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Strategic Type Spaces

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  • Olivier Gossner
  • Rafael Veiel

Abstract

We provide a strategic foundation for information: in any given game with incomplete information we define strategic quotients as information representations that are sufficient for players to compute best-responses to other players. We prove 1/ existence and essential uniqueness of a minimal strategic quotient called the Strategic Type Space (STS) in which a type is given by an interim correlated rationalizability hierarchy and represents a set of beliefs over other players' types and nature that rationalize this hierarchy and 2/ that the minimal STS has a recursive structure that is captured by a finite automaton.

Suggested Citation

  • Olivier Gossner & Rafael Veiel, 2026. "Strategic Type Spaces," Papers 2606.08297, arXiv.org.
    • Handle: RePEc:arx:papers:2606.08297
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    File URL: http://arxiv.org/pdf/2606.08297
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