A Minimal Test for Convex Games and the Shapley Value
A set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.
|Date of creation:||01 Feb 2001|
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Other publications TiSEM
619397b2-51b9-42db-916c-9, Tilburg University, School of Economics and Management.
- Judith Timmer & Peter Borm & Stef Tijs, 2004. "On three Shapley-like solutions for cooperative games with random payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 595-613, 08.
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