Rock-Paper-Scissors; A New and Elegant Proof
AbstractI provide an elegant proof identifying the unique mixed Nash equilibrium of the Rock-Paper-Scissors game. The proof is based on intuition rather than elimination of cases. It shows that for any mixed strategy other than the one that puts equal probability on each of a player’s actions, it holds that this strategy is not a best response to any mixed strategy that is a best response to it.
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Bibliographic InfoPaper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 1003.
Length: 8 pages
Date of creation: 2007
Date of revision:
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Postal: Department of Economics, The University of Melbourne, 5th Floor, Economics and Commerce Building, Victoria, 3010, Australia
Phone: +61 3 8344 5289
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Web page: http://www.economics.unimelb.edu.au
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- Eric Bahel & Hans Haller, 2012.
"Cycles with Undistinguished Actions and Extended Rock-Paper-Scissors Games,"
e07-34, Virginia Polytechnic Institute and State University, Department of Economics.
- Bahel, Eric & Haller, Hans, 2013. "Cycles with undistinguished actions and extended Rock–Paper–Scissors games," Economics Letters, Elsevier, vol. 120(3), pages 588-591.
- Eric Bahel, 2011.
"Rock-Paper-Scissors and Cycle-Based Games,"
e07-31, Virginia Polytechnic Institute and State University, Department of Economics.
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