Competition for Loyal Customers

41 Pages Posted: 21 Oct 2022

See all articles by Alexander Usvitskiy

Alexander Usvitskiy

The School of Advanced Studies

Dmitry Ryvkin

Royal Melbourne Institute of Technolog (RMIT University)

Date Written: October 10, 2022

Abstract

We consider competition for market shares between two firms that make costly investments to attract and retain customers. The value customers bring to the firms in the next period is higher if these customers are loyal, i.e., they remained with the firm. Based on the retention value and on the prior allocation of market shares, the firms' equilibrium investments either preserve the status quo or redistribute customers so that one of the firms gains and the other firm loses its market share. We conduct a laboratory experiment to test the theory and investigate the effects of the relative retention value and the initial state of the market on competition. The initial state of the market is either randomly assigned or endogenously generated through a preliminary contest between the firms. We find that competitors invest more as the customer retention value rises, but only when it is sufficiently high. Investment also rises with initial market share when it is low, but not when it is high. Somewhat surprisingly, we find that, for a given initial market share, investment is lower when this market share is endogenously won than when it is randomly assigned, which we attribute to within-match learning about the competitor's type.

Keywords: Competition, Loyalty, Market shares, Dynamic game, Laboratory experiment

JEL Classification: C72, C92, D21, L21

Suggested Citation

Usvitskiy, Alexander and Ryvkin, Dmitry, Competition for Loyal Customers (October 10, 2022). Available at SSRN: https://ssrn.com/abstract=4244000 or http://dx.doi.org/10.2139/ssrn.4244000

Alexander Usvitskiy

The School of Advanced Studies ( email )

Tyumen
Russia

Dmitry Ryvkin (Contact Author)

Royal Melbourne Institute of Technolog (RMIT University) ( email )

Melbourne
Australia

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