On Balanced Host Games: A Sufficient Condition for Non-Emptiness of the Core

Yan-An Hwang, Yu-Hsien Liao () and Bo-Yao Wang
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Yan-An Hwang: Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan
Yu-Hsien Liao: Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan
Bo-Yao Wang: Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan

Mathematics, 2022, vol. 10, issue 20, 1-10

Abstract: Non-transferable utility (NTU) games arise from many economic situations. A classic example is the exchange economy. By pooling and redistributing their initial endowments, coalitions can achieve certain distributions of gains (utilities) that make up the coalition’s feasible set. This paper studies a new class of NTU games called host games. A host game is an agent-parametrized family of NTU games, and an NTU game is associated with any agent (called the host in that case). We provide an adequate presumption for the existence of an allocation that is part of the host game’s core.

Keywords: NTU games; host games; balanced games (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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