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This paper draws on econometrics, von Neumann-Morgenstern utility theory, stochastic choice theory, and consumer behavior to develop five basic axioms or postulates of stochastic choice behavior. These axioms imply the existence and uniqueness of a preference function which identifies how consumers evaluate products in terms of product attributes. The preference function produces a scalar goodness measure for each product in a consumer's choice set. These goodness measures then predict choice probabilities for each product in a consumer's choice set. The advantage of these axioms is that they extend the strengths of von Neumann-Morgenstern theory to stochastic choice and make possible the determination of consistent choice probabilities.
John R. Hauser (Fri,) studied this question.