Rational probabilistic deciders. II: Collective behavior
type: Item
instance of: scholarly article
title: Rational probabilistic deciders. II: Collective behavior
zbMATH Open document ID: 1141.91340
DOI: 10.1155/2007/82184
author: B. E. Eshmatov
published in: Mathematical Problems in Engineering
publication date: 2008-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/54377
review text: Summary: This paper explores the behavior of rational probabilistic deciders (RPDs) in three types of collectives: zero sum matrix games, fractional interactions, and Edgeworth exchange economies. The properties of steady states and transients are analyzed as a function of the level of rationality, \(N\), and, in some cases, the size of the collective, \(M\). It is shown that collectives of RPDs, may or may not behave rationally, depending, for instance, on the relationship between \(N\) and \(M\) (under fractional interactions) or \(N\) and the minimum amount of product exchange (in Edgeworth economies). The results obtained can be useful for designing rational reconfigurable systems that can autonomously adapt to changing environments. [For part I, cf. ibid. 35897 (2007; Zbl 1141.91339).]
Mathematics Subject Classification ID: 91A35
Mathematics Subject Classification ID: 91A26
Mathematics Subject Classification ID: 91B06
Mathematics Subject Classification ID: 90C15
zbMATH DE Number: 5311270
MaRDI profile type: Publication
OpenAlex ID: W1977478241
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description: scientific article; zbMATH DE number 5311270