We solve a mixed spatial duopoly with a generic log-concave consumers’ distribution. We show that the sub-game perfect equilibrium in prices and locations exists and is generally inefficient, so that the efficiency in the standard uniform distribution case stands out as an exception. Notable examples show that the inefficiency may increase as the distribution becomes more concentrated.

Mixed spatial duopoly, consumers’ distribution and efficiency

COLOMBO, Caterina
2017

Abstract

We solve a mixed spatial duopoly with a generic log-concave consumers’ distribution. We show that the sub-game perfect equilibrium in prices and locations exists and is generally inefficient, so that the efficiency in the standard uniform distribution case stands out as an exception. Notable examples show that the inefficiency may increase as the distribution becomes more concentrated.
Benassi, Corrado; Chirco, Alessandra; Colombo, Caterina
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