Game theory / Leon A. Petrosjan, Nikolay A. Zenkevich
Digitised Book 3.14.83.200 (0)
1996
Information About
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. There is no single game theory which could address a wide range of "games". At the same time there are common optimality principles applicable to all classes of games, but the methods of effective computation of solutions are very different. This book offers to explain the basic principles in game theory, and bring the reader to the ability to solve problems.
Additional Details
- Creators
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- Petrosjan, L. A. (Leon Aganesovich)
- Subject
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- Game theory
- Publisher
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- World Scientific, 1996
- National Library Board Singapore, 1996
- Contributors
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- Zenkevich, N. A. (Nikolaĭ Anatol'evich)
- Digital Description
- application/pdf, ill.
- Table of Contents
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- 1. Matrix games. 1.1 Definition of a two-person zero-sum game in normal form. 1.2 Maximin and minimax strategies... -- 2. Infinite zero-sum two-person games. 2.1 Infinite games. 2.2 e-saddle points, e-optimal strategies... -- 3. Nonzero-sum games. 3.1 Definition of noncooperative game in normal form. 3.2 Optimality principles in noncooperative games... -- 4. Positional games. 4.1 Multistage games with perfect information. 4.2 Absolute equilibrium (subgame-perfect)... -- 5. Differential games. 5.1 Differential zero-sum games with prescribed duration. 5.2 Multistage perfect-information games with an infinite number of alternatives... -- Bibliography -- Index.
- Copyright
- All Rights Reserved. National Library Board Singapore 2009.