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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 2, Pages 79–96 (Mi da607)  
This article is cited in 1 scientific paper (total in 1 paper)

Linear-fractional exchange model. Part 2: Algorithm of meeting trajectories for the fixed budget model

V. I. Shmyrevab

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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Abstract: In the paper we consider an exchange model with linear-fractional utility functions of consumers. For the fixed budget exchange model an algorithm is proposed, which uses a polyhedral complementarity approach. This approach was developed earlier by author for linear models. Under very weak non-degeneracy assumption on the initial state, we prove that the proposed algorithm yields an equilibrium in finite steps. Bibl. 18.
Keywords: exchange model, linear-fractional function, utility function, economic equilibrium, price vector, mapping, fixed point, algorithm, polyhedral complementarity.
Received: 07.04.2009
Revised: 21.12.2009
Bibliographic databases:
Document Type: Article
UDC: 519.865.3
Language: Russian
Citation: V. I. Shmyrev, “Linear-fractional exchange model. Part 2: Algorithm of meeting trajectories for the fixed budget model”, Diskretn. Anal. Issled. Oper., 17:2 (2010), 79–96
Citation in format AMSBIB
\Bibitem{Shm10}
\by V.~I.~Shmyrev
\paper Linear-fractional exchange model. Part~2: Algorithm of meeting trajectories for the fixed budget model
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 2
\pages 79--96
\mathnet{http://mi.mathnet.ru/da607}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682091}
\zmath{https://zbmath.org/?q=an:1249.91080}
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