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Pseudocontinuity in Optimization and Nonzero-Sum Games

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  • J. Morgan

    (Università di Napoli–Federico II)

  • V. Scalzo

    (Università di Napoli–Federico II)

Abstract

We enlarge the class of sufficient conditions which guarantee, on the one hand, the sequential closedness of set-valued functions defined by minimum points and by social Nash equilibria and, on the other hand, the existence of solutions for MinSup problems, using new classes of functions, called sequentially lower pseudocontinuous and sequentially upper pseudocontinuous functions. Properties and characterizations of such classes are investigated.

Suggested Citation

  • J. Morgan & V. Scalzo, 2004. "Pseudocontinuity in Optimization and Nonzero-Sum Games," Journal of Optimization Theory and Applications, Springer, vol. 120(1), pages 181-197, January.
    • Handle: RePEc:spr:joptap:v:120:y:2004:i:1:d:10.1023_b:jota.0000012738.90889.5b
    DOI: 10.1023/B:JOTA.0000012738.90889.5b
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    References listed on IDEAS

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    1. Tian, Guoqiang & Zhou, Jianxin, 1995. "Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 281-303.
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    Cited by:

    1. Morgan, Jacqueline & Scalzo, Vincenzo, 2007. "Pseudocontinuous functions and existence of Nash equilibria," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 174-183, February.
    2. Jacqueline Morgan & Vincenzo Scalzo, 2007. "Asymptotical behavior of finite and possible discontinuous economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 407-412, November.
    3. L. Q. Anh & P. Q. Khanh & D. T. M. Van, 2012. "Well-Posedness Under Relaxed Semicontinuity for Bilevel Equilibrium and Optimization Problems with Equilibrium Constraints," Journal of Optimization Theory and Applications, Springer, vol. 153(1), pages 42-59, April.
    4. Federico Quartieri, 2022. "On the Existence of Greatest Elements and Maximizers," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 375-389, November.

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