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This paper investigates consumer's behavioural loyalty to online supermarkets over time. We use three measures of behavioural loyalty (share of category requirements, repertoire size, and polarisation index) from four major online supermarkets in the UK across five categories. We find that loyalty to online supermarkets is high in the categories we examined, though it declined somewhat from 2005 to 2009 and subsequently remained stable from 2010 to 2014. We also extensively test the generalisability of the well-known Dirichlet model to the choice of online supermarkets. We find that the model gives better fit from 2010 to 2014 than from 2005 to 2009 and can describe loyalty and competition in this context. Refereed/Peer-reviewed

This paper proposes and validates the negative binomial distribution (NBD) to predict the variation in repertoire size (the number of brands purchased by a consumer in a specific time period) within a category. From a managerial perspective, the variation is crucial for brand managers who would like to know the nature and intensity of competition that is facing their brands. Empirical findings across multiple datasets from UK consumer packaged goods demonstrate that the NBD model predicts variations in repertoire size very well in different time periods (1 year, 18 months and 3 years), and different buyer groups (light and heavy category buyers). The paper then suggests a simple method to predict those who are brand exclusively loyal, those who are loyal to a few brands, and those who are diversified to buy multiple brands, based on very little information such as category and brand penetrations, using the parameters of the NBD model. Refereed/Peer-reviewed