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This paper discusses revenue inequalities, utility equivalence, and a model of competition in auction design in symmetric equilibrium of k-price auctions, <InlineEquation ID="Equ1"> <EquationSource Format="TEX">$k\ge 1$</EquationSource> </InlineEquation>, all in the setup of symmetric independent-private-value auctions. Our recommendation to organizers of auctions is to conduct...</equationsource></inlineequation>
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