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Avtomatika i Telemekhanika, 1987, Issue 10, Pages 122–131 (Mi at4581)  
Simulation of Behavior and Intelligence

An interval representation of utility

Y. S. Gurevich, G. E. Naumov

Rostov-on-Don
Full-text PDF (1317 kB)
Abstract: Conditions are discussed under which interval ranking can be represented on a set of arbitrary cardinality. The von Neumann–Morgenstern theorem on linear utility is extended. Conditions are formulated that are imposed on the preference relation in the set of probabilistic networks and are necessary and sufficient for representation of this relation as two linear utility functions.

Received: 23.04.1986
Document Type: Article
UDC: 65.01
Language: Russian
Citation: Y. S. Gurevich, G. E. Naumov, “An interval representation of utility”, Avtomat. i Telemekh., 1987, no. 10, 122–131
Citation in format AMSBIB
\Bibitem{GurNau87}
\by Y.~S.~Gurevich, G.~E.~Naumov
\paper An interval representation of utility
\jour Avtomat. i Telemekh.
\yr 1987
\issue 10
\pages 122--131
\mathnet{http://mi.mathnet.ru/at4581}
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