Nice presentation. Indeed it seems that there is no strategy ... I have tried a lot to find one, but I gave up. I have tried with chomps of max size 3x3 (squares or rectangles) and I could always win. Yet, I still could not formulate a strategy. However, I suppose there is one, because playing Philip Brocoum's Munch 5x6, an excellent version of Chomp game, the computer *always wins* if the human plays (always first) with no winning strategy. (How can one have a strategy there cannot be any?) However, the computer/Brocoum seems to have some kind strategy! Unfortunately, I could not find Brocoum's email anywhere. Maybe you can contact him? He might have some interesting data to share ...