Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion

We consider the ubiquitous problem of a seller competing in a market of a product with dispersed prices and having limited information about both his competitors’ prices and the shopping behavior of his potential customers. Given the distribution of market prices, the distribution of consumers’ shop...

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Main Authors: Francisco Álvarez, José-Manuel Rey, Raúl G. Sanchis
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/3254240
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author Francisco Álvarez
José-Manuel Rey
Raúl G. Sanchis
author_facet Francisco Álvarez
José-Manuel Rey
Raúl G. Sanchis
author_sort Francisco Álvarez
collection DOAJ
description We consider the ubiquitous problem of a seller competing in a market of a product with dispersed prices and having limited information about both his competitors’ prices and the shopping behavior of his potential customers. Given the distribution of market prices, the distribution of consumers’ shopping behavior, and the seller’s cost as inputs, we find the computational solution for the pricing strategy that maximizes his expected profits. We analyze the seller’s solution with respect to different exogenous perturbations of parametric and functional inputs. For that purpose, we produce synthetic price data using the family of Generalized Error Distributions that includes normal and quasiuniform distributions as particular cases, and we also generate consumers’ shopping data from different behavioral assumptions. Our analysis shows that, beyond price mean and dispersion, the shape of the price distribution plays a significant role in the seller’s pricing solution. We focus on the seller’s response to an increasing diversity in consumers’ shopping behavior. We show that increasing heterogeneity in the shopping distribution typically lowers seller’s prices and expected profits.
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institution Kabale University
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spelling doaj-art-76f058928ce34cbf81004cb212451fbe2025-08-20T03:35:37ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/32542403254240Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price DispersionFrancisco Álvarez0José-Manuel Rey1Raúl G. Sanchis2Department of Economics, Universidad Complutense de Madrid, Madrid, SpainDepartment of Economic Analysis, Universidad Complutense de Madrid, Madrid, SpainDepartment of Economics, ICADE, Universidad Pontificia Comillas, Madrid, SpainWe consider the ubiquitous problem of a seller competing in a market of a product with dispersed prices and having limited information about both his competitors’ prices and the shopping behavior of his potential customers. Given the distribution of market prices, the distribution of consumers’ shopping behavior, and the seller’s cost as inputs, we find the computational solution for the pricing strategy that maximizes his expected profits. We analyze the seller’s solution with respect to different exogenous perturbations of parametric and functional inputs. For that purpose, we produce synthetic price data using the family of Generalized Error Distributions that includes normal and quasiuniform distributions as particular cases, and we also generate consumers’ shopping data from different behavioral assumptions. Our analysis shows that, beyond price mean and dispersion, the shape of the price distribution plays a significant role in the seller’s pricing solution. We focus on the seller’s response to an increasing diversity in consumers’ shopping behavior. We show that increasing heterogeneity in the shopping distribution typically lowers seller’s prices and expected profits.http://dx.doi.org/10.1155/2016/3254240
spellingShingle Francisco Álvarez
José-Manuel Rey
Raúl G. Sanchis
Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion
Abstract and Applied Analysis
title Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion
title_full Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion
title_fullStr Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion
title_full_unstemmed Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion
title_short Pricing Strategy versus Heterogeneous Shopping Behavior under Market Price Dispersion
title_sort pricing strategy versus heterogeneous shopping behavior under market price dispersion
url http://dx.doi.org/10.1155/2016/3254240
work_keys_str_mv AT franciscoalvarez pricingstrategyversusheterogeneousshoppingbehaviorundermarketpricedispersion
AT josemanuelrey pricingstrategyversusheterogeneousshoppingbehaviorundermarketpricedispersion
AT raulgsanchis pricingstrategyversusheterogeneousshoppingbehaviorundermarketpricedispersion