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Könyv Game Theory Explained: A Mathematical Introduction with Optimization GRIFFIN CHRISTOPHER

Game Theory Explained: A Mathematical Introduction with Optimization

Szerző: GRIFFIN CHRISTOPHER
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: World Scientific Publishing Company
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
18 990 Ft
This book provides an introduction to the mathematical theory of games using both classical methods...

Információk a könyvről

Szerző
GRIFFIN CHRISTOPHER
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2025
oldal
270
EAN
9789819812875
ISBN
9819812879
Enbook ID
48134199
Kiadó
World Scientific Publishing Company
Súly
412

Teljes leírás

This book provides an introduction to the mathematical theory of games using both classical methods and optimization theory. Employing a theorem-proof-example approach, the book emphasizes not only results in game theory, but also how to prove them.

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.

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