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Operations Research Transactions >

2024 , Vol. 28 >Issue 3: 153 - 164

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2024.03.011

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

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  • 1. School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan 030031, Shanxi, China

Received date: 2024-04-05

  Online published: 2024-09-07

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, 2024, All rights reserved, without authorization
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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

Cite this article

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

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