Sounds like it works to me, except that the lack of the actual coin flip introduces an interesting psychological element -- it's kind of like rock-paper-scissor

Sounds like it works to me, except that the lack of the actual coin flip introduces an interesting psychological element -- it's kind of like rock-paper-scissors. Two people say "heads" or "tails", and person A wins if they are the same, else B. You can be thinking things like "he usually says 'heads', but maybe he'll try to psyche me out..."