000			01920 a2200217 4500
003			OSt
005			20230105153941.0
008			230105b xxu||||| |||| 00| 0 eng d
020			_a9781470419820
040			_cIIT Kanpur
041			_aeng
082			_a519.3 _bK146g
100			_aKarlin, Anna R.
245			_aGame theory, alive _cAnna R. Karlin and Yuval Peres
260			_bAmerican Mathematical Society _c2017 _aProvidence
300			_axxvi, 372p
520			_aWe 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.
650			_aGame theory
700			_aPeres, Yuval
942			_cBK
999			_c566227 _d566227