Extensions and Generalizations

  • Koji Okuguchi
  • Ferenc Szidarovszky
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 342)


This chapter will generalize and extend the results on dynamic oligopolies presented in Chapters 4 and 5. The first two subsections discuss a natural extension of oligopoly problems, namely quadratic games. In earlier investigations we always considered time independent price and cost functions. This is unrealistic since changes in input prices, technical progress, et cetera, affect cost and/or demand functions. In such models we should therefore assume that the price function and all cost functions are time dependent. In Section 6.3 we will investigate special time dependent oligopolies. Section 6.4 and 6.5 introduce nonlinear models and conditions for the stability of equilibria in nonlinear oligopolies.


Equilibrium Point Unit Circle Lyapunov Function Global Stability Time Dependent Process 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Koji Okuguchi
    • 1
  • Ferenc Szidarovszky
    • 2
  1. 1.Department of EconomicsTokyo Metropolitan UniversityMeguro-ku, TokyoJapan
  2. 2.Institute of Mathematics and Computer ScienceUniversity of EconomicsBudapestHungary

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