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Aspatial Stackelberg Nash Cournot Equilibria

  • Tan C. Miller
  • Terry L. Friesz
  • Roger L. Tobin
Part of the Advances in Spatial and Network Economics book series (ADVS ECONOMICS)

Abstract

In this chapter, we review a Stackelberg-Nash-Cournot equilibrium problem applied to one market. This will help set a foundation for the review of multi-market spatial equilibria later in this book. Further, by focusing on a one market, non-locational problem, we can develop insights into the properties of market equilibria problems such as the curvature of the revenue function in a Stackelberg-Nash-Cournot model and issues regarding the uniqueness of solutions to this problem. In a multi-market model with locational decisions included, these properties become more difficult to illustrate. Additionally, the one market model serves to illustrate how market equilibria problems are amenable to formulation and solution by nonlinear complementarity techniques as well as variational inequalities. Finally, this chapter provides an important first glimpse of the role which sensitivity analysis can play in market equilibria models.

Keywords

Equilibrium Problem Profit Function Price Function Nonlinear Complementarity Problem Sensitivity Analysis Result 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Tan C. Miller
    • 1
  • Terry L. Friesz
    • 2
  • Roger L. Tobin
    • 3
  1. 1.Warner-Lambert CompanyMorris PlainsUSA
  2. 2.Department of Systems Engineering Science and Technology II BuildingGeorge Mason UniversityFairfaxUSA
  3. 3.GTE Laboratories IncorporatedWalthamUSA

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