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Existence of solutions of games with some non-convexity

Abstract

Some inf-sup and saddle point theorems are proved for functionsf: X×Y → IR (=reals). The general theorems weaken some of the convexity conditions that are usually imposed onX, Y, andf. Some special cases are considered — these results impose some convexity in the hypotheses but still treat situations not covered by classical theorems.

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Research partially supported by a grant from the University of Kansas.

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McClendon, J.F. Existence of solutions of games with some non-convexity. Int J Game Theory 15, 155–162 (1986). https://doi.org/10.1007/BF01769255

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Keywords

  • Economic Theory
  • Game Theory
  • Saddle Point
  • Point Theorem
  • General Theorem