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Conditional Dominance in Games with Unawareness

Author

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  • Burkhard C. Schipper

    (Department of Economics, University of California Davis)

Abstract

Heifetz, Meier, and Schipper (2013) introduced dynamic games with unawareness consisting of a partially ordered set of games in extensive form. Here, we study the normal form of dynamic games with unawareness. The generalized normal form associated with a dynamic game with unawareness consists of a partially ordered set of games in normal form. We characterize strong rationalizability (resp., prudent rationalizability) in dynamic games with unawareness by iterated conditional strict (resp., weak) dominance in the associated generalized normal form. We also show that the analogue to iterated admissibility for dynamic games with unawareness depends on the extensive form. This is because, under unawareness, a player's information set not only determines which nodes she considers possible but also which game tree(s) she is aware of.

Suggested Citation

  • Burkhard C. Schipper, 2026. "Conditional Dominance in Games with Unawareness," Working Papers 380, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:380
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    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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