### 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 language | English (US) |
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Pages (from-to) | 27-43 |

Number of pages | 17 |

Journal | Mathematical Social Sciences |

Volume | 75 |

DOIs | |

State | Published - May 1 2015 |

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### ASJC Scopus subject areas

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

### Cite this

*Mathematical Social Sciences*,

*75*, 27-43. https://doi.org/10.1016/j.mathsocsci.2015.01.004

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

Research output: Contribution to journal › Article

*Mathematical Social Sciences*, vol. 75, pp. 27-43. https://doi.org/10.1016/j.mathsocsci.2015.01.004

}

TY - JOUR

T1 - Learning, convergence and economic constraints

AU - Soegner, Leopold

PY - 2015/5/1

Y1 - 2015/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84924300048&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924300048&partnerID=8YFLogxK

U2 - 10.1016/j.mathsocsci.2015.01.004

DO - 10.1016/j.mathsocsci.2015.01.004

M3 - Article

AN - SCOPUS:84924300048

VL - 75

SP - 27

EP - 43

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

ER -