Shapley mappings and the cumulative value for n-person games with fuzzy coalitions

Journal Article

Butnariu D., Kroupa Tomáš

serial: European Journal of Operational Research vol.186, 1 (2008), p. 288-299

research: CEZ:AV0Z10750506

project(s): 1M0572GA MŠk

keywords: coalition, fuzzy coalition, Shapley value

abstract (eng):

We prove existence and uniqueness of the so-called Shapley mapping, which is a solution concept for a class of n-person games with fuzzy coalitions whose elements are defined by the specific structure of their characteristic functions. The Shapley mapping associates to each fuzzy coalition in the game an allocation of the coalitional worth satisfying the efficiency, the symmetry, and the null-player conditions. It determines a cumulative value that is the sum of all coalitional allocations for whose computation we provide an explicit formula.

abstract (cze):

V práci je dokázana existence řešení a jeho jednoznačnost v podobě Shapleyho hodnoty pro jistou třídu her s fuzzy koalicemi.

RIV: BA