Minimal entropy and uniqueness of price equilibria in a pure exchange economy

Andrea Loi and Stefano Matta

Papers from arXiv.org

Abstract: We introduce uncertainty into a pure exchange economy and establish a connection between Shannon's differential entropy and uniqueness of price equilibria. The following conjecture is proposed under the assumption of a uniform probability distribution: entropy is minimal if and only if the price is unique for every economy. We show the validity of this conjecture for an arbitrary number of goods and two consumers and, under certain conditions, for an arbitrary number of consumers and two goods.

Date: 2021-02
New Economics Papers: this item is included in nep-hme
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Citations: View citations in EconPapers (6)

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Journal Article: Minimal entropy and uniqueness of price equilibria in a pure exchange economy (2021)
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2102.09827

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