Two firms selling a homogenous product to two types of buyers are involved in a sequential pricing game with zero costs. The pricing strategy available involves a fixed price and a royalty. It is shown that there exists a unique subgame perfect equilibrium with positive profits to both firms if...

In this paper, we investigate the profitability of horizontal mergers of firms with price adjustments. We take a differential game approach and both the open-loop as well as the closed-loop equlibria are considered. We show that the merger incentive is determined by how fast the price adapts to...

This paper studies evolution of firms' behavior in a networked Bertrand oligopoly market, in which firms who are located on vertices of a network compete in price with their neighbors. This network model is also applied to a market with multi-dimensionally differentiated products. In a...

Increased sales due to promotions could be at the expense of competitors: such sales come from consumers with relatively weak brand preferences. However, increased sales from brand loyal consumers could well cannibalize sales of the promoted brand. An unintended consequence of promotions is that...

The article proposes an evolutionary game theoretical analysis of quality and price competition in oligopoly. Using the notion of a finite population evolutionarily stable strategy (FPESS) defined by Schaffer (1989), the relative payoff maximizing behavior is compared with the absolute payoff...

We study a duopoly where the two price setting firms have symmetric information. The firms produce substitute goods with a state dependent common value. The information that is available to both firms about the unknown state of nature is also available to the consumers, who also have access to...

In this paper I set forth an antitrust remedy for the oligopolistic pricing problem. Oligopoly pricing resembles a repeated prisoners' dilemma game. Each firm has an incentive to moderately lower its price and thus increase its sales at its competitors' expense. However, each firm knows that its...

Classic artificial intelligence (Q-learning) algorithms have been capable of consistently learning supra-competitive pricing strategies in infinitely repeated Nash-Bertrand pricing games without human communication. Such algorithms have been able to converge due to the temporal correlation of...

We introduce a model of oligopoly dynamic pricing where firms with limited capacity face a sales deadline. We establish conditions under which the equilibrium is unique and converges to a system of differential equations. Using unique and comprehensive pricing and bookings data for competing...