Equilibrios competitivos y de Bertrand, con y sin Diferenciación de Productos

in this paper we show that a homogeneous-product market with multiple bertrand equilibria becomes a market with a single bertrand equilibrium when we introduce a small degree of product differentiation. when differentiation tends to zero, that bertrand equilibrium converges to the unique competitive equilibrium of the homogeneous-product market, which is in turn one of the multiple bertrand equilibria for that market.