An Ordinal Shapley Value for Economic Environments1
نویسندگان
چکیده
We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is defined recursively, incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for Transferable Utility (TU) games. We show a solution exists, and call it an Ordinal Shapley value (OSV ). We characterize the OSV using the notion of coalitional dividends, and furthermore show it is monotone and anonymous. Finally, similarly to the weighted Shapley value for TU games, we construct a weighted OSV as well. JEL Classification numbers: C72, D50, D63.
منابع مشابه
An Ordinal Shapley Value for Economic Envirnments
We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is defined recursively, incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for Transferable Utility (TU) games. We show a solution exists, and call it an O...
متن کاملAn ordinal Shapley value for economic environments
We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The sharing problem is formulated in the preferences-endowments space. The solution is defined in a recursive manner incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for Transferable Utility (TU) games. We show a solution exists,...
متن کاملAn Ordinal Shapley Value for Economic Environments (Revised Version)1
We propose a new solution concept to address the problem of sharing a surplus among the agents generating it. The problem is formulated in the preferences-endowments space. The solution is defined recursively, incorporating notions of consistency and fairness and relying on properties satisfied by the Shapley value for Transferable Utility (TU) games. We show a solution exists, and call it the ...
متن کاملObtaining a possible allocation in the bankruptcy model using the Shapley value
Data envelopment analysis (DEA) is an effective tool for supporting decision-makers to assess bankruptcy, uncertainty concepts including intervals, and game theory. The bankruptcy problem with the qualitative parameters is an economic problem under uncertainty. Accordingly, we combine the concepts of the DEA game theory and uncertain models as interval linear programming (ILP), which can be app...
متن کاملImplementation of the Ordinal Shapley Value for a three-agent economy1
We propose a simple mechanism that implements the Ordinal Shapley Value (PérezCastrillo and Wettstein [2005]) for economies with three or less agents. JEL Classification numbers: C72, D50, D63.
متن کامل