Analytical solution of kth price auction

2019/11/11 by Mihelich, Martin, Shu, Yan
#FOS: Economics and business #General Economics (econ.GN) #Theoretical Economics (econ.TH)

paper · doi:10.48550/arxiv.1911.04865

Abstract

We provide an exact analytical solution of the Nash equilibrium for the kth 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.

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