indicator for oral hygiene. Number of teeth, decayed teeth (DT), filled teeth (FT), decayed, missing, filled teeth (DMFT), community periodontal index (CPI), and prosthodontic rehabilitation served as outcome variables of oral health. Mean number of DMFT was 4.3 (Standard deviation (SD) = 3.7) in young adults and 11.0 (SD = 6.4) among middle-aged individuals. Among young adults the D-component (DT = 70%), and among middle-aged individuals the M-component (60%) dominated in the DMFT index. Among young adults, visible plaque was found in nearly all subjects. Maximum (max) PI was associated with higher mean number of DT, and higher periodontal treatment needs. A healthy periodontium was a rare condition, with 8% of young adults and 1% of middle-aged individuals having a max CPI = 0. The majority of the CPI findings among young adults consisted of calculus (48%) and deepened periodontal pockets (21%). Respective values for middle-aged individuals were 40% and 53%. Having a deep pocket (max CPI = 4) was more likely among young adults with a low level of education (Odds ratio (OR) = 2.7, 95% Confidence interval (CI) = 1.9–4.0) than it was among well-educated individuals. Among middle-aged individuals, having calculus or a periodontal pocket was more likely in men (OR = 1.8, 95% CI = 1.6–2.0) and in illiterate subjects (OR = 6.3, 95% CI = 5.1–7.8) than it was for their counterparts. Among young adults, having 28 teeth was more (p < 0.05) prevalent among men (72% vs. 68% for women), urban residents (71% vs. 67% for rural residents), and those with a high level of education (73% vs. 60% for those with a low level). Among middle-aged individuals, having a functional dentition was associated with younger age (OR = 2.0, 95% CI = 1.7−2.5) and higher level of education (OR = 1.8, 95% CI = 1.6−2.1). Of middle-aged individuals, 2% of 35- to 39-year-olds and 5% of those aged 40 to 44 were edentulous. Among the dentate subjects (n = 7,925), prosthodontic rehabilitation was more prevalent (p < 0.001) among women, urban residents, and those with a high level of education than it was among their counterparts. Among those having 1 to 19 teeth, a removable denture was the most common type of prosthodontic rehabilitation. Middle-aged individuals lacking a functional dentition were more likely (OR = 6.0, 95% CI = 4.8−7.6) to have prosthodontic rehabilitation than were those having a functional dentition. In total, 81% of all reported being non-smokers, and 32% of men and 5% of women were current smokers. Heavy smokers were the most likely to have deepened periodontal pockets (max CPI ≥ 3, OR = 2.9, 95% CI = 1.8−4.7) and to have less than 20 teeth (OR = 2.3, 95% CI = 1.5−3.6). The findings indicate impaired oral health status in adult Iranians, particularly those of low socio-economic status and educational level. The high prevalence of dental plaque and calculus and considerable unmet treatment needs call for a preventive population strategy with special emphasis on the improvement of oral self-care and smoking cessation to tackle the underlying risk factors for oral diseases in the Iranian adult population.

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The present cross-sectional study aimed to assess oral health behaviour, dental and periodontal conditions, dental care, and their relationships among elderly dentate patients in Lithuania. The target population in the study were dentate patients aged 60 and older attending public dental services in Kedainiai, Lithuania. The data collection took place between the autumn of 1999 and the winter of 2001. Data were collected by means of a self-administered questionnaire for all (n=174) and a clinical examination targeting about half of the subjects (n=100). The questionnaire inquired about oral health behaviour, the life-first and also the most recent dental treatments, sources on and self-assessed knowledge of oral self-care, a self-reported number of teeth, and socio-demographic information. The clinical examination included basic dental and periodontal conditions. A total of 82 women and 92 men completed the questionnaire; their mean age was 69.2 and their average number of teeth was 16.2 (CI 95% 15.4-17.1). In all, 25% had 21 or more teeth and 32% indicated wearing removable dentures. The oral health behaviour, the participants reported, was poor: 30% reported twice daily toothbrushing, 57% responded that they always use fluoride toothpaste, 19% indicated daily interdental cleaning, nearly all said they take sugar in their coffee and tea, and 30% indicated going for check-ups. As the main source of information on oral self-care, the subjects indicated health professionals (82%), followed by social contacts (72%), broadcasted media (58%), and printed media (42%). A total of 34% assessed their knowledge of oral self-care as good, and their self-assessed knowledge correlated (r=0.52) with professional guidance they had received about oral self-care. In their most recent treatment, conservative (39%) and non-conservative (34%) treatments dominated, and preventive ones were the least reported (7%). Regarding guidance in oral self-care, 54% reported having received such about toothbrushing, 32% about interdental cleaning, and 33% had been given visual information. Clinical examinations revealed the presence of plaque, calculus, bleeding on probing and deepened pockets in all of the subjects; 70% of the subjects were diagnosed with pockets of 6mm and deeper, 94% with caries, and 73% with overhangs of restorations. Those subjects assessing their knowledge of oral self-care as good and reporting a higher intensity of guidance in oral self-care as received, indicated practicing the recommended oral self-care more frequently. Twice daily toothbrushing was associated with good self-assessed knowledge of oral self-care (OR 4.1, p<0.001) and a university education (OR 5.6, p<0.001). Those subjects with better oral health behaviour had a greater number of teeth. Having 21 or more teeth was associated with good self-assessed knowledge of oral self-care (OR 4.1, p=0.03). Better periodontal conditions were associated with a higher frequency of toothbrushing. The presence of periodontal pockets of 6mm and deeper was associated with the level of self-assessed knowledge of oral self-care being below good (OR=3.0, p=0.04) and the level of dental cleanliness being poor (OR=2.7, p=0.02). To conclude, oral health behaviour and conditions call for improvement in elderly subjects in Lithuania. To improve the oral health of their elderly dentate patients, dentists should apply all the available tools of chair-side prevention and active guidance. The latter would be an effective means of updating the knowledge of oral self-care and supporting recommended oral health behaviour. A preventive approach should be strongly emphasized in countries with limited resources for oral health care, such as Lithuania. Author’s address: Sonata Vyšniauskaite, Department of Oral Public Health, Institute of Dentistry, University of Helsinki, P.O.Box 41, FI-00014 Helsinki, Finland. E-mail: sonata.vysniauskaite@helsinki.fi

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Whether a statistician wants to complement a probability model for observed data with a prior distribution and carry out fully probabilistic inference, or base the inference only on the likelihood function, may be a fundamental question in theory, but in practice it may well be of less importance if the likelihood contains much more information than the prior. Maximum likelihood inference can be justified as a Gaussian approximation at the posterior mode, using flat priors. However, in situations where parametric assumptions in standard statistical models would be too rigid, more flexible model formulation, combined with fully probabilistic inference, can be achieved using hierarchical Bayesian parametrization. This work includes five articles, all of which apply probability modeling under various problems involving incomplete observation. Three of the papers apply maximum likelihood estimation and two of them hierarchical Bayesian modeling. Because maximum likelihood may be presented as a special case of Bayesian inference, but not the other way round, in the introductory part of this work we present a framework for probability-based inference using only Bayesian concepts. We also re-derive some results presented in the original articles using the toolbox equipped herein, to show that they are also justifiable under this more general framework. Here the assumption of exchangeability and de Finetti's representation theorem are applied repeatedly for justifying the use of standard parametric probability models with conditionally independent likelihood contributions. It is argued that this same reasoning can be applied also under sampling from a finite population. The main emphasis here is in probability-based inference under incomplete observation due to study design. This is illustrated using a generic two-phase cohort sampling design as an example. The alternative approaches presented for analysis of such a design are full likelihood, which utilizes all observed information, and conditional likelihood, which is restricted to a completely observed set, conditioning on the rule that generated that set. Conditional likelihood inference is also applied for a joint analysis of prevalence and incidence data, a situation subject to both left censoring and left truncation. Other topics covered are model uncertainty and causal inference using posterior predictive distributions. We formulate a non-parametric monotonic regression model for one or more covariates and a Bayesian estimation procedure, and apply the model in the context of optimal sequential treatment regimes, demonstrating that inference based on posterior predictive distributions is feasible also in this case.

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The research in model theory has extended from the study of elementary classes to non-elementary classes, i.e. to classes which are not completely axiomatizable in elementary logic. The main theme has been the attempt to generalize tools from elementary stability theory to cover more applications arising in other branches of mathematics. In this doctoral thesis we introduce finitary abstract elementary classes, a non-elementary framework of model theory. These classes are a special case of abstract elementary classes (AEC), introduced by Saharon Shelah in the 1980's. We have collected a set of properties for classes of structures, which enable us to develop a 'geometric' approach to stability theory, including an independence calculus, in a very general framework. The thesis studies AEC's with amalgamation, joint embedding, arbitrarily large models, countable Löwenheim-Skolem number and finite character. The novel idea is the property of finite character, which enables the use of a notion of a weak type instead of the usual Galois type. Notions of simplicity, superstability, Lascar strong type, primary model and U-rank are inroduced for finitary classes. A categoricity transfer result is proved for simple, tame finitary classes: categoricity in any uncountable cardinal transfers upwards and to all cardinals above the Hanf number. Unlike the previous categoricity transfer results of equal generality the theorem does not assume the categoricity cardinal being a successor. The thesis consists of three independent papers. All three papers are joint work with Tapani Hyttinen.

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The module of a quadrilateral is a positive real number which divides quadrilaterals into conformal equivalence classes. This is an introductory text to the module of a quadrilateral with some historical background and some numerical aspects. This work discusses the following topics: 1. Preliminaries 2. The module of a quadrilateral 3. The Schwarz-Christoffel Mapping 4. Symmetry properties of the module 5. Computational results 6. Other numerical methods Appendices include: Numerical evaluation of the elliptic integrals of the first kind. Matlab programs and scripts and possible topics for future research. Numerical results section covers additive quadrilaterals and the module of a quadrilateral under the movement of one of its vertex.

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This dissertation consists of an introductory section and three theoretical essays analyzing the interaction of corporate governance and restructuring. The essays adopt an incomplete contracts approach and analyze the role of different institutional designs to facilitate the alignment of the objectives of shareholders and management (or employees) over the magnitude of corporate restructuring. The first essay analyzes how a firm's choice of production technology affects the employees' human capital investment. In the essay, the owners of the firm can choose between a specific and a general technology that both require a costly human capital investment by the employees. The specific technology is initially superior in using the human capital of employees but, in contrast to the general technology, it is not compatible with future innovations. As a result, anticipated changes in the specific technology diminish the ex ante incentives of the employees to invest in human capital unless the shareholders grant the employees specific governance mechanisms (a right of veto, severance pay) so as to protect their investments. The results of the first essay indicate that the level of protection that the shareholders are willing to offer falls short of the socially desirable one. Furthermore, when restructuring opportunities become more abundant, it becomes more attractive both socially and from the viewpoint of the shareholders to initially adopt the general technology. The second essay analyzes how the allocation of authority within the firm interacts with the owners' choice of business strategy when the ability of the owners to monitor the project proposals of the management is biased in favor of the status quo strategy. The essay shows that a bias in the monitoring ability will affect not only the allocation of authority within the firm but also the choice of business strategy. Especially, when delegation has positive managerial incentive effects, delegation turns out to be more attractive under the new business strategy because the improved managerial incentives are a way for the owners to compensate their own reduced information gathering ability. This effect, however, simultaneously makes the owners hesitant to switch the strategy since it would involve a more frequent loss of control over the project choice. Consequently, the owners' lack of knowledge of the new business strategy may lead to a suboptimal choice of strategy. The third essay analyzes the implications of CEO succession process for the ideal board structure. In this essay, the presence of the departing CEO on the board facilitates the ability of the board to find a matching successor and to counsel him. However, the ex-CEO's presence may simultaneously also weaken the ability of the board to restructure since the predecessor may use the opportunity to distort the successor's project choice. The results of the essay suggest that the extent of restructuring gains, the firm's ability to hire good outside directors and the importance of board's advisory role affect at which point and for how long the shareholders may want to nominate the predecessor to the board.

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This dissertation consists of an introductory section and three essays investigating the effects of economic integration on labour demand by using theoretical models and by empirical analysis. The essays adopt an intra-industry trade approach to specify a theoretical framework of estimation for determining the effects of economic integration on employment. In all the essays the empirical aim is to explore the labour demand consequences of European integration. The first essay analyzes how labour-demand elasticities with own price have changed during the process of economic integration. As a theoretical result, intensified trade competition increases labour-demand elasticity, whereas better advantage of economies of scale decreases labour-demand elasticity by decreasing the elasticity of substitution between differentiated products. Furthermore, if integration gives rise to an increase in input-substitutability and/or outsourcing activities, labour demand will become more elastic. Using data from the manufacturing sector from 1975 to 2002, the empirical results provide support for the hypothesis that European integration has contributed to increased elasticities of total labour demand in Finland. The second essay analyzes how economic integration affects the impact of welfare poli-cies on employment. The essay considers the viability of financing the public sector, i.e. public consumption and social security expenses, by general labour taxation in an economy which has become more integrated into international product markets. The theoretical results of the second essay indicate that, as increased trade competition crowds out better economies of scale, it becomes more costly to maintain welfare systems financed by labour taxation. Using data from European countries for the years 1975 to 2004, the empirical results provide inconsistent evidence for the hypothesis that economic integration has contributed to the distortion effects of welfare policies on employment. The third essay analyzes the impact of profit sharing on employment as a way to introduce wage flexibility into the process of economic integration. The results of the essay suggest that, in theory, the effects of economic integration on the impact of profit sharing on employment clearly depend on a trade-off between intensified competition and better advantage of economies of scale. If product market competition increases, the ability of profit sharing to improve employment through economic integration increases with moderated wages. While, the economic integration associating with market power in turn decrease the possibilities of profit sharing with higher wages to improve employment. Using data from the manufacturing sector for the years 1996 to 2004, the empirical results show that profit-sharing has a positive impact on employment during the process of European integration, but can have ambiguous effects on the stability of employment in Finland.