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Avtomatika i Telemekhanika, 1989, Issue 7, Pages 168–175 (Mi at6353)  
Simulation of Behavior and Intelligence

Functional local operators of incomplete and nonempty ñhoiñå of options

B. V. Popov, L. N. Èl'kin

Voroshilovgrad
Full-text PDF (1128 kB)
Abstract: Functional voting operators are analyzed that reconsile individual choice functions into a «collective» choice function. Conditions are ascertained under which the functional voting operator which satisfies the locality condition is an operator of nonempty or incomplete choice. A description is provided of functional local operators which are simultaneously operators of nonempty and incomplete choice. For such operators an analog is established of the Arrow paradox which occurs when individual preferences are reconciled into a «collective» preference.

Received: 23.12.1987
Bibliographic databases:
Document Type: Article
UDC: 65.01
Language: Russian
Citation: B. V. Popov, L. N. Èl'kin, “Functional local operators of incomplete and nonempty ñhoiñå of options”, Avtomat. i Telemekh., 1989, no. 7, 168–175; Autom. Remote Control, 50:7 (1989), 987–992
Citation in format AMSBIB
\Bibitem{PopElk89}
\by B.~V.~Popov, L.~N.~\`El'kin
\paper Functional local operators of incomplete and nonempty ñhoiñå of options
\jour Avtomat. i Telemekh.
\yr 1989
\issue 7
\pages 168--175
\mathnet{http://mi.mathnet.ru/at6353}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1017983}
\zmath{https://zbmath.org/?q=an:0706.90010}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 7
\pages 987--992
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