# Strategic Type Spaces

arXiv: https://arxiv.org/abs/2606.08297 · HTML: https://mlsanity.com/paper/2606.08297/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
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- First posted on arXiv 6 Jun 2026.

## Abstract (arXiv)

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.