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Topological games at Princeton, a mathematical memoir

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  • Gale, David

Abstract

The games of the title are "Nash" (or Hex), "Milnor" (or Y), "Shapley" (or Projective Plane) and "Gale" (or Bridg-It) all of which were discovered (or re-discovered) in Princeton in 1948-1949. After giving the basic topological connections, I will discuss more recent ramifications related to computational complexity theory. A recurrent theme will be non-constructive proofs, or how we can know something can be done without having the slightest idea of how to do it.

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  • Gale, David, 2009. "Topological games at Princeton, a mathematical memoir," Games and Economic Behavior, Elsevier, vol. 66(2), pages 647-656, July.
  • Handle: RePEc:eee:gamebe:v:66:y:2009:i:2:p:647-656
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    Cited by:

    1. Marco LiCalzi, 2022. "Bipartite choices," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(2), pages 551-568, December.
    2. Sobel, Joel, 2009. "ReGale: Some memorable results," Games and Economic Behavior, Elsevier, vol. 66(2), pages 632-642, July.

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