集值群体博弈 Nash 均衡与合作均衡的广义适定性

Abstract

Abstract:

By using a class of nonlinear scalarization functions, we construct the bounded rationality functions of Nash equilibrium and cooperation equilibrium of population games with set payoffs, respectively. Then, we show the lower semicontinuity of the bounded rationality functions and the equivalence relations between their level sets of zero and game equilibrium sets. Finally, employing the acquired properties of the bounded rationality functions, we prove the generalized well-posedness of Nash equilibrium and cooperative equilibrium for set payoffs population games.

Key words: Nash equilibrium, cooperative equilibrium, set payoff, population games, generalized well-posedness

CLC Number:

O225

Ge Chen, Chen Zhuozheng, Zhang Yu. Generalized Well-Posedness of Nash Equilibrium and Cooperative Equilibrium for Population Games with Set Payoffs[J].Acta mathematica scientia,Series A, 2025, 45(4): 1217-1228.

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References 32

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Generalized Well-Posedness of Nash Equilibrium and Cooperative Equilibrium for Population Games with Set Payoffs

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