Consistency Properties of the Nontransferable Cooperative Game Solutions
We consider solutions of NTU cooperative games defined with help of an excess function — the ε-core, the prenucleolus, the prekernel. It is shown that both the prenucleolus and the prekernel don’t possess the reduced game property and the converse reduced game property for all excess functions satisfying the Kalai’s (Kalai (1978)) conditions. The ε-core may possess these properties or not in dependence on excess functions. Axiomatic characterizations of the ε-core for arbitrary fixed ε and of the collection of ε-cores for all ε and for a particular excess function are given.
KeywordsCooperative Game Payoff Vector Excess Function Axiomatic Characterization Game Property
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