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A remark on topological robustness to bounded rationality in semialgebraic models

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  • Miyazaki, Yusuke

Abstract

In this short note, we show that the compact semialgebraic class of Anderlini and Canning (2001) is topologically robust, i.e. the topological properties of the equilibrium set are preserved, deviating parameter values and introducing a small amount of bounded rationality.

Suggested Citation

  • Miyazaki, Yusuke, 2014. "A remark on topological robustness to bounded rationality in semialgebraic models," Journal of Mathematical Economics, Elsevier, vol. 55(C), pages 33-35.
    • Handle: RePEc:eee:mateco:v:55:y:2014:i:c:p:33-35
    DOI: 10.1016/j.jmateco.2014.09.008
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    References listed on IDEAS

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    1. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-794, July.
    2. Anderlini, Luca & Canning, David, 2001. "Structural Stability Implies Robustness to Bounded Rationality," Journal of Economic Theory, Elsevier, vol. 101(2), pages 395-422, December.
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    Cited by:

    1. Yu, Jian & Yang, Zhe & Wang, Neng-Fa, 2016. "Further results on structural stability and robustness to bounded rationality," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 49-53.
    2. Jian-ping Tian & Wen-sheng Jia & Li Zhou, 2024. "Existence and Stability of Fuzzy Slightly Altruistic Equilibrium for a Class of Generalized Multiobjective Fuzzy Games," Journal of Optimization Theory and Applications, Springer, vol. 203(1), pages 111-125, October.

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