Geodesic
Linear-fractional exchange model. Part~1: Existence and characterization of equilibrium
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 1, pp. 75-96

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In this paper we consider an exchange model with linear-fractional utility functions of consumers. Existence of equilibria are studied. We adduce existence conditions for the free disposal and strong equilibrium. For the fixed budget exchange model a reduction of the initial problem to the polyhedral complementarity one is obtained. Bibl. 18.
Keywords: linear-fractional function, exchange model, economic equilibrium, price vector, polyhedral complementarity. 
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     author = {V. I. Shmyrev},
     title = {Linear-fractional exchange model. {Part~1:} {Existence} and characterization of equilibrium},
     journal = {Diskretnyj analiz i issledovanie operacij},
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     publisher = {mathdoc},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/item/DA_2010_17_1_a4/}
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V. I. Shmyrev. Linear-fractional exchange model. Part~1: Existence and characterization of equilibrium. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 1, pp. 75-96. http://geodesic.mathdoc.fr/item/DA_2010_17_1_a4/