An elasticity approach to equilibrium and preference concentration in the Hotelling game

Abstract

We consider the standard Hotelling price-and-location game with two firms, and show how equilibrium is affected by the shape of the consumers' density. By describing the latter in terms of elasticity (Esteban in Int Econ Rev 27:439-444, 1986), we develop a framework which enables us to prove a sufficient condition for the existence of multiple asymmetric equilibria when the density is symmetric, in terms of a lower bound on the Gini coefficient of the distribution of preferences.