>Someone can always break the loggerjam by sending the message "I am going to dictate the strategy. Send 'yes' if you agree to this." Since the other party is

>Someone can always break the loggerjam by sending the message "I am going to dictate the strategy. Send 'yes' if you agree to this." Since the other party is just as logical as you, they can send you the same at the same time... By the way, if you think this is an acceptable solution, then there's no need for the whole random colour and strategy thing; just send "The color will be red. Send yes if you agree to this". If you think this is not an acceptable solution, then neither is yours.