000 a
999 _c33612
_d33612
008 250316b xxu||||| |||| 00| 0 eng d
020 _a9781470475635
082 _a519.3
_bGON
100 _aGonzalez-Diaz, Julio
245 _aAn introductory course on mathematical game theory and applications
250 _a2nd ed.
260 _bAmerican Mathematical Society,
_c2023
_aProvidence :
300 _axiv, 415 p.;
_c25 cm
_bill.,
365 _b89.00
_c$
_d90.60
490 _aGraduate studies in mathematics,
_v1065-7339 ; v.238
504 _aIncludes bibliographical references and index.
520 _aGame theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as psychology, computer science, artificial intelligence, biology, and political science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises
650 _aGame theory
650 _aBayesian game
650 _aCorrelated equilibrium
650 _aMatrix game
650 _aNash equilibrium
650 _aShapley value
650 _aStrategy profiles
650 _aSubgame perfect equilibrium
700 _aGarcia-Jurado, Ignacio
700 _aFiestras-Janeiro, M. Gloria
942 _2ddc
_cBK