Article Dans Une Revue Games and Economic Behavior Année : 2022

Kuhn's Equivalence Theorem for Games in Product Form

Résumé

We propose an alternative to the tree representation of extensive form games. Games in product form represent information with σ-fields over a product set, and do not require an explicit description of the play temporality, as opposed to extensive form games on trees. This representation encompasses games with a continuum of actions, randomness and players, as well as games for which the play order cannot be determined in advance. We adapt and prove Kuhn's theorem-regarding equivalence between mixed and behavioral strategies under perfect recall-for games in product form with continuous action sets.

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Dates et versions

hal-03193448 , version 1 (09-04-2021)
hal-03193448 , version 2 (12-07-2022)

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Benjamin Heymann, Michel de Lara, Jean-Philippe Chancelier. Kuhn's Equivalence Theorem for Games in Product Form. Games and Economic Behavior, 2022, 135, pp.220-240. ⟨10.1016/j.geb.2022.06.006⟩. ⟨hal-03193448v2⟩
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