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Analytical solution of $k$th price auction

Theoretical Economics 2020-06-22 v2 General Economics Economics

Abstract

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

Cite

@article{arxiv.1911.04865,
  title  = {Analytical solution of $k$th price auction},
  author = {Martin Mihelich and Yan Shu},
  journal= {arXiv preprint arXiv:1911.04865},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T12:13:00.348Z