Game TheoryWorld Scientific, 1996 - 352 páginas Game theory is a branch of modern applied mathematics that aims to analyze various problems of conflict between parties that have opposed, similar or simply different interests.Games are grouped into several classes according to some important features. In this volume zero-sum two-person games, strategic n-person games in normal form, cooperative games, games in extensive form with complete and incomplete information, differential pursuit games and differential cooperative n-person games are considered. |
Índice
Matrix games | 1 |
Infinite zerosum twoperson games | 49 |
Nonzerosum games | 125 |
Positional games | 199 |
Differential games | 267 |
| 345 | |
| 351 | |
Otras ediciones - Ver todo
Game Theory Leon Aganesovich Petrosi?a?n,Nikola? Anatol?evich Zenkevich Vista previa restringida - 2016 |
Términos y frases comunes
arbitrary B₁ behavior strategy bimatrix called characteristic function choice compact sets completely mixed completes the proof conditionally optimal trajectory Consider construct convex cooperative game core corresponding defined Definition Denote differential game dominated dynamic stable equal equation Example exists finite following inequality holds game of pursuit games with perfect graph hence imputation information sets instant interval joint mixed strategies K(xo Lemma M₁ matrix game maximin maximizes mixed extension mixed strategies multistage game Nash equilibrium NM-solution node nonempty normal form obtain optimal mixed strategy optimal strategy optimality principle pair Pareto optimal payoff matrix payoff to Player payoff vector Player 1's position problem prove pure strategies respectively S₁ saddle point satisfied Shapley value Show situation solution strategies x strategy for Player strategy sets subgame subset T-to T₁ Theorem u₁ unique V(xo v₁ X₁ y₁ zero-sum game
Referencias a este libro
Controlled Markov Processes and Viscosity Solutions Wendell H. Fleming,Halil Mete Soner No hay ninguna vista previa disponible - 2006 |