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Some notes on dynamic oligopsonies

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Pure Mathematics and Applications
Special issue dedicated to 70th anniversary of prof. Peter Tallos

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A 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.