Group contributions in TU-games: A class of k-lateral Shapley values

Surajit Borkotokey (), Dhrubajit Choudhury, Loyimee Gogoi and Rajnish Kumar

European Journal of Operational Research, 2020, vol. 286, issue 2, 637-648

Abstract: In this paper we introduce the notion of group contributions in TU-games and propose a new class of values which we call the class of k-lateral Shapley values. Most of the values for TU-games implicitly assume that players are independent in deciding to leave or join a coalition. However, in many real life situations players are bound by the decisions taken by their peers. This leads to the idea of group contributions where we consider the marginality of groups upto a certain size. We show that group contributions can play an important role in determining players’ shares in the total resource they generate. The proposed value has the flavor of egalitarianism within group contributions. We provide two characterizations of our values.

Keywords: Game theory; TU cooperative game; The Shapley value; Group contributions; The k-lateral Shapley values, (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:286:y:2020:i:2:p:637-648

DOI: 10.1016/j.ejor.2020.03.054

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