Institute of Information Theory and Automation

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Shepley's and Partially-Shapley's Axiomatics with Restricted Symmetry

2014-10-20 14:00
According to a Shapley's game-theoretical result, there exists a unique game-value of cooperative games that satisfy axioms on additivity, efficiency, null-player property and symmetry. The original setting requires the symmetry with respect to arbitrary permutations of the players. If we weaken the symmetry axiom to a symmetry with respect to a subgroup G of the permutation group S_n, the uniqueness of the game-value is satisfied if and only if the group G satisfies a special following "supertransitivity" property. Moreover, for an arbitrary hypergraph H, the Shapley's value is a unique G-symmetric quasivalue of a linear subspace. For more information see the attached PDF invitation.
PDF icon KubenaSeminar.pdf50.04 KB
2014-10-21 15:13