Abstract
We extend the reduced games introduced by Davis and Maschler (Naval Res Log Q 12:223–259, 1965) and Moulin (J Econ Theory 36:120–148, 1985) to multi-choice non-transferable utility games and define two related properties of consistency. We also show that the core proposed by Hwang and Li (Math Methods Oper Res 61:33–40, 2005) violates these two consistency properties. In order to investigate how seriously it violates these two consistency properties, we provide consistent extensions and consistent subsolutions of the core.
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The author is grateful to the editor, the area editor and the anonymous referees for very helpful suggestions and comments.
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Liao, YH. Consistent extensions and subsolutions of the core of multi-choice NTU games. 4OR-Q J Oper Res 8, 71–85 (2010). https://doi.org/10.1007/s10288-009-0099-7
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DOI: https://doi.org/10.1007/s10288-009-0099-7