Local incentive compatibility on gross substitutes and other non-convex type-spaces

IF 1 4区经济学 Q3 ECONOMICS

Journal of Mathematical Economics Pub Date : 2024-04-17 DOI:10.1016/j.jmateco.2024.102989

Ujjwal Kumar , Souvik Roy

引用次数: 0

Abstract

We explore the equivalence of local incentive compatibility (LIC) (Carroll 2012) and incentive compatibility (IC) in non-convex type-spaces. We provide a sufficient condition on a type-space called richness for the said equivalence. Using this result, we show that LIC and IC are equivalent on large class of non-convex type-spaces which include the gross substitutes type-space and the generalized gross substitutes and complements type-space. Finally, we provide a geometric property consisting of three conditions for the equivalence of LIC and IC, and show that all the conditions are indispensable.

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总替代品和其他非凸类型空间的局部激励相容性

我们探讨了非凸类型空间中局部激励相容（LIC）（卡罗尔，2012 年）和激励相容（IC）的等价性。我们为上述等价性提供了一个称为丰富度的类型空间的充分条件。利用这一结果，我们证明 LIC 和 IC 在一大类非凸类型空间上是等价的，这些类型空间包括总替代类型空间和广义总替代和互补类型空间。最后，我们为 LIC 和 IC 的等价性提供了由三个条件组成的几何性质，并证明所有条件都是不可或缺的。

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

Journal of Mathematical Economics 管理科学-数学跨学科应用

CiteScore

1.70

自引率

7.70%

发文量

审稿时长

12.5 weeks

期刊介绍： The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.