On Cournot-Nash equilibria with exogenous uncertainty
type: Item
instance of: scholarly article
title: On Cournot-Nash equilibria with exogenous uncertainty
zbMATH Open document ID: 0568.90103
DOI: 10.1007/BF00941066
author: Jan Aaftink
author: N. Ireland
author: Murat R. Sertel
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: A large body of literature has accumulated which examines how the optimal solution of an agent maximizing the expectation of a real-valued function, depending on a random parameter p and the agent's behavior x, reacts to perturbations in the first and second moments of p. Here, by an approximation valid for small uncertainty, we allow many agents and consider their behavior in a Cournot-Nash equilibrium. We also allow p to depend on the behaviors of the participating agents. We apply the analysis to two models, one of a Cournot oligopoly, the other of a cooperative of individuals where there is uncertainty in the return to communal work.
Mathematics Subject Classification ID: 91A10
Mathematics Subject Classification ID: 91B24
zbMATH DE Number: 3908202
zbMATH Keywords: optimal solution
zbMATH Keywords: Cournot-Nash equilibrium
zbMATH Keywords: Cournot oligopoly
zbMATH Keywords: noncooperative games
zbMATH Keywords: parameter uncertainty
zbMATH Keywords: collective farm
MaRDI profile type: Publication
cites work: Work incentives and uncertainty on a collective farm
cites work: Comparison and choice
full work available at URL: https://doi.org/10.1007/bf00941066
OpenAlex ID: W2089068279
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description: scientific article; zbMATH DE number 3908202