Competition between rival brands within the same category gives rise to special competition/substitution eects of great interest for involved firms. In the companion article, we studied balanced models that are adequate to describe a homogeneous category for which within-brand and cross-brand word-of-mouth eects are indistinguishable. Conversely, in this paper we propose an unbalanced model that, besides separating these two imitative sources, also allows for a change in the parameter values of the rst entrant as soon as the second one enters the market. We prove that our model has a closed-form solution allowing parameters to be estimated with sales data. Moreover, we compare our model with other unbalanced models, both from a theoretical point of view and from an empirical one, by comparing their performance on pharmaceutical drug data.

Competition Modelling in Multi.Innovation Diffusions. Part II: Unbalanced Models

GUSEO, RENATO;MORTARINO, CINZIA
2010

Abstract

Competition between rival brands within the same category gives rise to special competition/substitution eects of great interest for involved firms. In the companion article, we studied balanced models that are adequate to describe a homogeneous category for which within-brand and cross-brand word-of-mouth eects are indistinguishable. Conversely, in this paper we propose an unbalanced model that, besides separating these two imitative sources, also allows for a change in the parameter values of the rst entrant as soon as the second one enters the market. We prove that our model has a closed-form solution allowing parameters to be estimated with sales data. Moreover, we compare our model with other unbalanced models, both from a theoretical point of view and from an empirical one, by comparing their performance on pharmaceutical drug data.
2010
Working Paper Series, N. 10, September 2010, Department of Statistical Sciences, University of Padua
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2418530
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