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Analytical solution of $k$th price auction

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  • Martin Mihelich
  • Yan Shu

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.

Suggested Citation

  • Martin Mihelich & Yan Shu, 2019. "Analytical solution of $k$th price auction," Papers 1911.04865, arXiv.org, revised Jun 2020.
  • Handle: RePEc:arx:papers:1911.04865
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    References listed on IDEAS

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