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Game Theory, Alive

Inbunden, Engelska, 2017

903 kr

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Beskrivning

We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities.This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments.The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, engineering, or statistics. The importance of game-theoretic thinking transcends the academic setting-for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

Produktinformation

Utgivningsdatum:2017-05-30
Mått:178 x 254 x undefined mm
Vikt:860 g
Format:Inbunden
Språk:Engelska
Antal sidor:372
Förlag:American Mathematical Society
ISBN:9781470419820

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Mer om författaren

Anna R. Karlin, University of Washington, Seattle, WA.Yuval Peres, Microsoft Research, Redmond, WA.

Recensioner i media

Game theory's influence is felt in a wide range of disciplines, and the authors deliver masterfully on the challenge of presenting both the breadth and coherence of its underlying world-view. The book achieves a remarkable synthesis, introducing the reader to the blend of economic insight, mathematical elegance, scientific impact, and counter-intuitive punch that characterizes game theory as a field." — Jon Kleinberg, Cornell University, 2006 Nevanlinna Prize winner"A game theory textbook by people who love ... games! It covers many classic as well as recent topics of game theory. Its rigorous treatment, interspersed with illuminating examples, makes it a challenging pleasure to read." — Sergiu Hart, The Hebrew University of Jerusalem

Innehållsförteckning

Analyzing games: Strategies and equilibria: Combinatorial gamesTwo-person zero-sum gamesZero-sum games on graphsGeneral-sum gamesExistence of Nash equilibria and fixed pointsGames in existensive formEvolutionary and correlated equilibriaThe price of anarchyRandom-turn gamesDesigning games and mechanisms: Stable matching and allocationFair divisionCooperative gamesSocial choice and votingAuctionsTruthful auction in win/lose settingsVCG and scoring rulesMatching marketsAdaptive decision makingLinear programmingSome useful probability tooldsConvex functionsSolution sketches for selected exercisesBibliographyIndex