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Author: J.C. Harsanyi
Publisher: Springer Science & Business Media
ISBN: 9401725276
Category : Philosophy
Languages : en
Pages : 264
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Book Description
This volume contains twelve of my game-theoretical papers, published in the period of 1956-80. It complements my Essays on Ethics, Social Behavior, and Scientific Explanation, Reidel, 1976, and my Rational Behavior and Bargaining Equilibrium in Games and Social Situations, Cambridge University Press, 1977. These twelve papers deal with a wide range of game-theoretical problems. But there is a common intellectual thread going though all of them: they are all parts of an attempt to generalize and combine various game-theoretical solution concepts into a unified solution theory yielding one-point solutions for both cooperative and noncooperative games, and covering even such 'non-classical' games as games with incomplete information. SECTION A The first three papers deal with bargaining models. The first one discusses Nash's two-person bargaining solution and shows its equivalence with Zeuthen's bargaining theory. The second considers the rationality postulates underlying the Nash-Zeuthen theory and defends it against Schelling's objections. The third extends the Shapley value to games without transferable utility and proposes a solution concept that is at the same time a generaliza tion of the Shapley value and of the Nash bargaining solution.
Author: J.C. Harsanyi
Publisher: Springer Science & Business Media
ISBN: 9401725276
Category : Philosophy
Languages : en
Pages : 264
Get Book Here
Book Description
This volume contains twelve of my game-theoretical papers, published in the period of 1956-80. It complements my Essays on Ethics, Social Behavior, and Scientific Explanation, Reidel, 1976, and my Rational Behavior and Bargaining Equilibrium in Games and Social Situations, Cambridge University Press, 1977. These twelve papers deal with a wide range of game-theoretical problems. But there is a common intellectual thread going though all of them: they are all parts of an attempt to generalize and combine various game-theoretical solution concepts into a unified solution theory yielding one-point solutions for both cooperative and noncooperative games, and covering even such 'non-classical' games as games with incomplete information. SECTION A The first three papers deal with bargaining models. The first one discusses Nash's two-person bargaining solution and shows its equivalence with Zeuthen's bargaining theory. The second considers the rationality postulates underlying the Nash-Zeuthen theory and defends it against Schelling's objections. The third extends the Shapley value to games without transferable utility and proposes a solution concept that is at the same time a generaliza tion of the Shapley value and of the Nash bargaining solution.
Author: Robert J. Aumann
Publisher: MIT Press
ISBN: 9780262011549
Category : Business & Economics
Languages : en
Pages : 806
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Book Description
Robert Aumann's career in game theory has spanned over research - from his doctoral dissertation in 1956 to papers as recent as January 1995. Threaded through all of Aumann's work (symbolized in his thesis on knots) is the study of relationships between different ideas, between different phenomena, and between ideas and phenomena. When you look closely at one scientific idea, writes Aumann, you find it hitched to all others. It is these hitches that I have tried to study.
Author: Christian Schmidt
Publisher: Routledge
ISBN: 1134511183
Category : Business & Economics
Languages : en
Pages : 202
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Book Description
This book presents the huge variety of current contributions of game theory to economics. The reader is taken through a concise history of game theory and exposed to original pieces of work that are significant to game theory as a whole.
Author: Paul Erickson
Publisher: University of Chicago Press
ISBN: 022609720X
Category : Science
Languages : en
Pages : 397
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Book Description
In recent decades game theory—the mathematics of rational decision-making by interacting individuals—has assumed a central place in our understanding of capitalist markets, the evolution of social behavior in animals, and even the ethics of altruism and fairness in human beings. With game theory’s ubiquity, however, has come a great deal of misunderstanding. Critics of the contemporary social sciences view it as part of an unwelcome trend toward the marginalization of historicist and interpretive styles of inquiry, and many accuse its proponents of presenting a thin and empirically dubious view of human choice. The World the Game Theorists Made seeks to explain the ascendency of game theory, focusing on the poorly understood period between the publication of John von Neumann and Oscar Morgenstern’s seminal Theory of Games and Economic Behavior in 1944 and the theory’s revival in economics in the 1980s. Drawing on a diverse collection of institutional archives, personal correspondence and papers, and interviews, Paul Erickson shows how game theory offered social scientists, biologists, military strategists, and others a common, flexible language that could facilitate wide-ranging thought and debate on some of the most critical issues of the day.
Author: Eric Solomon
Publisher: Courier Corporation
ISBN: 9780486278728
Category : Games & Activities
Languages : en
Pages : 84
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Book Description
16 entertaining diversions for players of all ages, with clear instructions and illustrations for playing Boxes, Hangman, Three-Dimensional Noughts and Crosses (a version of Tic-Tac-Toe) and more.
Author: Melvin Dresher
Publisher: Princeton University Press
ISBN: 140088201X
Category : Mathematics
Languages : en
Pages : 693
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Book Description
A classic treatment of game theory from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Hans Peters
Publisher: Springer Science & Business Media
ISBN: 3540692916
Category : Business & Economics
Languages : en
Pages : 362
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Book Description
This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.
Author: Robert J. Aumann
Publisher: American Mathematical Soc.
ISBN: 9780821805251
Category : Business & Economics
Languages : en
Pages : 306
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Book Description
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.
Author: Anatol Rapoport
Publisher: Springer Science & Business Media
ISBN: 9401021619
Category : Social Science
Languages : en
Pages : 287
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Book Description
Game theory could be formally defined as a theory of rational decision in conflict situations. Models of such situations, as they are conceived in game theory, involve (1) a set of decision makers, called players; (2) a set of strategies available to each player; (3) a set of outcomes, each of which is a result of particular choices of strategies made by the players on a given play of the game; and (4) a set of payoffs accorded to each player in each of the possible outcomes. It is assumed that each player is 'individually rational', in the sense that his preference ordering of the outcomes is determined by the order of magnitudes of his (and only his) associated payoffs. Further, a player is rational in the sense that he assumes that every other player is rational in the above sense. The rational player utilizes knowledge of the other players' payoffs in guiding his choice of strategy, because it gives him information about how the other players' choices are guided. Since, in general, the orders of magnitude of the payoffs that accrue to the several players in the several outcomes do not coincide, a game of strategy is a model of a situation involving conflicts of interests.
Author: Jie Fu
Publisher: Springer Nature
ISBN: 3031506707
Category : Computers
Languages : en
Pages : 409
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Book Description
This book constitutes the refereed proceedings of the 14th International Conference on Decision and Game Theory for Security, GameSec 2023, held in Avignon, France, during October 18–20, 2023. The 19 full papers and 4 short papers included in this book were carefully reviewed and selected from 33 submissions. They were organized in topical sections as follows: Mechanism design and imperfect information, Security Games, Learning in security games, Cyber deception, Economics of security, Information and privacy and Short articles.
