Game Theory Explained: A Mathematical Introduction With Optimization
Download this torrent!
Game Theory Explained: A Mathematical Introduction With Optimization
To start this P2P download, you have to install a BitTorrent client like qBittorrent
Category: Other
Total size: 6.60 MB
Added: 2025-03-23 09:56:01
Share ratio:
5 seeders,
4 leechers
Info Hash: E440AA53CAE45D4988268DF07337DCDEA1A32C52
Last updated: 4.3 hours ago
Description:
English | 2025 | ISBN: 9811297215 | 306 Pages | True PDF | 7.24 MB
Part 1 of the book focuses on classical results in games, beginning with an introduction to probability theory by studying casino games and ending with Nash's proof of the existence of mixed strategy equilibria in general sum games. On the way, utility theory, game trees and the minimax theorem are covered with several examples. Part 2 introduces optimization theory and the Karush–Kuhn–Tucker conditions and illustrates how games can be rephrased as optimization problems, thus allowing Nash equilibria to be computed. Part 3 focuses on cooperative games. In this unique presentation, Nash bargaining is recast as a multi-criteria optimization problem and the results from linear programming and duality are revived to prove the classic Bondareva–Shapley theorem. Two appendices covering prerequisite materials are provided, and a "bonus" appendix with an introduction to evolutionary games allows an instructor to swap out some classical material for a modern, self-contained discussion of the replicator dynamics, the author's particular area of study