Cостоялость очередное заседание Общемосковского семинара "МАТЕМАТИЧЕСКИЕ МЕТОДЫ АНАЛИЗА РЕШЕНИЙ В ЭКОНОМИКЕ, БИЗНЕСЕ И ПОЛИТИКЕ"

Report of Alexis V.Belianin on the theme: "Choice through similarities"

Abstract:

      The paper develops a new approach to the theory of individual choice, based on the notion of similarity as developed by R.D.Luce, A.Tversky, A.Rubinstein and others. Our approach is descriptive: based on the extensive empirical and theoretical/philosophical evidence, we extend the notion of similarity to a family of binary relations which, under essentially the same assumptions as in Rubinstein (1988), serve as a basis to a topological space of perceptions of given incentives (exemplified as simple lotteries in individual choice tasks). Mental representations of different experimental tasks are then modeled as continuous maps relating different topological spaces, which provide natural explanation to several instances of context dependent choice, including preference reversals phenomenon and representation heuristic. We also obtain the conditions under which choice governed  by the family of similarities can be represented by the canonical utility functions or choice procedures, and discuss testable implications of the theory.

-------------------------------------------------------------------------------------------------------------------------------------------------

Руководители семинара: д.т.н., проф. Алескеров Фуад Тагиевич, д.т.н., проф. Подиновский Владислав Владимирович. 
Соруководитель семинара - д.т.н., проф. Миркин Борис Григорьевич.
-------------------------------------------------------------------------------------------------------------------------------------------------