Approximation and support theorem for a wave equation in two space dimensions

We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated in space. The result is a consequence of an approximation theorem, in the convergence of probability, for equations obtained by smoothing the random noise. For some particular classes of coefficients, approximation in the Lp-norm for p¿1 is also proved.

Modeling of the Fluid-Structure Interaction in Inelastic Piping Systems

In many engineering applications, compliant piping systems conveying liquids are subjected to inelastic deformations due to severe pressure surges such as plastic tubes in modern water supply transmission lines and metallic pipings in nuclear power plants. In these cases the design of such systems may require an adequate modeling of the interactions between the fluid dynamics and the inelastic structural pipe motions. The reliability of the prediction of fluid-pipe behavior depends mainly on the adequacy of the constitutive equations employed in the analysis. In this paper it is proposed a systematic and general approach to consistently incorporate different kinds of inelastic behaviors of the pipe material in a fluid-structure interaction analysis. The main feature of the constitutive equations considered in this work is that a very simple numerical technique can be used for solving the coupled equations describing the dynamics of the fluid and pipe wall. Numerical examples concerning the analysis of polyethylene and stainless steel pipe networks are presented to illustrate the versatility of the proposed approach.

Asiantuntijuuden hyödyntäminen pk-yritysten hallitustyössä

TIIVISTELMÄ Tekijä: Kirsi Mikkilä Tutkielman nimi: Asiantuntijuuden hyödyntäminen pk-yritysten hallitustyössä Tiedekunta: Kauppatieteellinen tiedekunta Pääaine: Yrittäjyys ja pk-yrityksen johtaminen Vuosi: 2014 Pro gradu -tutkielma: Lappeenrannan teknillinen yliopisto 103 sivua, 9 kuvioa ja 2 liitettä. Tarkastajat: KTT, prof. Timo Pihkala ja KTT, prof. Markku Ikävalko Hakusanat: hallitus, pk-yritys, asiantuntijuus Pk-yrityksen hallitustyö on yksi keskeisimmistä johtamisen välineistä, jonka avulla yritys voi mahdollistaa kasvunsa ja tuottaa omistajien sijoittamalle pääomalle parempaa tuottoa. Tämän tutkimuksen tavoitteena oli tarkastella asiantuntijuuden käyttöä pk-yritysten hallitustyöskentelyssä. Tutkimuksella etsittiin vastauksia kysymyksiin, missä yrityksen kehitysvaiheissa asiantuntijuutta lisätään hallituksessa, mitä sillä halutaan saavuttaa ja miten prosessiin valmistaudutaan. Tavoitteena oli täydentää tietämystä pk-yrityksen hallitustyön muuttumisen ja hallituksen laajenemisen mahdollisuuksista ja syistä. Tutkimus toteutettiin haastattelututkimuksena. Tutkimuksen kohdeorganisaatioiksi valittiin viisi teollisuudenalan koneiden, laitteiden ja tuotteiden toimittajayritystä Päijät-Hämeen alueelta. Tutkimusaineisto kerättiin keväällä 2014 teemahaastatteluina. Tutkimus vahvisti resurssiperustaisen näkökulman nousevan vahvasti esiin pk-yrityksien muutosvaiheista. Hallitustyö ja hallituksen jäsenten osaaminen korostui kasvuhakuisuuden lisääntyessä. Agenttiteoria sai vahvistusta omistajajäsenten valvonnan tarpeen painottuessa ja stewardship -teorian mukaisesti hallitusammattilaiset katsoivat osaamisensa hyödyntämisen olevan palkitsemista tärkeämpää.

Social Norms and Rationality of Choice

Ever since Sen (1993) criticized the notion of internal consistency of choice, there exists a wide spread perception that the standard rationalizability approach to the theory of choice has difficulties coping with the existence of external social norms. This paper introduces a concept of norm-conditional rationalizability and shows that external social norms can be accommodated so as to be compatible with norm-conditional rationalizability by means of suitably modified revealed preference axioms in the theory of rational choice on general domains à la Richter (1966;1971) and Hansson (1968)

Rationality, External Norms and the Epistemic Value of Menus

Ever since Sen’s (1993; 1997) criticism on the notion of internal consistency or menu independence of choice, there exists a widespread perception that the standard revealed preference approach to the theory of rational choice has difficulties in coping with the existence of external norms, or the information a menu of choice might convey to a decision-maker, viz., the epistemic value of a menu. This paper provides a brief survey of possible responses to these criticisms of traditional rational choice theory. It is shown that a novel concept of norm-conditional rationalizability can neatly accommodate external norms within the standard framework of rationalizability theory. Furthermore, we illustrate that there are several ways of incorporating considerations regarding the epistemic value of opportunity sets into a generalized model of rational choice theory.

Revealed Preference and Choice under Uncertainty

We employ the theory of rational choice to examine whether observable choices from feasible sets of prospects can be generated by the optimization of some underlying decision criterion under uncertainty. Rather than focusing on a specific theory of choice, our objective is to formulate a general approach that is designed to cover the various decision criteria that have been proposed in the literature. We use a mild dominance property to define a class of suitable choice criteria. In addition to rationalizability per se, we characterize transitive and Suzumura consistent rationalizability in the presence of dominance.

Inclusive fitness maximization: an axiomatic approach

Kin selection theorists argue that evolution in social contexts will lead organisms to behave as if maximizing their inclusive, as opposed to personal, fitness. The inclusive fitness concept allows biologists to treat organisms as akin to rational agents seeking to maximize a utility function. Here we develop this idea and place it on a firm footing by employing a standard decision-theoretic methodology. We show how the principle of inclusive fitness maximization and a related principle of quasi-inclusive fitness maximization can be derived from axioms on an individual’s ‘as if preferences’ (binary choices). Our results help integrate evolutionary theory and rational choice theory, help draw out the behavioural implications of inclusive fitness maximization, and point to a possible way in which evolution could lead organisms to implement it.

Studies on Fuzzy Graphs

In this thesis an attempt to develop the properties of basic concepts in fuzzy graphs such as fuzzy bridges, fuzzy cutnodes, fuzzy trees and blocks in fuzzy graphs have been made. The notion of complement of a fuzzy graph is modified and some of its properties are studied. Since the notion of complement has just been initiated, several properties of G and G available for crisp graphs can be studied for fuzzy graphs also. Mainly focused on fuzzy trees defined by Rosenfeld in [10] , several other types of fuzzy trees are defined depending on the acyclicity level of a fuzzy graph. It is observed that there are selfcentered fuzzy trees. Some operations on fuzzy graphs and prove that complement of the union two fuzzy graphs is the join of their complements and complement of the join of two fuzzy graphs is union of their complements. The study of fuzzy graphs made in this thesis is far from being complete. The wide ranging applications of graph theory and the interdisciplinary nature of fuzzy set theory, if properly blended together could pave a way for a substantial growth of fuzzy graph theory.

Institutions, Behavior and Evolution

The three articles constituting this thesis are for reasons of content or method related to the following three fields in economics: Behavioral Economics, Evolutionary Game Theory and Formal Institutional Economics. A core element of these fields is the concept of individual preferences. Preferences are of central importance for the conceptional framework to analyze human behavior. They form the foundation for the theory of rational choice which is defined by the determination of the choice set and the selection of the most preferred alternative according to some consistency requirements. The theory of rational choice is based on a very simplified description of the problem of choice (object function and constraints). However, that choices depend on many more factors is for instance propagated by psychological theories and is supported by many empirical and experimental studies. This thesis adds to a better understanding of individual behavior to the extent that the evolution of certain characteristics of preferences and their consequences on human behavior forms the overarching theme of the dissertation. The long-term effect of evolutionary forces on a particular characteristic of importance in the theoretical, empirical and experimental economic literature, the concept of inequality aversion, is subject of the article “The evolution of inequality aversion in a simplified game of life” (Chapter 4). The contribution of the article is the overcoming of a restriction of former approaches to analyze the evolution of preferences in very simple environments. By classifying human interaction into three central economic games, the article provides a first step towards a simplified and sufficiently complete description of the interaction environment. Within such an environment the article characterizes the evolutionary stable preference distribution. One result shows, that the interaction of the aforementioned three classes can stabilize a preference of inequality aversion in the subpopulation which is favored in the problem of redistribution. The two remaining articles are concerned with social norms, which dissemination is determined by medium-run forces of cultural evolution. The article “The impact of market innovations on the evolution of social norms: the sustainability case.“ (Chapter 2) studies the interrelation between product innovations which are relevant from a sustainability perspective and an according social norm in consumption. This relation is based on a conformity bias in consumption and the attempt to avoid cognitive dissonances resulting from non-compliant consumption. Among others, it is shown that a conformity bias on the consumption side can lead to multiple equilibria on the side of norm adoption. The article “Evolution of cooperation in social dilemmas: signaling internalized norms.” (Chapter 3) studies the emergence of cooperation in social dilemmas based on the signaling of social norms. The article provides a potential explanation of cooperative behavior, which does not rely on the assumption of structured populations or on the unmotivated ability of social norms to restrict individual actions or strategy spaces. A comprehensive result of the single articles is the explanation of the phenomenon of partial norm adaption or dissemination of preferences. The plurality of the applied approaches with respect to the proximity to the rational choice approach and regarding the underlying evolutionary mechanics is a particular strength of the thesis. It shows the equality of these approaches in their potential to explain the phenomenon of cooperation in environments that provide material incentives for defective behavior. This also points to the need of a unified framework considering the biological and cultural coevolution of preference patterns.

La teoría de juegos en el proceso de paz palestino-israelí (1991-2000)

A partir de una breve pero sustanciosa introducción de las diferencias entre palestinos e israelíes, el autor analiza a través del uso de la teoría de juegos el escenario formado en el proceso de paz palestino-israelí. Una interrogante que el autor trata de esclarecer a lo largo de su trabajo es la posibilidad de alcanzar la paz entre ambos bandos, si los actores considerados por la teoría de juegos como racionales, actúan de manera cooperativa al interactuar.-----Starting with a short but thorough introduction of the differences between Palestinians and Israelis, the author analyzes through the games theory the scenario set up during the Palestinian-Israeli peace process. The question the author tries to solve along his paper is the possibility for both sides to reach the peace, if the actors considered by the games theory as rational act on a cooperative way when interacting.

Salud y crecimiento económico: un modelo de generaciones traslapadas, expectativa de vida endógena y capital humano

Este trabajo desarrolla un modelo de generaciones traslapadas con expectativa de vida endógena y capital humano. Recoge parte de la evidencia empírica acerca de la transición demográfica explicada por Notestein en 1945, donde variaciones en la longevidad de los individuos afectan positivamente el crecimiento económico de un país. El modelo establece que la falta de incentivos para invertir en salud estanca a una economía en una trampa de pobreza y muestra que incrementos en la productividad en el sector de producción de capital humano, al igual que cambios tecnológicos sesgados al uso intensivo del mismo, incrementan el producto de estado estacionario y pueden sacar a una economía de una trampa de pobreza.

Does uncertainty cause inertia in decision making? An experimental study of the role of regret aversion and indecisiveness

Previous research has shown that often there is clear inertia in individual decision making---that is, a tendency for decision makers to choose a status quo option. I conduct a laboratory experiment to investigate two potential determinants of inertia in uncertain environments: (i) regret aversion and (ii) ambiguity-driven indecisiveness. I use a between-subjects design with varying conditions to identify the effects of these two mechanisms on choice behavior. In each condition, participants choose between two simple real gambles, one of which is the status quo option. I find that inertia is quite large and that both mechanisms are equally important.

Risk, ambiguity, and diversification

Attitudes toward risk influence the decision to diversify among uncertain options. Yet, because in most situations the options are ambiguous, attitudes toward ambiguity may also play an important role. I conduct a laboratory experiment to investigate the effect of ambiguity on the decision to diversify. I find that diversification is more prevalent and more persistent under ambiguity than under risk. Moreover, excess diversification under ambiguity is driven by participants who stick with a status quo gamble when diversification among gambles is not feasible. This behavioral pattern cannot be accommodated by major theories of choice under ambiguity.

Shear banding in molecular dynamics of polymer melts

In order to establish constitutive equations for a viscoelastic fluid uniform shear flow is usually required. However, in the last 10 years S. Q. Wang and co-workers have demonstrated that some entangled polymers do not flow with the uniform shear rate as usually assumed, but instead choose to separate into fast and slow flowing regions. This phenomenon, known as shear banding, causes flow instabilities and in principle invalidates all rheological measurements when it occurs. In this Letter we report the first observation of shear banding in molecular dynamics simulations of entangled polymer melts. We show that our observations are in a very good agreement with the phenomenology developed by Fielding and Olmsted. Our findings provide a simple way of validating the empirical macroscopic phenomenology of shear banding. © 2012 American Physical Society

Modelling the rheology of anisotropic particles adsorbed on a two-dimensional fluid interface

We present a general approach based on nonequilibrium thermodynamics for bridging the gap between a well-defined microscopic model and the macroscopic rheology of particle-stabilised interfaces. Our approach is illustrated by starting with a microscopic model of hard ellipsoids confined to a planar surface, which is intended to simply represent a particle-stabilised fluid–fluid interface. More complex microscopic models can be readily handled using the methods outlined in this paper. From the aforementioned microscopic starting point, we obtain the macroscopic, constitutive equations using a combination of systematic coarse-graining, computer experiments and Hamiltonian dynamics. Exemplary numerical solutions of the constitutive equations are given for a variety of experimentally relevant flow situations to explore the rheological behaviour of our model. In particular, we calculate the shear and dilatational moduli of the interface over a wide range of surface coverages, ranging from the dilute isotropic regime, to the concentrated nematic regime.