Perfect Information Games with Upper Semicontinuous Payoffs

  • Authors:
  • Roger A. Purves;William D. Sudderth

  • Affiliations:
  • Statistics Department, University of California, Berkeley, Berkeley, California 94720;School of Statistics, University of Minnesota, Minneapolis, Minnesota 55455

  • Venue:
  • Mathematics of Operations Research
  • Year:
  • 2011

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Abstract

It has been shown that every n-person, perfect information game with no chance moves and bounded, lower semicontinuous payoffs has a subgame perfect ε-equilibrium in pure strategies. Here the same is proved when the payoffs are bounded and upper semicontinuous.