A Course in Stochastic Game Theory

A Course in Stochastic Game Theory

Author: Eilon Solan

Publisher: Cambridge University Press

Published: 2022-05-26

Total Pages: 280

ISBN-13: 1009034340

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Stochastic games have an element of chance: the state of the next round is determined probabilistically depending upon players' actions and the current state. Successful players need to balance the need for short-term payoffs while ensuring future opportunities remain high. The various techniques needed to analyze these often highly non-trivial games are a showcase of attractive mathematics, including methods from probability, differential equations, algebra, and combinatorics. This book presents a course on the theory of stochastic games going from the basics through to topics of modern research, focusing on conceptual clarity over complete generality. Each of its chapters introduces a new mathematical tool – including contracting mappings, semi-algebraic sets, infinite orbits, and Ramsey's theorem, among others – before discussing the game-theoretic results they can be used to obtain. The author assumes no more than a basic undergraduate curriculum and illustrates the theory with numerous examples and exercises, with solutions available online.


IBSS: Economics: 2002 Vol.51

IBSS: Economics: 2002 Vol.51

Author: Compiled by the British Library of Political and Economic Science

Publisher: Routledge

Published: 2013-05-13

Total Pages: 675

ISBN-13: 1134340036

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First published in 1952, the International Bibliography of the Social Sciences (anthropology, economics, political science, and sociology) is well established as a major bibliographic reference for students, researchers and librarians in the social sciences worldwide. Key features * Authority: Rigorous standards are applied to make the IBSS the most authoritative selective bibliography ever produced. Articles and books are selected on merit by some of the world's most expert librarians and academics. *Breadth: today the IBSS covers over 2000 journals - more than any other comparable resource. The latest monograph publications are also included. *International Coverage: the IBSS reviews scholarship published in over 30 languages, including publications from Eastern Europe and the developing world. *User friendly organization: all non-English titles are word sections. Extensive author, subject and place name indexes are provided in both English and French. Place your standing order now for the 2003 volumes of the the IBSS Anthropology: 2002 Vol.48 December 2003: 234x156: Hb: 0-415-32634-6: £195.00 Economics: 2002 Vol.51 December 2003: 234x156: Hb: 0-415-32635-4: £195.00 Political Science: 2002 Vol.51 December 2003: 234x156: Hb: 0-415-32636-2: £195.00 Sociology: 2002 Vol.52 December 2003: 234x156: Hb: 0-415-32637-0: £195.00


Repeated Games

Repeated Games

Author: Jean-François Mertens

Publisher: Cambridge University Press

Published: 2015-02-02

Total Pages: 597

ISBN-13: 1316060985

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Three leading experts have produced a landmark work based on a set of working papers published by the Center for Operations Research and Econometrics (CORE) at the Université Catholique de Louvain in 1994 under the title 'Repeated Games', which holds almost mythic status among game theorists. Jean-François Mertens, Sylvain Sorin and Shmuel Zamir have significantly elevated the clarity and depth of presentation with many results presented at a level of generality that goes far beyond the original papers - many written by the authors themselves. Numerous results are new, and many classic results and examples are not to be found elsewhere. Most remain state of the art in the literature. This book is full of challenging and important problems that are set up as exercises, with detailed hints provided for their solutions. A new bibliography traces the development of the core concepts up to the present day.


International Bibliography of Economics

International Bibliography of Economics

Author: Compiled by the British Library of Political and Economic Science

Publisher: Psychology Press

Published: 2003

Total Pages: 676

ISBN-13: 0415326354

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IBSS is the essential tool for librarians, university departments, research institutions and any public or private institution whose work requires access to up-to-date and comprehensive knowledge of the social sciences.


Essentials of Game Theory

Essentials of Game Theory

Author: Kevin Gebser

Publisher: Springer Nature

Published: 2022-05-31

Total Pages: 88

ISBN-13: 3031015452

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Game theory is the mathematical study of interaction among independent, self-interested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them.


Multiagent Systems

Multiagent Systems

Author: Yoav Shoham

Publisher: Cambridge University Press

Published: 2008-12-15

Total Pages: 505

ISBN-13: 113947524X

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Multiagent systems combine multiple autonomous entities, each having diverging interests or different information. This overview of the field offers a computer science perspective, but also draws on ideas from game theory, economics, operations research, logic, philosophy and linguistics. It will serve as a reference for researchers in each of these fields, and be used as a text for advanced undergraduate or graduate courses. The authors emphasize foundations to create a broad and rigorous treatment of their subject, with thorough presentations of distributed problem solving, game theory, multiagent communication and learning, social choice, mechanism design, auctions, cooperative game theory, and modal logics of knowledge and belief. For each topic, basic concepts are introduced, examples are given, proofs of key results are offered, and algorithmic considerations are examined. An appendix covers background material in probability theory, classical logic, Markov decision processes and mathematical programming.


Advances in Dynamic Games and Applications

Advances in Dynamic Games and Applications

Author: Tamer Başar

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 423

ISBN-13: 1461202450

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Recent years have witnessed a surge of activity in the field of dynamic both theory and applications. Theoretical as well as practical games, in problems in zero-sum and nonzero-sum games, continuous time differential and discrete time multistage games, and deterministic and stochastic games games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of the International Society of Dynamic Games (see the Preface to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal.


Handbook of Game Theory with Economic Applications

Handbook of Game Theory with Economic Applications

Author: R.J. Aumann

Publisher: North Holland

Published: 1992

Total Pages: 900

ISBN-13:

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The third volume of the 'Handbook of Game Theory' explores: strategic (Nash) equilibrium, incomplete information, bargaining, inspection, economic history, stochastic games and game theory as applied to industrial organisation.