双物品 HARA 效用经济中的禀赋、耐心类型和唯一性

IF 0.4 Q4 ECONOMICS Economic Theory Bulletin Pub Date : 2024-05-28 DOI:10.1007/s40505-024-00269-7

Andrea Loi, Stefano Matta

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引用次数: 0

摘要

本文在禀赋、耐心类型和 HARA 伯努利效用函数参数之间建立了一种联系，这种联系确保了在具有两种商品和两种耐心类型的经济中均衡的唯一性。我们提供了充分条件，保证了 HARA 效用函数 \(\frac{a}\{gamma }{1-\gamma }\left( b+\frac{a}\{gamma }x\right) ^{1-\gamma }\ 中任何可能的 \(\gamma \) 值的均衡唯一性。该分析有助于研究具有两种物品和两种代理类型的纯交换经济中的唯一性，并扩展了 Loi 和 Matta (2022) 的结果。

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Endowments, patience types, and uniqueness in two-good HARA utility economies

This paper establishes a link between endowments, patience types, and the parameters of the HARA Bernoulli utility function that ensure equilibrium uniqueness in an economy with two goods and two impatience types with additive separable preferences. We provide sufficient conditions that guarantee uniqueness of equilibrium for any possible value of \(\gamma \) in the HARA utility function \(\frac{\gamma }{1-\gamma }\left( b+\frac{a}{\gamma }x\right) ^{1-\gamma }\). The analysis contributes to the literature on uniqueness in pure exchange economies with two-goods and two agent types and extends the result in Loi and Matta (2022).

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Economic Theory Bulletin ECONOMICS-

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期刊介绍： The purpose of Economic Theory Bulletin is to provide an outlet for research in all areas of Economics based on rigorous theoretical reasoning. The Economic Theory Bulletin together with Economic Theory are the official journals of the Society for the Advancement of Economic Theory. The Economic Theory Bulletin is intended to publish: 1. Short papers/notes of substantial interest. Content is subject to the same standards as Economic Theory: research in all areas of economics based on rigorous theoretical reasoning and on topics in mathematics that are supported by the analysis of economic problems. Published articles contribute to the understanding and solution of substantive economic problems. Theory papers with the substance and style for other journals that specialize in short papers are welcomed. Corollaries of already known results in the literature are not appropriate for publication. 2. Survey papers that clearly picture the basic ideas at work in the area, the essential technical apparatus that is used and the central questions that remain open.

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Divisionalization and symmetric product differentiation The existence of Walrasian equilibrium: infinitely many commodities, measure space of agents, and discontinuous preferences Imperfect discrimination, similarity, and stochastic transitivity A solution to a conjecture of David Schmeidler Endowments, patience types, and uniqueness in two-good HARA utility economies