0, any version of the game where players make mistakes with small enough probability has a perfect "-equilibrium with outcome close to ω. Unlike stable outcomes (Kohlberg and Mertens, 1986), sequentially stable outcomes exist for all finite games and are sequentially rational. If there is a unique sequentially stable outcome, such an outcome is the unique stable outcome of the game’s agent normal form. Also, sequentially stable outcomes satisfy versions of forward induction, iterated strict equilibrium dominance, and invariance to simultaneous moves. In signaling games, sequentially stable outcomes pass the standard selection criteria, and when payoffs are generic, they coincide with stable outcomes."> 0, any version of the game where players make mistakes with small enough probability has a perfect "-equilibrium with outcome close to ω. Unlike stable outcomes (Kohlberg and Mertens, 1986), sequentially stable outcomes exist for all finite games and are sequentially rational. If there is a unique sequentially stable outcome, such an outcome is the unique stable outcome of the game’s agent normal form. Also, sequentially stable outcomes satisfy versions of forward induction, iterated strict equilibrium dominance, and invariance to simultaneous moves. In signaling games, sequentially stable outcomes pass the standard selection criteria, and when payoffs are generic, they coincide with stable outcomes."> 0, any version of the game where players make mistakes with small e">
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Data Linkage Between Markets: Does Emergence of an Informed Insurer Cause Consumer Harm?

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  • Francesc Dilmé
Abstract
This paper introduces and analyzes sequentially stable outcomes in extensive games. An outcome ω is sequentially stable if for any ε>0, any version of the game where players make mistakes with small enough probability has a perfect "-equilibrium with outcome close to ω. Unlike stable outcomes (Kohlberg and Mertens, 1986), sequentially stable outcomes exist for all finite games and are sequentially rational. If there is a unique sequentially stable outcome, such an outcome is the unique stable outcome of the game’s agent normal form. Also, sequentially stable outcomes satisfy versions of forward induction, iterated strict equilibrium dominance, and invariance to simultaneous moves. In signaling games, sequentially stable outcomes pass the standard selection criteria, and when payoffs are generic, they coincide with stable outcomes.

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  • Francesc Dilmé, 2023. "Data Linkage Between Markets: Does Emergence of an Informed Insurer Cause Consumer Harm?," CRC TR 224 Discussion Paper Series crctr224_2023_463, University of Bonn and University of Mannheim, Germany.
    • Handle: RePEc:bon:boncrc:crctr224_2023_463
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    References listed on IDEAS

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    More about this item

    Keywords

    Sequential stability; stable outcome; signaling games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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