Axiomatizations and a noncooperative interpretation of the {\(\alpha\)}-CIS value. (English) Zbl 1330.90050
Summary: In economic allocation problems, egalitarianism and marginalism are two major thoughts to distribute the benefits of cooperation. The \(\alpha\)-CIS value reconciles the two thoughts in some variable extent by a parameter \(\alpha \in [0, 1]\). The {\(\alpha\)}-CIS value is the center of gravity of the corresponding {\(\alpha\)}-imputation set given the {\(\alpha\)}-imputation set is nonempty. From the cooperative perspective, we present several axiomatizations of the {\(\alpha\)}-CIS value using {\(\alpha\)}-individual rationality or {\(\alpha\)}-dummifying player property. Finally, we provide a noncooperative interpretation of the {\(\alpha\)}-CIS value by a bidding mechanism.
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