New Axiomatizations and an Implementation of the Shapley Value
نویسندگان
چکیده
منابع مشابه
Axiomatizations of the proportional Shapley value
We provide new axiomatic characterizations of the proportional Shapley value, a weighted value with the worths of the singletons as weights. This value satisfies anonymity and therefore symmetry just as the Shapley value and has characterizations which are proportional counterparts to the famous characterizations of the Shapley value in Shapley (1953b), Myerson (1980) and Young (1985a). If the ...
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Article history: Received 31 October 2007 Accepted 24 April 2008 Available online 4 May 2008
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Bi-capacities are a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours. After a short presentation of the basis structure, we introduce the Shapley value and the interaction index for capacities. Afterwards, the case of bi-capacities is studied with new axiom...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2007
ISSN: 1556-5068
DOI: 10.2139/ssrn.1047582