Minimax games, spin glasses, and the polynomial-time hierarchy of complexity classes
Abstract
We use the negative replica method, which was originally developed for the study of overfrustation in disordered systems, to investigate the statistical behavior of the cost function of minimax games. These games are treated as hierarchical statistical mechanical systems, in which one of the components is at negative temperature.
- Publication:
-
Physical Review E
- Pub Date:
- June 1998
- DOI:
- 10.1103/PhysRevE.57.6487
- Bibcode:
- 1998PhRvE..57.6487V
- Keywords:
-
- 64.60.Cn;
- 61.43.Fs;
- 05.20.-y;
- 05.50.+q;
- Order-disorder transformations;
- statistical mechanics of model systems;
- Glasses;
- Classical statistical mechanics;
- Lattice theory and statistics