Non-Antagonistic Games

Name: Non-Antagonistic Games
Author: Yu.B. Germeier

Paperback Engels 2011 1986e druk 9789401088763

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The reality around us constantly demonstrates physical and social processes in which the interests of the participants are not diametrically opposed, though they by no means always coincide. The study of such processes (interesting in itw own right) is essential for working out ways of making decisions, that is, for choosing among available parameters of the processes. If, in view of certain considerations, a participant i h 1 f 0 h' . b c ooses a va ue Xi 0 a parameter Xi' ~s act~on can e formally described as an attempt to maximize the function f. = -llx. - x~ll. For this reason any decision on the part of ~ ~ ~ the i-th participant in the process can be treated (at least a posteriori) as agoal-directed act, aimed at increasing the value of some function w. (a criterion of efficiency, a payoff, a gain, etc.), wfiich generally depends on the choices of all n participants in the process. That is w = f. (x ' ..• ,x ), i = 1, 2, ..• ,n. 1 i ~ n A process described in this manner, involving several participants, each pursuing different interests and constrained in his choices of parameters by the condition X E x. is called a game - a term firmly entrenched though evide~tly not felicitous.

Specificaties

ISBN13:9789401088763

Taal:Engels

Bindwijze:paperback

Aantal pagina's:376

Uitgever:Springer Netherlands

Druk:1986

Hoofdrubriek:Mens en maatschappij, Mens en maatschappij

Serie:Theory and Decision Library

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Inhoudsopgave

I / A General Description of Models with Non-Coincident Interests.- 1. Typical Examples of Games with Non-opposed Interests.- 2. General Description of Noncooperative Games Taking into Account Mutual Information of Co-players About Their Interests.- 3. Situations, Strategies, and Players? Knowledge About Each Other?s Moves.- 4. On the Problem of Rational Choice of Strategy.- 5. Exchange of Information and Extension of the Strategy Concept.- 6. Formal Description of Compromises and Coalitions.- II / Some Principles Involved in Choosing Rational Strategies.- 7. Optimization and Averaging.- 8. The Maximin.- 9. Absolutely Optimal Strategies and Penalizing Strategies.- 10. The Best-Guaranteed Payoff Under Exchange of Information and Fixed Order of Moves.- 11. Equilibria.- 12. Advantages and Disadvantages of Coalitions.- 13. Stability of Coalitional Decisions in Repetitive Games.- III / The Guaranteed Payoff Principle in Two-Person Games.- 14. Qualitative Games.- 15. Games with Excluded Situations.- 16. Games with Fixed Order of Moves Without Excluded Situations.- 17. Exact Information About the Co-player?s Choice: Inexact Information About His Interests.- 18. Player 1 Ignorant of Player 2?s Move.- 19. The Problem of the Maximal Guaranteed Payoff and Approximation of Games.- 20. Other Cases Involving State of Knowledge Metagames.- 21. Games with Auxiliary Performance Functions.- 22. Dynamics of Two-person Games.- 23. Remarks.- IV / Some Game Models for Multiple Players.- 24. On the Theory of Three-person Games.- 25. Equilibria and Stable Collective Decisions in Repeated Games.- 26. Side Payments as Means of Control in Hierarchical Systems.