From a pure statistical point of view (disregarding a very good point of the designing of such plays and showing your hand perhaps unnecessarily), one should consider how going for 2 after all touchdowns changes the probability of victory, while also examining the change in variance. It seems to...
I would go with 2 periods of 5(or whatever) minutes, each team kicking off at the beggining of each period. Whoever scores more points gets the win. A tie is a tie then.
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