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Robustness Against Indirect Invasions in Asymmetric Games with Continuous Strategy Spaces

Author

Listed:
  • Aradhana Narang

    (Department of Mathematics, JIIT, Sector-62, Noida 201309, India)

  • A. J. Shaiju

    (Department of Mathematics, IIT Madras, Chennai 600036, India)

Abstract

Strategies which are robust against indirect invasions (RAII) have been studied in the literature for symmetric games. In this paper, we introduce the notion of RAII profiles for asymmetric games with continuous strategy spaces. For these games, we prove that the set of all indirect neutral mutants of a RAII profile is equivalent to a minimal evolutionarily stable set. Furthermore, globally strong uninvadable profiles are shown to be RAII profiles. We also discuss connections between evolutionarily stable sets and strict equilibrium sets of profiles.

Suggested Citation

  • Aradhana Narang & A. J. Shaiju, 2023. "Robustness Against Indirect Invasions in Asymmetric Games with Continuous Strategy Spaces," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 25(04), pages 1-16, December.
    • Handle: RePEc:wsi:igtrxx:v:25:y:2023:i:04:n:s0219198923500123
    DOI: 10.1142/S0219198923500123
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