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Analytical solution of $k$th price auction

Martin Mihelich and Yan Shu

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Abstract: We provide an exact analytical solution of the Nash equilibrium for the $k$th price auction by using inverse of distribution functions. As applications, we identify the unique symmetric equilibrium where the valuations have polynomial distribution, fat tail distribution and exponential distributions.

Date: 2019-11, Revised 2020-06
New Economics Papers: this item is included in nep-des and nep-gth
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