Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Measure of stability for a finite cooperative game with a generalized concept of equilibrium.
Authors: V.A. Emelichev, E.E. Gurevsky, A.A. Platonov
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Abstract
We consider a finite cooperative game in the normal form with a parametric principle of optimality (the generalized concept of equilibrium). This principle is defined by the partition of the players into coalitions. In this situation, two extreme cases of this partition correspond to the lexicographically optimal situation and the Nash equilibrium situation, respectively. The analysis of stability for a set of generalized equilibrium situations under the perturbations of the coefficients of the linear payoff functions is performed. Upper and lower bounds of the stability radius in the l∞-metric are obtained. We show that the lower bound of the stability radius is accessible.E-mails: , ,
Fulltext
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Contents
- Lie algebras of operators and invariant GL(2, ℜ)-integrals for Darboux type differential systems.
- Measure of stability for a finite cooperative game with a generalized concept of equilibrium.
- Collocation and Quadrature Methods for Solving Singular Integral Equations with Piecewise Continuous Coefficients.
- Criterion of parametrical completeness in the 6-element non-chain extension of Intuitionistic logic of A. Heyting.
- Linear stability bounds in a convection problem for variable gravity field.
- A new method for computing the number of n-quasigroups.
- The GL(2, ℜ)-orbits of polynomial differential systems of degree four.
- A Linear Parametrical Programming Approach for Studying and Solving Bilinear Programming Problem.
- On topological torsion LCA groups with commutative ring of continuous endomorphisms.
- Natural classes and torsion free classes in categories of modules.
- Finite difference schemes for problems of mixture of two component elastic materials.
- Characteristic functions of Markovian random evolutions in ℜm.
- Nearly simple elementary divisor domains.
- Factorization theorems for some spaces of analytic functions.
