β Scribed by TΓΆnu Puu (auth.)
No coin nor oath required. For personal study only.
The book focuses classical oligopoly theory as developed in 1840-1940. By the end of this period oligopoly came under the spell of game theory in its probabilistic equilibrium format. Work by Cournot, von Stackelberg, Palander, and Hotelling, causal and dynamic in essence, but ignored, is reconsidered in the light of modern dynamics using topology and numerics. As particular features, von Stackelberg leadership is included in the dynamic Cournot model, the Hotelling problem is solved with elastic demand, thus skipping the absurd idea of quadratic transportation costs. Further, it is shown that the celebrated destabilisation of Cournot equilibrium under increased competition is due to mistakenly assuming constant returns, and that the whole idea of rational expectations is untenable in dynamic oligopoly. Early original ideas in oligopoly theory, such as coexistence and multiplicity of attractors are focused again after many undeserved decades of oblivion.
Front Matter....Pages i-ix
Introduction....Pages 1-16
Cournot Oligopoly....Pages 17-41
Duopoly and Complex Dynamics....Pages 43-67
Stackelberg Leadership....Pages 69-100
Capacity Limits....Pages 101-125
Multistability....Pages 127-150
The Hotelling Paradox....Pages 151-170
Back Matter....Pages 171-172
Industrial Organization; Applications of Mathematics
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