Article ID Journal Published Year Pages File Type
4638338 Journal of Computational and Applied Mathematics 2016 15 Pages PDF
Abstract

It has been recently suggested that both the number of options considered by consumers and their satisfaction when shopping respond to changes in the mean and spread of market prices. A structured analysis of those responses is provided in this paper. A new adverse effect related with consumer’s welfare is presented here, namely a consumer that searches exhaustively among all market options–called maximizer–experiences welfare loss when the dispersion of prices is too high. In fact, her welfare exhibits an inverted-UU shape with respect to the standard deviation σσ of prices so that an increase in price spread produces more welfare for small values of σσ but it has a negative effect for larger values of σσ. This new phenomenon is termed σσ-overload. It is also shown that a consumer that is content with shopping from a reduced sample of options–a satisficer–avoids σσ-overload by adapting her search behavior to the increase in spread. A quantitative assessment of consumer’s behavior and welfare with respect to changes in the mean and dispersion of prices under different scenarios is also provided.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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