I wonder if the goals of Chess and Aikido are diametrically opposed.
In Chess we have a period of time to analyze the position in as much depth as possible and respond accordingly.
In Aikido you are searching for the state of Mu - there should be no analysis of your opponent just the response.
The analogy is good fun though. How about the use of go no sen, sen no sen and sen sen no sen. In the latter context both Aikido and Chess is a profoundly mental game since you are trying to understand what your opponent will do before he does it. Reading his mind (intent).