Some Properties of Multi-choice Shapley Value

碩士 === 東吳大學 === 數學系 === 87 === Abstract. We study the definition of potential for multi-choice cooperative games, and the relationship between the potential and the multi-choice Shapley value. We show that the multi-choice Shapley value is consistnet. Moreover, using above defi...

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Bibliographic Details
Main Authors: Y.-H.LIAO, 廖于賢
Other Authors: C.-R.Hsiao
Format: Others
Language:en_US
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/54227971835199222188
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Summary:碩士 === 東吳大學 === 數學系 === 87 === Abstract. We study the definition of potential for multi-choice cooperative games, and the relationship between the potential and the multi-choice Shapley value. We show that the multi-choice Shapley value is consistnet. Moreover, using above definitions and properties, we find the `` standard for two-person games ". We also show that if a solution satisfies consistency and standard for two-person games, then the solution is the multi-choice Shapley value.