Analytical solution of $k$th price auction

Authors: Martin Mihelich, Yan Shu

10 pages

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.

Submitted to arXiv on 11 Nov. 2019

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