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Translating Extensive Form Games to Open Games with Agency

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arxiv 2105.06763 v2 pith:4VOOVHWQ submitted 2021-05-14 cs.GT cs.MAmath.CT

classification cs.GTcs.MAmath.CT
keywords gamesopenoperatorsagencychoiceextensiveformlack
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We show open games cover extensive form games with both perfect and imperfect information. Doing so forces us to address two current weaknesses in open games: the lack of a notion of player and their agency within open games, and the lack of choice operators. Using the former we construct the latter, and these choice operators subsume previous proposed operators for open games, thereby making progress towards a core, canonical and ergonomic calculus of game operators. Collectively these innovations increase the level of compositionality of open games, and demonstrate their expressiveness.

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  1. Categories of tagged lenses

    math.CT 2026-07 conditional novelty 6.0 of 10

    Tagged lenses form a symmetric monoidal category, and imposing change-dependence or first-last-dependence on tags compositionally entails the getput or putput lens laws.

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