Products of synchronous games
Tom 272 / 2023
Studia Mathematica 272 (2023), 299-317
MSC: Primary 81P45; Secondary 46L89, 91A12.
DOI: 10.4064/sm221201-19-4
Opublikowany online: 10 August 2023
Streszczenie
We show that the -algebra of the product of two synchronous games is the tensor product of the corresponding ^*-algebras. We prove that the product game has a perfect C^*-strategy if and only if each of the individual games does, and that in this case the C^*-algebra of the product game is ^*-isomorphic to the maximal C^*-tensor product of the individual C^*-algebras. We provide examples of synchronous games whose synchronous values are strictly supermultiplicative.
