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This paper presents a game theoretic analysis of the generalized second price auction that the company Overture operated in 2004 to sell sponsored search listings on its search engine. The authors present results that indicate that this auction has a multiplicity of Nash equilibria. They also show that weak dominance arguments do not in general select a unique Nash equilibrium. They then analyze bid data assuming that advertisers choose Nash equilibrium bids. They offer some preliminary conclusions about advertisers' true willingness to bid for sponsored search listings. They find that advertisers' true willingness to bid is multi-dimensional and decreasing in listing position.
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