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Game Theory, Social Choice and Ethics

Game Theory, Social Choice and Ethics
Author: H. Brock
Publisher: Springer Science & Business Media
Total Pages: 195
Release: 2012-12-06
Genre: Mathematics
ISBN: 9400995326

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There are problems to whose solution I would attach an infinitely greater import ancf! than to those of mathematics, for example touching ethics, or our relation to God, or conceming our destiny and our future; but their solution lies wholly beyond us and completely outside the province 0 f science. J. F. C. Gauss For a1l his prescience in matters physical and mathematieal, the great Gauss apparently did not foresee one development peculiar to OUT own time. The development I have in mind is the use of mathematical reasoning - in partieu lar the axiomatic method - to explicate alternative concepts of rationality and morality. The present bipartite collection of essays (Vol. 11, Nos. 2 and 3 of this journal) is entitled 'Game Theory, Social Choiee, and Ethics'. The eight papers represent state-of-the-art research in formal moral theory. Their intended aim is to demonstrate how the methods of game theory, decision theory, and axiomatic social choice theory can help to illuminate ethical questions central not only to moral theory, but also to normative public policy analysis. Before discussion of the contents of the papers, it should prove helpful to recall a number of pioneering papers that appeared during the decade of the 1950s. These papers contained aseries of mathematical and conceptual break through which laid the basis for much of today's research in formal moral theory. The papers deal with two somewhat distinct topics: the concept of individual and collective rationality, and the concept of social justiee.


Social Choice, Welfare, and Ethics

Social Choice, Welfare, and Ethics
Author: William A. Barnett
Publisher: Cambridge University Press
Total Pages: 438
Release: 1995-02-24
Genre: Business & Economics
ISBN: 9780521443401

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Parts three and four are devoted to algebraic and combinatorial aspects of social choice theory, including analyses of Arrow's Theorem, consensus functions, and the role of geometry. Part five deals with the application of cooperative game theory to social choice.


Game Theory, Decision Theory, and Social Choice Theory in the Context of a New Theory of Equity

Game Theory, Decision Theory, and Social Choice Theory in the Context of a New Theory of Equity
Author:
Publisher:
Total Pages: 44
Release: 1978
Genre:
ISBN:

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Some of thee interrelationships between game theory, axiomatic social choice theory, and ethics are set forth in the context of a new theory of equity. One of the principal functions of the new theory is to explicate alternative intuitive concepts of equity such as 'To Each According to His Needs, ' and 'To Each According to His Contribution.' Game theoretic methods are used not only to provide an unambiguous, analytical characterization of these (and other) concepts, but also to integrate the various concepts within a single, coherent account of equity. In Section II, the reader is furnished with an overview of the Basic structure of the theory. In Section III, the subtheory of distribution according to relative needs is developed. Here attention is drawn to the mathematical equivalence of the ethical model developed in this theory with the Nash-Harsanyi theory of pure n-person bargaining games and with the Kaneko-Nakamura version of axiomatic social choice theory. In Section IV, the subtheory of distribution according to relative contribution is discussed. And Section V presents an informal characterization of a two-stage game, which when played, will realize 'full distributive justice' as understood in the new theory.


Population Issues in Social Choice Theory, Welfare Economics, and Ethics

Population Issues in Social Choice Theory, Welfare Economics, and Ethics
Author: Charles Blackorby
Publisher: Cambridge University Press
Total Pages: 392
Release: 2005-08-22
Genre: Business & Economics
ISBN: 9780521825511

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This book explores how different ideas of the common good may be compared, contrasted and ranked.


Economics and Computation

Economics and Computation
Author: Jörg Rothe
Publisher: Springer Nature
Total Pages: 779
Release: 2024
Genre: Econometrics
ISBN: 3031600991

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This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.


Game Theory, Experience, Rationality

Game Theory, Experience, Rationality
Author: W. Leinfellner
Publisher: Springer Science & Business Media
Total Pages: 476
Release: 2013-06-29
Genre: Business & Economics
ISBN: 9401716544

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When von Neumann's and Morgenstern's Theory of Games and Economic Behavior appeared in 1944, one thought that a complete theory of strategic social behavior had appeared out of nowhere. However, game theory has, to this very day, remained a fast-growing assemblage of models which have gradually been united in a new social theory - a theory that is far from being completed even after recent advances in game theory, as evidenced by the work of the three Nobel Prize winners, John F. Nash, John C. Harsanyi, and Reinhard Selten. Two of them, Harsanyi and Selten, have contributed important articles to the present volume. This book leaves no doubt that the game-theoretical models are on the right track to becoming a respectable new theory, just like the great theories of the twentieth century originated from formerly separate models which merged in the course of decades. For social scientists, the age of great discover ies is not over. The recent advances of today's game theory surpass by far the results of traditional game theory. For example, modem game theory has a new empirical and social foundation, namely, societal experiences; this has changed its methods, its "rationality. " Morgenstern (I worked together with him for four years) dreamed of an encompassing theory of social behavior. With the inclusion of the concept of evolution in mathematical form, this dream will become true. Perhaps the new foundation will even lead to a new name, "conflict theory" instead of "game theory.


Collective Decision Making

Collective Decision Making
Author: Adrian Van Deemen
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2010-06-03
Genre: Business & Economics
ISBN: 3642028659

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Harrie de Swart is a Dutch logician and mathematician with a great and open int- est in applications of logic. After being confronted with Arrow’s Theorem, Harrie became very interested in social choice theory. In 1986 he took the initiative to start up a group of Dutch scientists for the study of social choice theory. This initiative grew out to a research group and a series of colloquia, which were held approximately every month at the University of Tilburg in The Netherlands. The organization of the colloquia was in the hands of Harrie and under his guidance they became more and more internationally known. Many international scholars liked visiting the social choice colloquia in Tilburg and enjoyed giving one or more presentations about their work. They liked Harrie’s kindness and hospitality, and the openness of the group for anything and everything in the eld of social choice. The Social Choice Theory Group started up by Harrie consisted, and still c- sists, of scholars from several disciplines; mostly economics, mathematics, and (mathematical) psychology. It was set up for the study of and discussion about anything that had to do with social choice theory including, and not in the least, the supervision of PhD students in the theory. Members of the group were, among o- ers, Thom Bezembinder (psychologist), Hans Peters (mathematician), Pieter Ruys (economist), Stef Tijs (mathematician and game theorist) and, of course, Harrie de Swart (logician and mathematician).


Social Choice Theory

Social Choice Theory
Author: Jerry S. Kelly
Publisher: Springer Science & Business Media
Total Pages: 174
Release: 2013-03-09
Genre: Business & Economics
ISBN: 366209925X

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This is a textbook introducing selected topics in formal social choice theory. Social choice theory studies group choices that are based on information about preferences of members of the group (voting rules being one important special case). This involves economics, which provides the method of modelling individual decision making; political philosophy, which provides criteria about the allocation of decision-influencing power; and game theory, which provides a framework for thinking about the strategies individuals employ in trying to influence the group choice. The goal of this book is to take basic ideas like impossibility theorems, rights exercising and strategy proofness and give the student just enough technical background to be able to understand these ideas in a logically rigorous way. This is done through a set of 250 exercises that constitute the heart of the book and which differentiate this book from all other texts in social choice theory.


Decision Theory and Social Ethics

Decision Theory and Social Ethics
Author: H.W. Gottinger
Publisher: Springer Science & Business Media
Total Pages: 340
Release: 2012-12-06
Genre: Social Science
ISBN: 9400998384

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Ethics, as one of the most respectable disciplines of philosophy, has undergone a drastic and revolutionary change in recent time. There are three main trends of this development. The first trend can be described as a tendency towards a rigorous formal and analytical language. This means simply that ethics has created beside its own formalized set theoretical language a variety of new formalized, logical and mathemati cal methods and concepts. Thus ethics has become a formalized meta or epidiscipline which is going to replace the traditional concepts, principles and ethical methods in the realm of social sciences. It is clear that a formalized form of ethics can be used more easily in social, economic and political theories if there are ethical conflicts to be solved. This first trend can be regarded as a conditio sine qua non for application in, and imposing ethical solutions on, social scientific theories. The second trend may be characterized as an association- or unification-tendency of a formalized and analytical ethics with decision theory. Decision theory as a new interdiscipline of social sciences is actually an assemblage of a variety of subtheories such as value-utility theory, game theory, collective decision theory, etc. Harsanyi has called this complex of subtheories a general theory of human behavior. Analytical or formal ethics is actually using this general theory of human behavior as a vehicle simply because this theory deals from the beginning with conflict solution, i. e.


Social Choice and Welfare

Social Choice and Welfare
Author: P.K. Pattanaik
Publisher: Elsevier
Total Pages: 336
Release: 2016-04-20
Genre: Business & Economics
ISBN: 148329059X

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This volume comprises papers presented at the Symposium on Collective Choice, by leading experts in this field. It presents recent advances in Social Choice Theory and Welfare Economics. The papers are classified in two broad groups: (1) those dealing with the ethical aspects of the theory of social choice and (2) those concerned with the positive aspects. The papers in the first part are concerned with the Arrow-type aggregation problem or aspects of it and with more specific questions relating to optimality, justice and welfare. In part II several papers discuss the problem of strategic misrevelation of preferences by individuals, others discuss simple voting games, social choice-correspondences and electoral competition. The main features are: - Recent advances in social choice theory and welfare economics - New mathematical approaches to social choice theory (differential and algebraic topology) -New aspects of the concepts of justice and optimality in welfare economics and social choice.