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A Weighted Solution Concept under Replicated Behavior

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  • Yu-Hsien Liao

    (Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan)

Abstract

In the framework of traditional transferable-utility (TU) models, the participants are either entirely involved or not involved in interactive processes with some other participants. Based on the distribution notion of the equal allocation of non-separable costs (EANSC), all participants first receive their marginal contributions and further distribute the remaining utilities equally. In real-world situations, however, participants might adopt different participation levels to participate. Moreover, participants might represent coalitions of different scales; participants might have corresponding influences under different situations. Thus, in this paper we propose a generalization of the EANSC by considering weights and replicated notions under conditions of multi-choice behavior simultaneously. In order to dissect the mathematical accuracy and the applied rationality of this expanded EANSC, a specific reduction is introduced to present an axiomatic result and a dynamic process, respectively.

Suggested Citation

  • Yu-Hsien Liao, 2022. "A Weighted Solution Concept under Replicated Behavior," Mathematics, MDPI, vol. 11(1), pages 1-12, December.
  • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:150-:d:1017879
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    References listed on IDEAS

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