A linear algebra approach to non-transitive expected utility

Vesna Omladic () and Matjaz Omladic ()
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Vesna Omladic: Faculty of Social Sciences, University of Ljubljana, Kardeljeva ploscad 5, Ljubljana, Slovenia
Matjaz Omladic: Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia

Social Choice and Welfare, 2001, vol. 18, issue 2, 267 pages

Abstract: The purpose of this paper is twofold. One of the aims is to give a view of P. C. Fishburn's non-transitive expected utility through geometric linear algebra. The other is to give an application of these ideas to a social choice problem. Actually, the problem under consideration arises from the theory of dynamical systems of structures in a society as studied in [All] and [Om1]. A variation of this model as presented in [Om2] leads to the problem of how macro structures of a society form coalitions. Their possible irrational behaviour may be treated using non-transitive expected utility.

Date: 2001-04-17
Note: Received: 14 February 1996/Accepted: 22 January 1997
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