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A note on the core

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Abstract

This note studies an exchange economy in which there are n traders and n “kinds” of commodities. Each trader has n utility functions corresponding to n “kinds” of commodities, respectively. Thus, a multiple non-transferable utility game can be derived from this exchange economy. It is shown that a sufficient condition for non-emptiness of the core of a multiple non-transferable utility game. The result is an extension of Scarf-Billera theorem.

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  1. Department of Applied Mathematics, National Dong Hwa University, Hualien, 974, Taiwan

    Yan-An Hwang

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  1. Yan-An Hwang
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Hwang, YA. A note on the core. J Glob Optim 55, 627–632 (2013). https://doi.org/10.1007/s10898-012-9959-3

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  • DOI: https://doi.org/10.1007/s10898-012-9959-3

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