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The allocation of marginal surplus for cooperative games with transferable utility

Wenzhong Li (), Genjiu Xu (), Rong Zou () and Dongshuang Hou ()
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Wenzhong Li: Northwestern Polytechnical University
Genjiu Xu: Northwestern Polytechnical University
Rong Zou: Northwestern Polytechnical University
Dongshuang Hou: Northwestern Polytechnical University

International Journal of Game Theory, 2022, vol. 51, issue 2, No 4, 353-377

Abstract: Abstract Marginal contribution is a significant index to measure every player’s ability to cooperate in cooperative games. Several solutions for cooperative games are defined in terms of marginal contribution, including the Shapley value and the Solidarity value. In this paper, we introduce marginal surplus as an alternative index to describe the contribution level of every player. We define a new solution for cooperative games, namely the average-surplus value, which is determined by an underlying procedure of sharing marginal surplus. Then we characterize the average-surplus value by introducing the A-null surplus player property and the revised balanced contributions property. We also propose the AS-potential function to implement the average-surplus value. Finally, we provide a non-cooperative game, the outcome of which coincides with the average-surplus value in subgame perfect equilibria.

Keywords: Cooperative games; The average-surplus value; Axiomatization; Potential function; Bidding mechanism (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00182-021-00795-9

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