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Game Theory


Balanced Silverman Games on General Discrete Sets (Lecture Notes in Economics and Mathematical Systems 365)

Balanced Silverman Games on General Discrete Sets (Lecture Notes in Economics and Mathematical Systems 365) Lowest new price: $37.27
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Author: Gerald A. Heuer

A Silverman game is a two-person zero-sum game defined in terms of two sets S I and S II of positive numbers, and two parameters, the threshold T > 1 and the penalty v > 0. Players I and II independently choose numbers from S I and S II, respectively. The higher number wins 1, unless it is at least T times as large as the other, in which case it loses v. Equal numbers tie. Such a game might be used to model various bidding or spending situations in which within some bounds the higher bidder or bigger spender wins, but loses if it is overdone. Such situations may include spending on armaments, advertising spending or sealed bids in an auction. Previous work has dealt mainly with special cases. In this work recent progress for arbitrary discrete sets S I and S II is presented. Under quite general conditions, these games reduce to finite matrix games. A large class of games are completely determined by the diagonal of the matrix, and it is shown how the great majority of these appear to have unique optimal strategies. The work is accessible to all who are familiar with basic noncooperative game theory.


Differential Games: Developments in Modelling and Computation : Proceedings of the 4th International Symposium on Differential Games and Applications

Differential Games: Developments in Modelling and Computation : Proceedings of the 4th International Symposium on Differential Games and Applications Lowest new price: $64.86
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Author: R. P. Hamalainen


Game Equilibrium Models I: Evolution and Game Dynamics

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The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interes for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume I Evolution and Game Dynamics mainly deals with dynamic stability with respect to evolutionary processes. The book offers not only theoretical classification of the foundations of evolutionary game theory, but also exciting new biological applications. Volume II Methods, Morals and Markets contains areas of research which will attract the interest of economists, political scientists, mathematicians and philosophers. The papers deal with the methodology of analysis of games, game theoretic contributions to fundamental ethical questions facing societies and game-theoretic analyses of market environments. Volume III Strategic Bargaining contains ten papers on game equilibrium models of bargaining. All these contributions look at bargaining situations as non-cooperative games. General models of two-person and n-person bargaining are explored. Volume IV Social and Political Interaction contains game equilibrium models focussing on social and political interaction within communities or states or between states, i.e. national and international social and political interaction. Specific aspects of those interactions are modelled as non-cooperative games and their equilibria are analysed.


Game Equilibrium Models II: Methods, Morals, and Markets

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The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume II Methods, Morals and Markets contains areas of research which will attract the interest of economists, political scientists, mathematicians and philosophers. The papers deal with the methodology of analysis of games, game theoretic contributions to fundamental ethical questions facing societies and game-theoretic analyses of market environments.


Game Equilibrium Models III: Strategic Bargaining

Game Equilibrium Models III: Strategic Bargaining Lowest new price: $115.61
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The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume III Strategic Bargaining contains ten papers on game equilibrium models of bargaining. All these contributions look at bargaining situations as non-cooperative games. General models of two-person and n-person bargaining are explored.


Game Equilibrium Models IV: Social and Political Interaction

Game Equilibrium Models IV: Social and Political Interaction Lowest new price: $143.72
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The four volumes of Game Equilibrium Models present applications of non-cooperative game theory. Problems of strategic interaction arising in biology, economics, political science and the social sciences in general are treated in 42 papers on a wide variety of subjects. Internationally known authors with backgrounds in various disciplines have contributed original research. The reader finds innovative modelling combined with advanced methods of analysis. The four volumes are the outcome of a research year at the Center for Interdisciplinary Studies of the University of Bielefeld. The close interaction of an international interdisciplinary group of researchers has produced an unusual collection of remarkable results of great interest for everybody who wants to be informed on the scope, potential, and future direction of work in applied game theory. Volume IV Social and Political Interaction contains game equilibrium models focussing on social and political interaction within communities or states or between states, i.e. national and international social and political interaction. Specific aspects of those interactions are modelled as non-cooperative games and their equilibria are analysed.


Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economics and Mathematical Systems)

Game Theoretical Foundations of Evolutionary Stability (Lecture Notes in Economics and Mathematical Systems) Lowest used price: $115.20
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Author: Immanuel M. Bomze

This book provides a systematic treatment of the mathematical aspects of evolutionary stability, which has become a central concept in theoretical biology and biomathematics in recent years. The purpose of the book is to create a general mathematical theory for evolutionary stability, which allows a unified treatment of the seemingly unrelated case by case studies currently dominating the literature on this subject. This goal is achieved by laying out the framework for a general game theoretical model containing the models considered in the literature as special cases. Furthermore, conditions for evolutionary stability and for a stricter stability concept are explored. Apart from the general discussion, these stability concepts are studied extensively in some important classes of evolutionary games, which have been investigated in the literature. The relation between evolutionary stability and the replicator dynamics is also discussed.


Global Interdependence: Simulation and Gaming Perspectives : Proceedings of the 22nd International Conference of the International Simulation and Ga

Global Interdependence: Simulation and Gaming Perspectives : Proceedings of the 22nd International Conference of the International Simulation and Ga Lowest new price: $129.78
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Author: D. Crookall

The volume contains selected papers presented at the 22nd Annual International Conference of the International Simulation and Gaming Association (ISAGA) in Kyoto, Japan. The authors provide overviews and concrete examples of the ways in which simulation/gaming is used around the world. The book brings together the two themes simulation/gaming and global interdependence. It also brings an interdisciplinary perspective to simulation/gaming applications in such areas as - cross-cultural communication, - international understanding, - global modeling, - management, - computing, - policy formation, - environmental issues, and - telecommunications. The reader will gain much insight into simulation/gaming as a powerful methodology for solving global problems, for understanding global interdependence, and for furthering global understanding.


Rational Interaction: Essays in Honor of John C. Harsanyi

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The unifying theme of the 23 contributions to this book is the social interaction of rational individuals. The work of John C. Harsanyi on game theory, social choice, and the philosophy of science finds an echo in these essays. Contributions by well known game theorists and economists present a great variety of stimulating theoretical investigations. Part I contains six papers on non-cooperative game theory written by Maschler, Owen, Myerson, Peleg, Rosenmüller, Hart and Mas-Collel. Part II with three contributions by Kalei, Samet, van Damme, d'Aspremont, and Gérard-Varet is devoted to the use of non-cooperative game theory in the analysis of problems of mechanism design. Basic questions of non-cooperative game theory are discussed in three essays by Güth, Hardin, and Sugden in Part III. Applied game models are discussed in three papers by Friedman, Selten, and Shubik in Part IV. Problems of social choice are investigated in Part V which deals with utilitarianism and related topics in five contributions by Hammond, Binmore, Arrow, Roemer, and Broome. Finally, Part VI contains three papers: an interdisciplinary comparison of physics and economics by Samuelson, a methodological essay by Brock, and an appraisal of the work of John C. Harsanyi.


Theory of Heuristic Information in Game-Tree Searches (Symbolic Computation. Artificial Intelligence)

Theory of Heuristic Information in Game-Tree Searches (Symbolic Computation. Artificial Intelligence) Lowest new price: $2,420.42
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Author: Chun-Hung Tzeng


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