The bitcoin script system only really allows by hashing. People have gotten very hyped up about the programmability of the scripting system in Bitcoin, but anything slightly interesting still requires trust in one or more arbitrators.
Another approach might be that everyone playing a game also automatically randomly observes another game somewhere, and their view of what happened is added to the trust calculation.
Could bitcoin be extended to support such a feature it were possible?
DAC stands for distributed autonomous corporation. "Corporation" in this context is a little bit wonky because bitcoin is a DAC. I could see there being both general gambling DACs or specific to poker. It takes a little while to wrap your head around the concept, so I will just give you some reading:
1 - http://letstalkbitcoin.com/dacs-that-spawn-dacs/#.Up0Y9uL3P2...