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Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
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S. Chebbi
Published/Copyright:
June 9, 2010
Abstract
In this paper, an existence result of quasi-equilibrium problem is proved and used to establish the existence of weighted Nash equilibria for constrained multi-criteria games under a generalized quasi-convexity condition and a coercivity type condition on the payoff functions. As consequence, we prove the existence of Pareto equilibria for constrained multi-criteria games with non-compact strategy sets in topological vector spaces.
Key words and phrases.: Multi-criteria games; weighted Nash equilibria; Pareto equilibria; quasi-equilibrium problem
Received: 2005-11-22
Revised: 2007-10-17
Published Online: 2010-06-09
Published in Print: 2008-December
© Heldermann Verlag
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Keywords for this article
Multi-criteria games;
weighted Nash equilibria;
Pareto equilibria;
quasi-equilibrium problem
Articles in the same Issue
- Functions Preserving Some Types of Series
- On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems
- Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
- Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
- Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
- Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
- Uniform Algebras in the Cantor and Baire Spaces
- Bounded Controllers for Uncertain Nonlinear Systems
- On a Refinement Type Equation
- Differential Polynomials Generated by Second Order Linear Differential Equations
- Existence Results of l-Point BVP for Higher Order Differential Equations with One-Dimension p-Laplacian
- Erratum to the Paper “Sufficiency and Duality in Control Problems with Generalized Invexity”
