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Titlebook: Mathematical Foundations of Game Theory; Rida Laraki,Jér?me Renault,Sylvain Sorin Textbook 2019 Springer Nature Switzerland AG 2019 zero-s

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發(fā)表于 2025-3-21 17:06:28 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematical Foundations of Game Theory
編輯Rida Laraki,Jér?me Renault,Sylvain Sorin
視頻videohttp://file.papertrans.cn/627/626153/626153.mp4
概述Provides a self-contained presentation of the mathematical foundations of Game Theory including recent advances in dynamics and learning.All results are proved in their full generality using tools and
叢書名稱Universitext
圖書封面Titlebook: Mathematical Foundations of Game Theory;  Rida Laraki,Jér?me Renault,Sylvain Sorin Textbook 2019 Springer Nature Switzerland AG 2019 zero-s
描述.This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text..Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text..Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.??.
出版日期Textbook 2019
關(guān)鍵詞zero-sum games; minmax theorem; Nash equilibrium; rationalizability; normal form games; extensive form ga
版次1
doihttps://doi.org/10.1007/978-3-030-26646-2
isbn_softcover978-3-030-26645-5
isbn_ebook978-3-030-26646-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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Zero-Sum Games: The General Case,tions on the game: convex compact strategy sets and payoff functions quasi-concave upper semi-continuous in the first variable and quasi-convex lower semi-continuous in the second variable. Then we prove the standard minmax theorem in mixed strategies for measurable bounded payoff functions, extendi
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Correlated Equilibria, Learning, Bayesian Equilibria,tegic, geometric and dynamics viewpoint. In a learning framework, we then introduce no-regret procedures and calibrated strategies, and prove existence results. Next we show that in a repeated game: (1) if a player follows a strategy with no external regret, the empirical distribution of moves conve
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Solutions to the Exercises,s’ lemma, duality in linear programming, duels, Cournot competition, supermodular games and Tarski’s fixed point theorem, convex games, potential games, dissipative games, fictitious play and the Shapley triangle, the game of Chomp, a poker game, bargaining, a double auction, the possibly negative v
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l colleagues lies in the preparation. This should encompass both a careful review of the clinical notes and investigations, and reflection in advance of the autopsy of the possible pathological processes, their aetiology and pathogenesis. The aim of this chapter is to facilitate the preparation for
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Rida Laraki,Jér?me Renault,Sylvain Sorinrecent years. For those in the neuroscience disciplines, the ever increasing amount of information one needs to assimilate and master can be challenging and even at times daunting. As with the first edition, this second edition of Neuropathology Review summarizes, in outline form, the essentials of
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