Geodesic
On the existence of equilibrium in an exchange economy with one class of non-convex preferences of consumers
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 240-248

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The paper focuses on the study of exchange economy models. It deals with situations that, unlike classical cases, allow for violations of the convexity of preference relations of consumers of a certain type. The properties of some characteristics of the economies under study are determined. Proofs of the existence of equilibrium prices and equilibrium distribution of goods are given.
Keywords: exchange economy, preference relation, convexity, equilibrium. 
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     title = {On the existence of equilibrium in an exchange economy with one class of non-convex preferences of consumers},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     number = {1},
     year = {2011},
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M. O. Gavrilova; M. A. Sevodin. On the existence of equilibrium in an exchange economy with one class of non-convex preferences of consumers. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 240-248. http://geodesic.mathdoc.fr/item/UZKU_2011_153_1_a19/