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On Existence of a nash equilibrium point in N ‐person non‐zero sum stochastic jump differential games
Author(s) -
Wernerfelt Birger
Publication year - 1988
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660090408
Subject(s) - nash equilibrium , zero sum game , epsilon equilibrium , mathematical economics , best response , jump , correlated equilibrium , zero (linguistics) , mathematics , differential (mechanical device) , risk dominance , point (geometry) , differential game , game theory , mathematical optimization , repeated game , equilibrium selection , physics , linguistics , philosophy , geometry , quantum mechanics , thermodynamics
Using the technique of Wan and Davis, we give an existence theorem for a Nash equilibrium point in N ‐person non‐zero sum stochastic jump differential games. It is shown that if the Nash condition (generalized Isaacs condition) holds there is a Nash equilibrium point in feedback strategies. We extend the results to other solution concepts and discuss applications and extensions.
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