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The Coalitional Rationality of the Shapley Value

✍ Scribed by Yasumitsu Izawa; Wataru Takahashi


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
90 KB
Volume
220
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


We establish a necessary and sufficient condition under which the Shapley value of an n-person game lies in the core.


πŸ“œ SIMILAR VOLUMES


Alternative forms of the Shapley value a
✍ Dan S. Felsenthal; MoshΓ© Machover πŸ“‚ Article πŸ“… 1996 πŸ› Springer US 🌐 English βš– 217 KB

We prove the validity of an alternative representation of the Shapley-Shubik (1954) index of voting power, based on the following model. Voting in an assembly consisting of n voters is conducted by roll-call. Every voter is assumed to vote "yea" or "nay" with equal probability, and all n! possible o