000			02696nam a22002897a 4500
999			_c55778 _d55778
005			20191021151347.0
008			191021b ||||| |||| 00| 0 eng d
020			_a9781470454784
082			_a519.3 KAR
100			_aKarlin, Anna R
245			_aGame theory, alive _c/ Anna R Karlin
260			_aProvidence, Rhode Island _b: American Mathematical Society, _c©2017
300			_axxvi, 372 pages _b : illustrations chiefly color _c ; 27 cm
505			_a Part I. Analyzing games : strategies and equilibria. Combinatorial games -- Two-person zero-sum games -- Zero-sum games on graphs -- General-sum games -- Existence of Nash equilibria and fixed points -- Games in extensive form -- Evolutionary and correlated equilibria -- The price of anarchy -- Random-turn games -- Part II. Designing games and mechanisms. Stable matching and allocation -- Fair division -- Cooperative games -- Social choice and voting -- Auctions -- Truthful actions in win/lose settings -- VCG and scoring rules -- Matching markets -- Adaptive decision making -- Appendix A. Linear programming -- Appendix B. Some useful probability tools.
520			_aThis 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, economics, social choice, biology, 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, or statistics."--Back cove
650			_aMathematics
650			_a Probabilities & applied mathematics
650			_aGame theory.
650			_aGame theory, economics, social and behavioral sciences -- Game theory -- Cooperative games.
650			_aGame theory, economics, social and behavioral sciences -- Game theory -- Games involving graphs
650			_aGame theory, economics, social and behavioral sciences -- Mathematical economics -- Market models (auctions, bargaining, bidding, selling,
650			_aMathematisches Spiel
650			_aGame theory, economics, social and behavioral sciences -- Game theory
700			_aKarlin, Anna R.;
700			_aPeres, Yuval
942			_cBOOK