Sperner's Lemma Implies Kakutani's Fixed Point Theorem
Kakutani’s fixed point theorem has many applications in economics and game theory. One of its most well known applications is in John Nash’s paper [8], where the theorem is used to prove the existence of an equilibrium strategy in n-person games. Sperner’s lemma, on the other hand, is a combinatoria...
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Scholarship @ Claremont
2008
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| Online Access: | https://scholarship.claremont.edu/hmc_theses/214 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1217&context=hmc_theses |