Tools

Hans Peters

Chapter 22 in Game Theory, 2015, pp 389-402 from Springer

Abstract: Abstract This chapter collects some mathematical tools used in this book: (direct) convex separation results in Sects. 22.2 and 22.6; Lemmas of the Alternative, in particular Farkas’ Lemma in Sect. 22.3; the Linear Duality Theorem in Sect. 22.4; the Brouwer and Kakutani Fixed Point Theorems in Sect. 22.5; the Krein–Milman Theorem and the Birkhoff–von Neumann Theorem in Sect. 22.6; and the Max Flow Min Cut Theorem of Ford and Fulkerson in Sect. 22.7.

Keywords: Extreme Point; Duality Theorem; Affine Subspace; Convex Separation; Capacitate Network (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/978-3-662-46950-7_22

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