A Weighted Solution Concept under Replicated Behavior

Yu-Hsien Liao
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Yu-Hsien Liao: Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan

Mathematics, 2022, vol. 11, issue 1, 1-12

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.

Keywords: the EANSC; replicated notion; weight (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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