Monotonicity of extremal Walrasian prices in gross substitutes markets

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2024-07-30 DOI:10.1016/j.orl.2024.107149

Stephen Raach

引用次数: 0

Abstract

We consider a market of indivisible items with all agents possessing gross substitutes valuations. In this setting, Walrasian prices are guaranteed to exist. Assume that some items become unsaleable, or some new gross substitutes agents enter the market. How does this influence the set of Walrasian prices? In this note, we demonstrate that minimal and maximal Walrasian prices exhibit monotonous behavior in response to changes in supply or demand in gross substitutes markets.

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毛替代品市场中瓦尔拉斯极值价格的单调性

我们考虑的是一个由不可分割物品组成的市场，所有代理人都拥有总替代品价值。在这种情况下，瓦尔拉斯价格保证存在。假设一些物品变得无法出售，或者一些新的总替代品代理商进入市场。这会如何影响瓦尔拉斯价格集？在本论文中，我们将证明最小和最大瓦尔拉斯价格会随着总替代品市场的供求变化而表现出单调的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.