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Nash Equilibrium

  • Luis C. Corchón
Chapter

Abstract

Games and aggregative games. Characterization of games with strategic substitutes (Proposition 1.1). Existence (Proposition 1.2), uniqueness (Proposition 1.3), inefficiency (Proposition 1.4) and stability (Propositions 1.5–6) of Nash Equilibrium in aggregative games with strategic substitutes. Characterization of games with strategic complements (Proposition 1.7). Existence (Proposition 1.8), uniqueness (Proposition 1.9), inefficiency (Proposition 1.10) and stability (Proposition 1.11) of Nash Equilibrium in games with strategic complements. Appendix: Further results on the stability of Nash Equilibrium (Propositions 1.12–14).

Keywords

Nash Equilibrium Demand Function Payoff Function Reply Dynamic Payoff Maximization 
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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Additional References

  1. FRIEDMAN, J. (1977). Oligopoly and the Theory of Games. North Holland. Amsterdam, New York and Oxford.Google Scholar
  2. MC MANUS, M. (1962). “Numbers and Size in Cournot Oligopoly”. Yorkshire Bull 14, pp. 14–22.CrossRefGoogle Scholar
  3. MC MANUS, M. (1964). “Equilibrium, Numbers and Size in Cournot Oligopoly”. Yorkshire Bull 16, pp. 68–75.CrossRefGoogle Scholar
  4. BAMON, R., and FRAYSSE, J. (1985). “Existence of Cournot Equilibrium in Large Markets”. Econometrica 53, pp. 587–597.CrossRefGoogle Scholar
  5. NOVSHEK, W. (1985). “On the Existence of Cournot Equilibrium”. Review of Economic Studies 52, pp. 85–98.CrossRefGoogle Scholar
  6. KUKUSHKIN, N.S. (1994). “A Fixed-Point Theorem for Decreasing Mappings”. Economics Letters, 46, pp. 23–26.CrossRefGoogle Scholar
  7. VIVES, X. (1990). “Nash Equilibrium with Strategic Complementarities”. Journal of Mathematical Economics 19, pp. 305–321.CrossRefGoogle Scholar
  8. TOPKIS, D. (1979). “Equilibrium Points in Nonzero-Sum n-Person Submodular Games”. SIAM Journal of Control and Optimization 17, pp. 773–787.CrossRefGoogle Scholar
  9. BULOW, J., GEANAKOPLOS, J.and KLEMPERER, R (1985). “Multimarket Oligopoly: Strategic Substitutes and Complements”. Journal of Political Economy 93, pp. 488–511.CrossRefGoogle Scholar
  10. MILGROM, P. and ROBERTS, J. (1990). “Rationalizability, Learning and Equilibrium in Games with Strategic Cornplementarities”. Econometrica 58, 6, pp. 1255–1277.CrossRefGoogle Scholar
  11. ROBERTS, J. and SONNENSCHEIN, H. (1977). “On the Foundations of the Theory of Monopolistic Competition”. Econometrica 45, pp. 101–113.CrossRefGoogle Scholar
  12. WATTS, A. (1996). “On the Uniqueness of Equilibrium in Cournot Oligopoly and other Games”. Games and economic Behavior 13, 2, pp. 269–285.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Luis C. Corchón
    • 1
  1. 1.Department of EconomicsUniversity of Madrid “Carlos III”Getafe, MadridSpain

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