Reduced two-bound core games
This paper studies Davis–Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties, we axiomatically characterize the core, the nucleolus, and...
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| Veröffentlicht in: | Mathematical methods of operations research (Heidelberg, Germany) Germany), 2022-12, Vol.96 (3), p.447-457 |
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| container_title | Mathematical methods of operations research (Heidelberg, Germany) |
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| creator | Gong, Doudou Dietzenbacher, Bas Peters, Hans |
| description | This paper studies Davis–Maschler reduced games of two-bound core games and shows that all these reduced games with respect to core elements are two-bound core games with the same pair of bounds. Based on associated reduced game properties, we axiomatically characterize the core, the nucleolus, and the egalitarian core for two-bound core games. Moreover, we show that the egalitarian core for two-bound core games is single-valued and we provide an explicit expression. |
| doi_str_mv | 10.1007/s00186-022-00800-1 |
| format | Article |
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| subjects | Business and Management Calculus of Variations and Optimal Control Optimization Egalitarianism Games Mathematics Mathematics and Statistics Operations research Operations Research/Decision Theory Original Article |
| title | Reduced two-bound core games |
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