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On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium)
Authors: Sergey E. Bukhtoyarov, Vladimir A. Emelichev
Keywords: finite cooperative game, concept of equilibrium, lexicographically optimal situation, Nash equilibrium situation, stability radius
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Keywords: finite cooperative game, concept of equilibrium, lexicographically optimal situation, Nash equilibrium situation, stability radius
Abstract
A parametric concept of equilibrium (principle of optimality) in a finite cooperative game in normal form of several players is introduced. This concept is defined by means of the partition of players into coalitions. Lexicographically optimal situation and Nash equilibrium situation correspond to two special cases of this partition. The quantitative analysis of stability of an optimal situation for the independent perturbations of players' payoff functions is performed. The maximum level of such perturbations which save the optimality of a situation is found. Mathematics Subject Classification 2000: 90C05, 90C10, 90C29, 90C31Belarusian State University
ave. Fr. Skoriny, 4,
Minsk, 220050, Belarus.
E-mail :
ave. Fr. Skoriny, 4,
Minsk, 220050, Belarus.
E-mail :
Fulltext
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Contents
- Communication Equivalence Classes in Networks
- An algorithm for solving a class of knapsack problems and its generalization
- On stability of an optimal situation in a finite cooperative game with a parametric concept of equilibrium (from lexicographic optimality to Nash equilibrium)
- On stability in game problems of finding Nash set
- The maximum flow in dynamic networks
- The multiobjective transportation fractional programming model
- A New Approach in Agent Path-Finding using State Mark Gradients
- A Case-Based Reasoning for Regulation of an Urban Transportation Network
- Experience of Macroeconomic Models Realization in Transition Economy
- About a family of C2 splines with one free generating function
- The comparative analysis of implementation practices of e-government services
- Electronic Services in Public Administration (e-government); Privacy and Freedom of Information. (review of study made for situation in Moldova)
