Two Remarks on the Infinite Approximation of a Finite World in Economic Models

While the assumption of infinity is prevalent in almost every area of economics, for two well-known frameworks in decision theory, we note some fundamental differences between the finite versions and their infinite counterpart. The first is on the usage of mixed strategies in finite games, while the...

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Main Author: Shravan Luckraz
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/2457746
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author Shravan Luckraz
author_facet Shravan Luckraz
author_sort Shravan Luckraz
collection DOAJ
description While the assumption of infinity is prevalent in almost every area of economics, for two well-known frameworks in decision theory, we note some fundamental differences between the finite versions and their infinite counterpart. The first is on the usage of mixed strategies in finite games, while the second is on a characterization of the truth axiom in models of information and knowledge, where the properties of belief can be related to the properties of preference.
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spelling doaj-art-c649b1307d2b426783da5484f5ba0d082025-02-03T01:26:34ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2457746Two Remarks on the Infinite Approximation of a Finite World in Economic ModelsShravan Luckraz0School of Public Finance and TaxationWhile the assumption of infinity is prevalent in almost every area of economics, for two well-known frameworks in decision theory, we note some fundamental differences between the finite versions and their infinite counterpart. The first is on the usage of mixed strategies in finite games, while the second is on a characterization of the truth axiom in models of information and knowledge, where the properties of belief can be related to the properties of preference.http://dx.doi.org/10.1155/2022/2457746
spellingShingle Shravan Luckraz
Two Remarks on the Infinite Approximation of a Finite World in Economic Models
Journal of Mathematics
title Two Remarks on the Infinite Approximation of a Finite World in Economic Models
title_full Two Remarks on the Infinite Approximation of a Finite World in Economic Models
title_fullStr Two Remarks on the Infinite Approximation of a Finite World in Economic Models
title_full_unstemmed Two Remarks on the Infinite Approximation of a Finite World in Economic Models
title_short Two Remarks on the Infinite Approximation of a Finite World in Economic Models
title_sort two remarks on the infinite approximation of a finite world in economic models
url http://dx.doi.org/10.1155/2022/2457746
work_keys_str_mv AT shravanluckraz tworemarksontheinfiniteapproximationofafiniteworldineconomicmodels