Skimming through search

I examine a two-period duopolistic market for a durable good where firms compete in prices. Consumers are heterogeneous and can be described according to the following characteristics (i) high valuation and high search intensity; (ii) high valuation and low search intensity; (iii) low valuation and high search intensity; and (iv) low valuation and low search intensity. The market exhibits a new version of the so-called Coasian dynamics. The firms engage in intertemporal price discrimination and only consumers with high valuation and low search intensity purchase the product early. This result is based on a property which dictates that the consumers with high valuation and low search intensity are the most impatient. I call this the skimming through search property. When the difference between the high and the low valuation is small, there is positive probability that the prices in the first period are lower than the prices in the second period, so each firm may set a decreasing sequence of prices in a stochastic sense. Furthermore, when the percentage of consumers with high valuation increases, all consumers pay lower prices. This inter-consumer externality resembles the positive externality caused by an increase in market transparency.

Pricing models of two-sided markets incorporating service quality

Purpose This paper aims to study the pricing problems on the two-sided market for cases of monopoly and duopoly competition, specifically investigating the impact of platform service quality on the market. Theoretical analysis and computational studies are conducted to investigate the impact of different parameters on the system outcomes. Design/methodology/approach Mathematical formulations are proposed for cases of monopoly and duopoly competition. For monopolistic market, the optimal pricing and service quality strategies are obtained using mathematical programming method. For duopolistic market, the equilibrium outcomes are derived by game theory. Sensitivity analysis and numerical studies are also adopted to investigate the impact of different parameters. Findings For monopolistic market, the platform will provide a low service quality when the service cost parameter is large. However, when the cost parameter is small, the platform provides a higher service quality and higher registration prices. Furthermore, the sum of the optimal prices is proportional to the service quality and inversely proportional to the user price sensitivity. For duopolistic market, the competitive equilibrium prices exist under a certain condition. The determinants of equilibrium prices are the gap between the service qualities of two platforms and the cross-group externalities. Originality/value For monopolistic market, this paper specifies the role of platform service quality in determining the platform’s pricing strategy. For duopolistic market, this paper presents a market sharing mechanism between two platforms and explores the equilibrium pricing strategies for platforms with different service quality level.

On Pure-Strategy Nash Equilibria in a Duopolistic Market Share Model

This paper develops a duopolistic discounted marketing model with linear advertising costs and advertised prices for mature markets still in expansion. Generic and predatory advertising effects are combined together in the model. We characterize a class of advertising models with some lowered production costs. For such a class of models, advertising investments have a no-free-riding strict Nash equilibrium in pure strategies if discount rates are small. We discuss the entity of this efficiency at varying of parameters of our advertising model. We provide a computational framework in which market shares can be computed at equilibrium, too. We analyze market share dynamics for an asymmetrical numerical scenario where one of the two firms is more effective in generic and predatory advertising. Several numerical insights on market share dynamics are obtained. Our computational framework allows for different scenarios in practical applications and it is developed, thanks to Mathematica software.