Comments on: Isner and Mahut in a prisoners dilemma

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By: donaldkagan

donaldkagan — Thu, 24 Jun 2010 04:47:19 +0000

Anything for a Rothschild.

By: danrothschild

danrothschild — Thu, 24 Jun 2010 01:21:07 +0000

Donald,

I thought about that before I posted, and I dashed the post off without thinking too much about it. My thought was that both players going into a first round match were eyeing a big prize at the end, and intermediate prizes as relatively insignificant. As it exists under the current rules T > R, because T is some expected value of the utility of winning the tournament (not this round), and R is nothing. P and S are also nothing. So T > R >= P >= S (that was how I was thinking about it); you're right, that's not technically a prisoners dilemma. I was thinking that the only way to "win" is to win the tournament, and the only way to win the tournament is to constrain play in early rounds.

I was mostly interested in thinking about what rules might lead to more efficient outcomes in the future. And I dashed off my post without fully thinking it through (this is, after all, a blog). Thanks for correcting me.

By: Aaron Merrill

Aaron Merrill — Thu, 24 Jun 2010 01:04:03 +0000

Actually, advancing even one round can have a monetary advantage. Payouts increase every round. http://wiki.answers.com/Q/What_is_the_wimbledon...

Point taken though.