不连续向量支付博弈α-核的存在性与稳定性

doi:10.15960/j.cnki.issn.1007-6093.2024.03.011

Abstract

Abstract:

This studies the existence and stability of α-core of games with discontinuous vector payoffs. By proposing the conditions of minimum values of games with vector payoffs and coalitional C-security, this gives two kinds of sufficient conditions to guarantee the existence of α-core of games with discontinuous vector payoffs. Furthermore, by using the lemma for generalized Hadmard well-posedness, the well-posedness of α-core is proven for a kind of game with discontinuous vector payoffs.

Key words: games, vector payoffs, continuity, α-core, hybrid solutions, well-posedness

CLC Number:

O225
O177.91

Qiqing SONG, Xinyi CHI, Gaoyu WU, Minglu SUN. The existence and stability of α-core for discontinuous vector payoff games[J]. Operations Research Transactions, 2024, 28(3): 153-164.

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The existence and stability of α-core for discontinuous vector payoff games

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