𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the coincidence of the prenucleolus and the Shapley value

✍ Scribed by Anirban Kar; Manipushpak Mitra; Suresh Mutuswami


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
551 KB
Volume
57
Category
Article
ISSN
0165-4896

No coin nor oath required. For personal study only.


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

The Coalitional Rationality of the Shapl
✍ Yasumitsu Izawa; Wataru Takahashi πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 90 KB

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

Axioms for the Shapley value on convex g
✍ J.M. Bilbao πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 481 KB

The purpose of this article is an extension of Shapley's value for games with restricted cooperation. The classical model of cooperative game where every subset of players is a feasible coalition may be unrealistic. The feasible coalitions in our model will be the convex sets, i.e., those subsets of