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