We examine how revenue-sharing and profit-sharing stakes affect price competition intensity under duopoly. Our analysis builds on the price competition framework introduced by Varian (1980) and accounts for fundamental asymmetries in terms of cost and consumer loyalty. A stake exists when a firm...

Leading retailers have opened up their online storefronts to competitors by operating marketplaces for third party sellers. We develop a model of entry and price competition at the product market level, and show that the retailer softens competition through control of the storefront and benefits...

In this paper we propose a two-good model of price competition in an oligopoly where the two goods can be complements or substitutes and each retailer has a captive consumer base `a la Burdett and Judd (1983). We find that the symmetric Nash Equilibrium of this model features atomless pricing...

I show that marginal cost asymmetry has important implications for search models. In several widely used search models with mixed strategy equilibria, excluding some special cases, firms with different marginal costs cannot randomize prices in the same interval. So, even a small asymmetry in...

We show that the Bertrand oligopoly model with cost asymmetries may admit multiple Nash equilibria when firms hold passive ownership stakes in each other. The equilibrium price may be as high as the monopoly price of the most efficient firm.