RESEARCH PAPER NO. 791
A NOISY MODEL OF INDIVIDUAL BEHAVIOUR
by
SUREN BASOV
JUNE 2001
Department of Economics. University of Melbourne. Melbourne Victoria 3010 Australia
ABSTRACT
This paper develops a model of individual adjustment subject to mistakes. In this case when mistakes are assumed i.i.d., this process produces a probability distribution of agents decision whose evolution is determined by Fokker-Planck equation. This distribution converges to the unique, globally stable stationary distribution. In the case when choice space is one dimensional this distribution satisfies Independence of Irrelevant Alternatives (IIA) property. In multidimensional case for IIA to hold strong additional conditions on payoff function or error structure should be satisfied. The paper also considers generalization of model for autocorrelated errors in one-dimensional case.
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