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Mixed Solutions for Weak Stackelberg Problems: Existence and Stability Results

Author

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  • A. Marhfour

    (Ecole Nationale d'Agriculture)

Abstract

We are concerned with ∈-mixed solutions for weak Stackelberg problems corresponding to two-player nonzero-sum noncooperative games. Two cases are considered: (i) mixed strategies for only the second player; (ii) mixed strategies for both players. After giving basic results relating convergence of functions and weak convergence of probability measures, we establish existence and stability results for ∈-mixed solutions under general assumptions of minimal character without any convexity assumption. Our results improve previous work of Mallozzi and Morgan (Refs. 1–2).

Suggested Citation

  • A. Marhfour, 2000. "Mixed Solutions for Weak Stackelberg Problems: Existence and Stability Results," Journal of Optimization Theory and Applications, Springer, vol. 105(2), pages 417-440, May.
    • Handle: RePEc:spr:joptap:v:105:y:2000:i:2:d:10.1023_a:1004618103646
    DOI: 10.1023/A:1004618103646
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    Cited by:

    1. Alberto Bressan & Yilun Jiang, 2019. "On the Generic Structure and Stability of Stackelberg Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 183(3), pages 840-880, December.

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