Abstract:
We study the exchange model of economics whose participants include both consumers and companies producing goods. The production capacities of the companies are restricted by the expenses of a certain single resource. We study in detail the version of the model with fixed budgets of the participants. We present and justify a method for finding the equilibrium, which develops the original approach of polyhedral complementarity. Under a rather slight assumption of nondegeneracy we show that the algorithm enables us to obtain the equilibrium state in finitely many steps.
Citation:
V. I. Shmyrev, “The method of meeting trajectories for a linear production-exchange model”, Sib. Zh. Ind. Mat., 14:4 (2011), 136–147; J. Appl. Industr. Math., 6:4 (2012), 490–500
\Bibitem{Shm11}
\by V.~I.~Shmyrev
\paper The method of meeting trajectories for a~linear production-exchange model
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 4
\pages 136--147
\mathnet{http://mi.mathnet.ru/sjim704}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2954014}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 4
\pages 490--500
\crossref{https://doi.org/10.1134/S1990478912040102}
Linking options:
https://www.mathnet.ru/eng/sjim704
https://www.mathnet.ru/eng/sjim/v14/i4/p136
This publication is cited in the following 2 articles:
V. I. Shmyrev, “An iterative approach for searching an equilibrium in piecewise linear exchange model”, Discrete Optimization and Operations Research, DOOR 2016, Lecture Notes in Computer Science, 9869, eds. Y. Kochetov, M. Khachay, V. Beresnev, E. Nurminski, P. Pardalos, Springer Int. Publishing Ag, 2016, 61–73
V. I. Shmyrev, “Algoritmy poliedralnoi komplementarnosti dlya otyskaniya ravnovesiya v lineinykh modelyakh konkurentnoi ekonomiki”, Diskretn. analiz i issled. oper., 21:2 (2014), 84–101
Citation in format AMSBIB
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