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Bayesian learning in mis-specified models

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Author Info
Maarten-Pieter Schinkel () (Department of Economics, University of Maastricht, The Netherlands)
Jan Tuinstra () (Institute of Actuarial Science and Econometrics, University of Amsterdam, The Netherlands)
Dries Vermeulen () (Instituto de Economia Publica Universidad del Pais Vasco, Spain)

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Abstract

A central unanswered question in economic theory is that of price formation in disequilibrium. This paper lays down the methodological groundwork for a model that has been suggested as an answer to this question (Arrow, 1959; Fisher, 1983; Hahn, 1989). We consider sellers that monopolistically compete in prices but have incomplete information about the structure of the market they face. They each entertain a simple demand conjecture in which sales are perceived to depend on the own price only, and set prices to maximize expected profits. Prior beliefs on the parameters of conjectured demand are updated into posterior beliefs upon each observation of sales at proposed prices, using Bayes' rule. The rational learning process thus constructed drives the price dynamics of the model. Its properties are analysed. Moreover, a sufficient condition is provided, relating objectively possible events and subjective beliefs, under which the price process is globally stable on a conjectural equilibrium for almost all objectively possible developments of history.

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Paper provided by Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística) in its series BILTOKI with number 200005.

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Date of creation: 23 Mar 2000
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Handle: RePEc:ehu:biltok:200005

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Postal: Dpto. de Econometría y Estadística, Facultad de CC. Económicas y Empresariales, Universidad del País Vasco, Avda. Lehendakari Aguirre 83, 48015 Bilbao, Spain
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Related research
Keywords: Oligopolistic Price Setting; Bayesian Learning; Conjectural Equilibrium.;

Find related papers by JEL classification:
C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
D21 - Microeconomics - - Production and Organizations - - - Firm Behavior
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection

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  1. Kalai, Ehud & Lehrer, Ehud, 1993. "Rational Learning Leads to Nash Equilibrium," Econometrica, Econometric Society, vol. 61(5), pages 1019-45, September. [Downloadable!] (restricted)
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