Learning, convergence and economic constraints

Leopold Soegner

Research output: Contribution to journalArticle

Abstract

This article investigates a partial equilibrium production model with dynamic information aggregation. Firms use observed prices to estimate the unknown model parameter by applying Bayesian learning. In the baseline setting, the demand structure is linear and the noise term is Gaussian. Then, prices and quantities are supported by the real line and convergence of the limited information to rational expectations quantities is obtained. Since a production economy is considered, the economic constraint of non-negative quantities is imposed. This non-negativity constraint and the assumption that signals about demand are only received in periods where production takes place destroy the "optimistic" convergence result observed in the baseline model. With this constraint firms learning an unknown demand intercept parameter exit with strictly positive probability, even when the true value of this parameter would induce production in the full information setting. In a second step, the linear demand structure is replaced by piece-wise linear demand, such that prices become non-negative. Also in this stetting the convergence result of the baseline model does not hold.

Original languageEnglish (US)
Pages (from-to)27-43
Number of pages17
JournalMathematical Social Sciences
Volume75
DOIs
StatePublished - May 1 2015

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demand structure
Economics
Learning
Baseline
learning
economics
demand
Convergence Results
firm
Non-negative
Noise
Bayesian Learning
Rational Expectations
Unknown
aggregation
Nonnegativity
Intercept
Strictly positive
Real Line
Piecewise Linear

ASJC Scopus subject areas

  • Sociology and Political Science
  • Social Sciences(all)
  • Psychology(all)
  • Statistics, Probability and Uncertainty

Cite this

Learning, convergence and economic constraints. / Soegner, Leopold.

In: Mathematical Social Sciences, Vol. 75, 01.05.2015, p. 27-43.

Research output: Contribution to journalArticle

Soegner, Leopold. / Learning, convergence and economic constraints. In: Mathematical Social Sciences. 2015 ; Vol. 75. pp. 27-43.
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