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Strategic Type Spaces

arxiv.org/abs/2606.08297

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Updated 7 h ago · first seen 11 Sept 2026

paper_01M294G6M1CKA2WP7KNDS5G00Y

Published
11 Sept 2026
T1 · 7 h ago
arXiv
2606.08297
T1 · 7 h ago
Category
econ.TH
T1 · 7 h ago

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9 claims · 9 properties

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https://arxiv.org/abs/2606.08297currentcurrentarXiv (Atom API + RSS)T1highdeterministic

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-cross 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.currentcurrentarXiv (Atom API + RSS)T1highdeterministic

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replacecurrentcurrentarXiv (Atom API + RSS)T1highdeterministic

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2606.08297currentcurrentarXiv (Atom API + RSS)T1highdeterministic

Authorsauthors1

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Olivier Gossner, Rafael VeielcurrentcurrentarXiv (Atom API + RSS)T1highdeterministic

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econ.TH, cs.CLcurrentcurrentarXiv (Atom API + RSS)T1highdeterministic

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https://arxiv.org/pdf/2606.08297currentcurrentarXiv (Atom API + RSS)T1highdeterministic

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econ.THcurrentcurrentarXiv (Atom API + RSS)T1highdeterministic

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11 Sept 2026currentcurrentarXiv (Atom API + RSS)T1highdeterministic

Claims are temporal and append-only: a new observation closes the previous claim (valid_to) instead of overwriting it. Conflicting claims from different sources are kept side by side and flagged — never averaged. Methodology →