Competition Adds Complexity

It is known that determinining whether a DEC-POMDP, namely, a cooperative partially observable stochastic game (POSG), has a cooperative strategy with positive expected reward is complete for NEXP. It was not known until now how cooperation affected that complexity. We show that, for competitive POSGs, the complexity of determining whether one team has a positive-expected-reward strategy is complete for NEXPNP.

• Type: Conference
• Year: 2007
• Where: NIPS
• Authors: Judy Goldsmith, Martin Mundhenk
• Keywords: Cooperative Strategy, Information Technology, NIPS 2007, Observable Stochastic Game, Positive Expected Reward