Vol. 18(2017) No. 1

 

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  New results on the existence of the generalized Pareto equilibrium
 
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Fixed Point Theory, Volume 18, No. 1, 2017, 351-360, March 1st, 2017

DOI: 10.24193/fpt-ro.2017.1.27

Authors: Monica Patriche

Abstract: In this paper, we state a new fixed point theorem for correspondences defined on Hausdorff locally convex spaces and we use it to prove the existence of the generalized weighted Nash equilibrium and the generalized Pareto equilibrium of a constrained multi-criteria game.

Key Words and Phrases: fixed point theorem, generalized weighted Nash equilibrium, generalized Pareto equilibrium, generalized multiobjective game.

2010 Mathematics Subject Classification: 47H10, 91A47, 91A80.

Published on-line: March 1st, 2017.

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