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On stability of Nash equilibrium situations and Pareto optimal situations in finite games
Authors: V.A. Emelichev, S.E. Bukhtoyarov
Keywords: Non-cooperative finite game, Nash equilibrium situation, Pareto and Smale optimal situations, efficient situations, situation stability, situation stability radius.
– 0.13 Mb
Keywords: Non-cooperative finite game, Nash equilibrium situation, Pareto and Smale optimal situations, efficient situations, situation stability, situation stability radius.
Abstract
A non-cooperative finite game of several persons is considered in the case, where payoff functions are linear. Extreme levels of independent perturbations of payoff functions parameters, which remain Nash and Pareto optimality of a situation, are specified. Necessary and sufficient conditions of such stability are stated. AMS Mathematics Subject Classification : 90C27, 90C29.V.A.Emelichev, S.E.Bukhtoyarov,
Belorussion State University,
ave. F. Skoriny, 4, Minsk, 220050, Belarus
E-mail:
Belorussion State University,
ave. F. Skoriny, 4, Minsk, 220050, Belarus
E-mail:
Fulltext
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Contents
- The splitting method and Poincare's theorem: (II) - matrix, polynomial and language
- On stability of Nash equilibrium situations and Pareto optimal situations in finite games
- Linear-time algorithm for the edge-colorability of a graph with prescribed vertex types
- Supermodular Programming on Lattices
- Fast software-oriented hash function based on data-dependent lookup operations
- About some problems related to collective expertise
- Yurii Nikolaevich Pechersky (a tribute in his memory)
- The jubilee of IM&CS
