Geodesic
The method of meeting trajectories for a~linear production-exchange model
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 4, pp. 136-147

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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.
Keywords: exchange model, economic equilibrium, price vector, polyhedral complementarity, simplex-type algorithm. 
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     author = {V. I. Shmyrev},
     title = {The method of meeting trajectories for a~linear production-exchange model},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {136--147},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a12/}
}
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V. I. Shmyrev. The method of meeting trajectories for a~linear production-exchange model. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 4, pp. 136-147. http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a12/