Geodesic
A linear production-exchange model: Polyhedral complexes and a~criterion for an equilibrium
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 124-131

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Under study is an economic model of exchange whose participants include consumers as well as companies producing commodities. The production capabilities of the companies are constrained by the expenses of a certain single resource. We scrutinize the version of the model with fixed budgets of the participants, show that some equilibrium exists, and describe an original approach of polyhedral complementarity which enables us to obtain a criterion for an equilibrium state. Thus, we can propose a finite algorithm for finding an equilibrium.
Keywords: exchange model, economic equilibrium, price vector, fixed budgets, polyhedral complex, complementarity. 
@article{SJIM_2011_14_2_a14,
     author = {V. I. Shmyrev},
     title = {A linear production-exchange model: {Polyhedral} complexes and a~criterion for an equilibrium},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {124--131},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a14/}
}
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V. I. Shmyrev. A linear production-exchange model: Polyhedral complexes and a~criterion for an equilibrium. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 124-131. http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a14/