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Well, Web 2.0 is coming to this concept.
With a hat tip to Josh Halpern, take a look at www.sidetaker.com
You and your spouse can input your version of the argument and let the world vote on it.
I bet the next iteration will have score-keeping, rankings, "best of" and maybe even an NCAA bracket-style tournament.
Like submitting your argument to a "wisdom of the crowds" solution.