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Bidding against a Buyout: Implementing the Shapley value and the equal surplus value

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  • Sun, Chaoran

Abstract

We introduce two mechanisms that implement the Shapley value and the equal surplus value, respectively. The main feature of both mechanisms is that multiple proposers put forth allocation plans simultaneously. The implementation of a plan requires both consensus among proposers and acceptance of respondents. In case of disagreement among proposers, we use the bidding procedure introduced by Pérez-Castrillo and Wettstein (2001), which facilitates a buyout of one proposer in each round. Then the difference between two values comes down to how proposers negotiate with respondents.

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  • Sun, Chaoran, 2022. "Bidding against a Buyout: Implementing the Shapley value and the equal surplus value," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    • Handle: RePEc:eee:mateco:v:101:y:2022:i:c:s0304406822000416
    DOI: 10.1016/j.jmateco.2022.102686
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    1. Pongou, Roland & Tondji, Jean-Baptiste, 2024. "The reciprocity set," Journal of Mathematical Economics, Elsevier, vol. 112(C).

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