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Game theory: mathematical fundaments and examples of applications
1997 (English)Independent thesis Advanced level (degree of Master (One Year)), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This paper treats the mathematical fundaments of Game Theory. After an introduction where Game Theory is sketched in rough lines, the two most common solution concepts, Nash equilibrium and minimax solution, is presented. The paper makes a profound investigation of the mathematics needed to prove the two main theoremes in Game Theory. The proofs are built on the Kakutani fixed point theorem and Brouwer fixed point theorem. The mathematical fields that are treated are fixed point theory, topology and functional analysis. The paper is concluded with three examples of game theoretic applications.

Place, publisher, year, edition, pages
Keyword [en]
Physics Chemistry Maths, Mathematics, Game Theory, Fixed Point Theory, Topology, Mathematical Economics, Evolution
Keyword [sv]
Fysik, Kemi, Matematik
URN: urn:nbn:se:ltu:diva-54969ISRN: LTU-C/DUPP--97/02--SELocal ID: be3445ae-09db-47e8-9d7f-8c52062fce62OAI: diva2:1028350
Subject / course
Student thesis, at least 15 credits
Educational program
Mathematics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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