Ex ante versus ex post equilibria in classical Bayesian games with a nonlocal resource
Abstract
We analyze the difference between ex ante and ex post equilibria in classical games played with the assistance of a nonlocal (quantum or no-signaling) resource. In physics, the playing of these games is known as performing bipartite Bell-type experiments. By analyzing the Clauser-Horn-Shimony-Holt game, we find a constructive procedure to find two-person Bayesian games with a nonlocal (i.e., no-signaling, and, in many cases, quantum) advantage. Most games of this kind known from the literature can be constructed along this principle, and share the property that their relevant ex ante equilibria are ex post equilibria as well. We introduce here a different type of game, based on the Bell theorem by Vértesi and Bene, which does not have the latter property: The ex ante and ex post equilibria differ.
- Publication:
-
Physical Review A
- Pub Date:
- June 2020
- DOI:
- 10.1103/PhysRevA.101.062115
- arXiv:
- arXiv:2005.12727
- Bibcode:
- 2020PhRvA.101f2115K
- Keywords:
-
- Quantum Physics
- E-Print:
- 6 pages, 6 tables