That is, either there is a way for player 1 to force a win, or there is a way for player 1 to force a tie, or there is a way for player 2 to force a win. The proof is by induction. Then we formally define and informally discuss both perfect information and strategies in such games. This allows us to find Nash equilibria in sequential games.
Chess and Dissertations
Daniel Simons: How experts recall chess positions
In your dissertation game of chess should you play like a computer or a grandmaster? Most of us would be easily beaten at chess by either Deep Blue or Kasparov. Computers compare lots of potential moves, as many as possible, to determine which will result in the best outcome. The faster the computer, the better this brute-force approach works. People, on the other hand, think abstractly and plan. You see, chess is about way more than just learning how all the pieces move. You need to not only know the rules, but you also need to create a plan for the game based on those rules, and then start moving your pieces in a way that accomplishes this plan.
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Chess Stack Exchange is a question and answer site for serious players and enthusiasts of chess. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. I have recently learned that former chess world champion Tigran Petrosian earned a PhD title from Yerevan State University; the title of his dissertation title was Chess Logic.