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Some notes on dynamic oligopsonies

Some notes on dynamic oligopsonies AbstractA special oligopoly model is considered when the firms compete on the factor market, and the used factor volumes determine their outputs. In the Nfirm case conditions are given for the existence of the Nash equilibrium, and in the cooperative case, sufficient conditions are derived for the existence and uniqueness of the joint profit maximizer. In the case of a linear duopoly the dynamic extensions are introduced in both cases based on gradient adjustments. Conditions are given for the local asymptotic stability of the equilibrium and the joint profit maximizer without and with information delays. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Pure Mathematics and Applications de Gruyter

Some notes on dynamic oligopsonies

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Publisher
de Gruyter
Copyright
© 2022 Maryam Hamidi et al., published by Sciendo
eISSN
1788-800X
DOI
10.2478/puma-2022-0018
Publisher site
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Abstract

AbstractA special oligopoly model is considered when the firms compete on the factor market, and the used factor volumes determine their outputs. In the Nfirm case conditions are given for the existence of the Nash equilibrium, and in the cooperative case, sufficient conditions are derived for the existence and uniqueness of the joint profit maximizer. In the case of a linear duopoly the dynamic extensions are introduced in both cases based on gradient adjustments. Conditions are given for the local asymptotic stability of the equilibrium and the joint profit maximizer without and with information delays.

Journal

Pure Mathematics and Applications – de Gruyter

Published: Oct 1, 2022

Keywords: oligopsony; equilibrium; stability; time delay; 91B55; 91A25

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