On Games on Non-Wellfounded Sets and Stationary Sets

In this thesis we study a few games related to non-wellfounded and stationary sets. Games have turned out to be an important tool in mathematical logic ranging from semantic games defining the truth of a sentence in a given logic to for example games on real numbers whose determinacies have important effects on the consistency of certain large cardinal assumptions. The equality of non-wellfounded sets can be determined by a so called bisimulation game already used to identify processes in theoretical computer science and possible world models for modal logic. Here we present a game to classify non-wellfounded sets according to their branching structure. We also study games on stationary sets moving back to classical wellfounded set theory. We also describe a way to approximate non-wellfounded sets with hereditarily finite wellfounded sets. The framework used to do this is domain theory. In the Banach-Mazur game, also called the ideal game, the players play a descending sequence of stationary sets and the second player tries to keep their intersection stationary. The game is connected to precipitousness of the corresponding ideal. In the pressing down game first player plays regressive functions defined on stationary sets and the second player responds with a stationary set where the function is constant trying to keep the intersection stationary. This game has applications in model theory to the determinacy of the Ehrenfeucht-Fraisse game. We show that it is consistent that these games are not equivalent.

Q-evankeliumi ja psykohistoria : Uuden testamentin eksegetiikan väitöskirja

In the course of my research for my thesis The Q Gospel and Psychohistory, I moved on from the accounts of the Cynics ideals to psychohistorical explanations. Studying the texts dealing with the Cynics and the Q Gospel, I was amazed by the fact that these texts actually portrayed people living in greater poverty than they had to. I paid particular attention to the fact that the Q Gospel was born in traumatising, warlike circumstances. Psychiatric traumatology helped me understand the Q Gospel and other ancient documents using historical approaches in a way that would comply with modern behavioural science. Even though I found some answers to the questions I had posed in my research, the main result of my research work is the justification of the question: Is it important to ask whether there is a connection between the ethos expressed by means of the religious language of the Q Gospel and the predominantly war-related life experiences typical to Palestine at the time. As has been convincingly revealed by a number of studies, traumatic events contribute to the development of psychotic experiences. I approached the problematic nature, significance and complexity of the ideal of poverty and this warlike environment by clarifying the history of psychohistorical literary research and the interpretative contexts associated with Sigmund Freud, Jacques Lacan and Melanie Klein. It is justifiable to question abnormal mentality, but there is no reliable return from the abnormal mentality described in any particular text to the only affecting factor. The popular research tendency based on the Oedipus complex is just as controversial as the Oedipus complex itself. The sociological frameworks concerning moral panics and political paranoia of an outer and inner danger fit quite well with the construction of the Q Gospel. Jerrold M. Post, M.D., Professor of Psychiatry, Political Psychology and Interna-tional Affairs at George Washington University, and founder and director of the Center for the Analysis of Personality and Political Behavior for the Central Intelligence Agency, has focused on the role played by charisma in the attracting of followers and detailed the psychological styles of a "charismatic" leader. He wrote the books Political Paranoia and Leaders and Their Followers in a Dangerous World: the Psychology of Political Behavior among others. His psychoanalytic vocabulary was useful for my understanding of the minds and motivations involved in the Q Gospel s formation. The Q sect began to live in a predestined future, with the reality and safety of this world having collapsed in both their experience and their fantasies. The deep and clear-cut divisions into good and evil that are expressed in the Q Gospel reveal the powerful nature of destructive impulses, envy and overwhelming anxiety. Responsible people who influenced the Q Gospel's origination tried to mount an ascetic defense against anxiety, denying their own needs, focusing their efforts on another objective (God s Kingdom) and a regressive, submissive earlier phase of development (a child s carelessness). This spiritual process was primarily an ecclesiastic or group-dynamical tactic to give support to the power of group leaders.

A Cointegration Approach to Topics in Empirical Macroeconomics (summary section only)

Mikael Juselius’ doctoral dissertation covers a range of significant issues in modern macroeconomics by empirically testing a number of important theoretical hypotheses. The first essay presents indirect evidence within the framework of the cointegrated VAR model on the elasticity of substitution between capital and labor by using Finnish manufacturing data. Instead of estimating the elasticity of substitution by using the first order conditions, he develops a new approach that utilizes a CES production function in a model with a 3-stage decision process: investment in the long run, wage bargaining in the medium run and price and employment decisions in the short run. He estimates the elasticity of substitution to be below one. The second essay tests the restrictions implied by the core equations of the New Keynesian Model (NKM) in a vector autoregressive model (VAR) by using both Euro area and U.S. data. Both the new Keynesian Phillips curve and the aggregate demand curve are estimated and tested. The restrictions implied by the core equations of the NKM are rejected on both U.S. and Euro area data. These results are important for further research. The third essay is methodologically similar to essay 2, but it concentrates on Finnish macro data by adopting a theoretical framework of an open economy. Juselius’ results suggests that the open economy NKM framework is too stylized to provide an adequate explanation for Finnish inflation. The final essay provides a macroeconometric model of Finnish inflation and associated explanatory variables and it estimates the relative importance of different inflation theories. His main finding is that Finnish inflation is primarily determined by excess demand in the product market and by changes in the long-term interest rate. This study is part of the research agenda carried out by the Research Unit of Economic Structure and Growth (RUESG). The aim of RUESG it to conduct theoretical and empirical research with respect to important issues in industrial economics, real option theory, game theory, organization theory, theory of financial systems as well as to study problems in labor markets, macroeconomics, natural resources, taxation and time series econometrics. RUESG was established at the beginning of 1995 and is one of the National Centers of Excellence in research selected by the Academy of Finland. It is financed jointly by the Academy of Finland, the University of Helsinki, the Yrjö Jahnsson Foundation, Bank of Finland and the Nokia Group. This support is gratefully acknowledged.

Porsastuotannon tuottavuuskehitys sikatilinpäätöstiloilla vuosina 2003–2008

Tutkimuksessa mitataan porsastuotannon tuottavuuden kehitystä ProAgrian sikatilinpäätöstiloilla vuosina 2003–2008. Tuottavuutta mitataan Fisher-tuottavuusindeksillä, joka dekomponoidaan tekniseen, allokatiiviseen ja skaalatehokkuuteen sekä teknologiseen kehitykseen ja hintavaikutukseen. Koko aineistosta aggregoidulla tuottavuusindeksillä mitattuna tuottavuus kasvoi viidessä vuodessa yhteensä 14,3 % vuotuisen kasvun ollessa 2,7 %. Tuottajien keskimääräinen tuottavuusindeksi antaa lähes saman tuloksen: sen mukaan tuottavuus kasvaa yhteensä 14,7 %, mikä tekee 2,8 % vuodessa. Skaalatehokkuuden paraneminen havaitaan merkittävimmäksi tuottavuuskasvun lähteeksi. Skaalatehokkuus paranee aggregoidusti mitattuna 1,6 % vuodessa ja tiloilla keskimäärin 2,1 % vuodessa. Teknisen tehokkuuden koheneminen on toinen tuottavuuskasvua edistävä tekijä tutkimusjaksolla. Molemmilla mittaustavoilla nousu on keskimäärin 1,4 % vuodessa. Allokatiivinen tehokkuus laskee hieman: aggregoidusti mitattuna 0,1 % ja keskimäärin 0,4 % vuodessa. Teknologinen kehitys tutkimusjaksolla on lievästi negatiivista, keskimäärin -0,1 % vuodessa. Vuosittaiset vaihtelut ovat kuitenkin voimakkaita. Hintojen muutokset eivät juuri ole vaikuttaneet tuottavuuden tasoon, sillä hintavaikutuksen vuotuiset muutokset jäävät jokaisena vuonna alle puoleen prosenttiin ja keskimääräinen vuotuinen muutos on -0,1 %. Keskeinen tuottavuuskasvua edistänyt tekijä näyttää olleen tilakoon kasvu, joka on parantanut rakenteellista tehokkuutta. Teknologisen kehityksen jääminen negatiiviseksi kuitenkin tarkoittaa, että paras havaittu tuottavuuden taso ei ole noussut lainkaan.