Geodesic
A generalized linear exchange model
Diskretnyj analiz i issledovanie operacij, Tome 13 (2006) no. 2, pp. 74-102

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The linear exchange model is studied in which alongside the consumers there are firms minimizing expenses to guarantee some minimal level of the total cost of production. Some finite algorithm for finding an equilibrium is proposed and justified in the case of the fixed budgets of consumers. This algorithm develops the original approach of polyhedral complementarity which was proposed by the author for the classical exchange model. 
@article{DA_2006_13_2_a5,
     author = {V. I. Shmyrev},
     title = {A generalized linear exchange model},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {74--102},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2006_13_2_a5/}
}
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V. I. Shmyrev. A generalized linear exchange model. Diskretnyj analiz i issledovanie operacij, Tome 13 (2006) no. 2, pp. 74-102. http://geodesic.mathdoc.fr/item/DA_2006_13_2_a5/