Kuhn's Equivalence Theorem for Games in Product Form - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail 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.
Fichier principal
Vignette du fichier
preprint_v3_Witsenhausen_Kuhn.pdf (398.42 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

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

Identifiants

Citer

Benjamin Heymann, Michel de Lara, Jean-Philippe Chancelier. Kuhn's Equivalence Theorem for Games in Product Form. 2022. ⟨hal-03193448v2⟩
95 Consultations
92 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More