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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2010, Volume 12, Number 4, Pages 10–20 (Mi svmo3)

Mathematics

The construction of a preference field on a trade statistics

V. K. Gorbunov, A. G. Ledovskikh

Ulyanovsk State University

Abstract: An inverse problem for the generalized model of the consumer demand, consisting in construction of a vector field of consumer preferences on trade statistics is considered. The least squares algorithm of an estimation of parameters of the field is proposed. Node values of the field are obtained from the conditions of the monotony generating generalized system of inequalities.

Keywords: market demand, preference field, parameters estimation, generalized Afriat inequalities system.

UDC: 519.862.7

Received: 10.12.2010



© Steklov Math. Inst. of RAS, 2024