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Order independence for rationalizability

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  • Manili, Julien

Abstract

This paper provides a sufficient monotonicity condition for the solution of a rationalizability procedure to be independent of the order of elimination. The analysis unfolds in an abstract environment that applies to any game and elimination procedure. Monotonicity is satisfied by rationalizability procedures based on monotone belief operators, such as “directed” rationalizability, interim correlated rationalizability, or, in sequential games, initial and backwards rationalizability.

Suggested Citation

  • Manili, Julien, 2024. "Order independence for rationalizability," Games and Economic Behavior, Elsevier, vol. 143(C), pages 152-160.
    • Handle: RePEc:eee:gamebe:v:143:y:2024:i:c:p:152-160
    DOI: 10.1016/j.geb.2023.11.013
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