Title
A Bridge between Polynomial Optimization and Games with Imperfect Recall
Abstract
We provide several positive and negative complexity results for solving games with imperfect recall. Using a one-to-one correspondence between these games on one side and multivariate polynomials on the other side, we show that solving games with imperfect recall is as hard as solving certain problems of the first order theory of reals. We establish square root sum hardness even for the specific class of A-loss games. On the positive side, we find restrictions on games and strategies motivated by Bridge bidding that give polynomial-time complexity.
Year
DOI
Venue
2020
10.5555/3398761.3398818
AAMAS '19: International Conference on Autonomous Agents and Multiagent Systems Auckland New Zealand May, 2020
DocType
ISBN
Citations 
Conference
978-1-4503-7518-4
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Hugo Gimbert124921.31
Soumyajit Paul200.34
B. Srivathsan3395.90