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The von Neumann Minimax Theorem and its relatives and a study of externality in on-line auctions

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dc.contributor.author Malekan, Samaneh
dc.date.accessioned 2012-03-30T18:56:42Z
dc.date.available 2012-03-30T18:56:42Z
dc.date.issued 2012-03-30
dc.identifier.uri http://hdl.handle.net/10464/3945
dc.description.abstract This work consists of a theoretical part and an experimental one. The first part provides a simple treatment of the celebrated von Neumann minimax theorem as formulated by Nikaid6 and Sion. It also discusses its relationships with fundamental theorems of convex analysis. The second part is about externality in sponsored search auctions. It shows that in these auctions, advertisers have externality effects on each other which influence their bidding behavior. It proposes Hal R.Varian model and shows how adding externality to this model will affect its properties. In order to have a better understanding of the interaction among advertisers in on-line auctions, it studies the structure of the Google advertisements networ.k and shows that it is a small-world scale-free network. en_US
dc.subject Game theory en_US
dc.subject Auctions en_US
dc.subject Advertising -- Computer network resources en_US
dc.title The von Neumann Minimax Theorem and its relatives and a study of externality in on-line auctions en_US
dc.degree.name M.Sc. Mathematics and Statistics en_US
dc.degree.level Masters en_US
dc.contributor.department Department of Mathematics en_US
dc.degree.discipline Faculty of Mathematics and Science en_US


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