Essays on Game Theory
Essays on Game Theory

Author: The late John F. Nash

Publisher: Edward Elgar Publishing

Published: 1996-01-01

Total Pages: 116

ISBN-13: 9781781956298

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'This short volume is very welcome . . . Most importantly, on pages 32-33, the volume reprints as an appendix to the journal article based on Nash's Princeton doctoral dissertation on non-cooperative games a section of the thesis on "motivation and interpretation" that was omitted from the article. An editorial note remarks mildly that "The missing section is of considerable interest". This section, not available in any other published source, makes the present volume indispensable for research libraries . . . Nash's Essays on Game Theory, dating from his years as a Princeton graduate student . . . has a lasting impact on economics and related fields unmatched by any series of articles written in such a brief time . . . To economists, his name will always bring to mind his game theory papers of the early 1950s. It is good to have these conveniently reprinted in this volume.' - Robert W. Dimand, The Economic Journal 'The news that John Nash was to share the 1994 Nobel Prize for Economics with John Harsanyi and Reinhard Selten was doubly welcome. It signalled not only that the brilliant achievements of his youth were to be recognized in a manner consistent with their significance, but that the long illness that clouded his later years had fallen into remission. I hope that this collection of his economic papers will serve as another reminder that John Nash has rejoined the intellectual community to which he has contributed so much.' - From the introduction by Ken Binmore Essays on Game Theory is a unique collection of seven of John Nash's essays which highlight his pioneering contribution to game theory in economics. Featuring a comprehensive introduction by Ken Binmore which explains and summarizes John Nash's achievements in the field of non-cooperative and cooperative game theory, this book will be an indispensable reference for scholars and will be welcomed by those with an interest in game theory and its applications to the social sciences.

Social Choice and Individual Values
Social Choice and Individual Values

Author: Kenneth J. Arrow

Publisher: Yale University Press

Published: 2012-06-26

Total Pages: 347

ISBN-13: 0300186983

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Originally published in 1951, "Social Choice and Individual Values" introduced "Arrow's Impossibility Theorem" and founded the field of social choice theory in economics and political science. This new edition, including a new foreword by Nobel laureate Eric Maskin, reintroduces Arrow's seminal book to a new generation of students and researchers."Far beyond a classic, this small book unleashed the ongoing explosion of interest in social choice and voting theory. A half-century later, the book remains full of profound insight: its central message, 'Arrow's Theorem, ' has changed the way we think."--Donald G. Saari, author of "Decisions and Elections: Explaining the Unexpected "

Game Theory, Social Choice and Ethics
Game Theory, Social Choice and Ethics

Author: H. Brock

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 195

ISBN-13: 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.

Rationality in Action
Rationality in Action

Author: Paul K. Moser

Publisher: Cambridge University Press

Published: 1990-10-26

Total Pages: 508

ISBN-13: 9780521385985

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An anthology of previously published pieces that have proven long term importance to theoretical work in rational action.

The Experiment in the History of Economics
The Experiment in the History of Economics

Author: Philippe Fontaine

Publisher: Routledge

Published: 2005-07-12

Total Pages: 202

ISBN-13: 1134287593

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Throughout the history of economic ideas, it has often been asserted that experimentation is impossible, yet, in fact, history shows that the idea of ‘experimentation’ has always been important, and as such has been interpreted and put to use in many ways. Rich in historical detail, the essays in this topical volume deal with such issues as laboratory experimentation, the observed transition from a post-war economics to a contemporary discipline, the contrasting positions of Friedrich Hayek and Oskar Morgenstern, the socio-economic experiments proposed by Ernest Solvay and Knut Wicksell, and a rigorous examination of the way in which economic models can or cannot be construed as valid experiments producing useful knowledge. A testament to the variety of ways in which experimentation has been of importance in the creation of economic knowledge, these wide-ranging essays will interest those seeking to expand their historical understanding of the discipline, be they theorists, historians, philosophers, advanced students or researchers.

Topics in Mathematical Economics and Game Theory
Topics in Mathematical Economics and Game Theory

Author: Robert J. Aumann

Publisher: American Mathematical Soc.

Published: 1999

Total Pages: 306

ISBN-13: 9780821805251

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Since the publication of "Theory of Games and Economic Behavior" by von Neumann and Morgenstern, the concept of games has played an increasing role in economics. It also plays a role of growing importance in other sciences, including biology, political science, and psychology. Many scientists have made seminal advances and continue to be leaders in the field, including Harsanyi, Shapley, Shubik, and Selten. Professor Robert Aumann, in addition to his important contributions to game theory and economics, made a number of significant contributions to mathematics. This volume provides a collection of essays in mathematical economics and game theory, including cutting-edge research on noncooperative game theory and its foundations, bargaining theory, and general equilibrium theory. Also included is a reprint of Aumann's classic paper, "Acceptable Points in General Cooperative n-Person Games" and of the oft-cited, yet hard to find, paper by Maschler, "The Worth of a Cooperative Enterprise to Each Member". This book illustrates the wide range of applications of mathematics to economics, game theory, and social choice. The volume is dedicated to Professor Robert J. Aumann, Hebrew University, Jerusalem, Israel, for his contributions in mathematics and social sciences.

The Mathematics of Preference, Choice and Order
The Mathematics of Preference, Choice and Order

Author: Steven Brams

Publisher: Springer Science & Business Media

Published: 2009-02-11

Total Pages: 412

ISBN-13: 3540791280

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Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.