Market Experimentation in a Dynamic Differentiated-Goods Duopoly
AbstractWe study the evolution of prices in a symmetric duopoly where firms are uncertain about the degree of product differentiation. Customers sometimes perceive the products as close substitutes, sometimes as highly differentiated. Firms learn about their competitive environment from the quantities sold and a background signal. As the information of the market outcomes increases with the price differential, there is scope for active learning. In a setting with linear demand curves, we derive firms' pricing strategies as payoff-symmetric mixed or correlated Markov perfect equilibria of a stochastic differential game where the common posterior belief is the natural state variable. When information has low value, firms charge the same price as would be set by myopic players, and there is no price dispersion. When firms value information more highly, on the other hand, they actively learn by creating price dispersion. This market experimentation is transient, and most likely to be observed when the firms' environment changes sufficiently often, but not too frequently.
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Bibliographic InfoPaper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Theoretical Economics Paper Series with number 369.
Date of creation: Jul 1999
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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp
Duopoly experimentation; Bayesian learning; stochastic differential game; Markov-perfect equilibrium; mixed strategies; correlated equilibrium.;
Other versions of this item:
- Godfrey Keller & Sven Rady, 1998. "Market Experimentation in a Dynamic Differentiated-Goods Duopoly," Game Theory and Information 9810001, EconWPA, revised 20 Aug 1999.
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
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