arXiv subjects

Peter Norman

Publications and source records attributed to Peter Norman.

2 recordsLinked to original sources

arXiv2020

A Search Model of Statistical Discrimination

We offer a search-theoretic model of statistical discrimination, in which firms treat identical groups unequally based on their occupational choices. The model admits symmetric equilibria in which the group characteristic is ignored, but also asymmetric equilibria in which a group is statistically discriminated against, even when symmetric equilibria are unique. Moreover, a robust possibility is that symmetric equilibria become unstable when the group characteristic is introduced. Unlike most previous literature, our model can justify affirmative action since it eliminates asymmetric equilibria without distorting incentives.

econ.TH↗

arXiv2008

Local monodromy of p-divisible groups

A $p$-divisible group over a field $K$ admits a slope decomposition; associated to each slope $λ$ is an integer $m$ and a representation $\gal(K) \ra \gl_m(D_λ)$, where $D_λ$ is the $\rat_p$-division algebra with Brauer invariant $[λ]$. We call $m$ the multiplicity of $λ$ in the $p$-divisible group. Let $G_0$ be a $p$-divisible group over a field $k$. Suppose that $λ$ is not a slope of $G_0$, but that there exists a deformation of $G$ in which $λ$ appears with multiplicity one. Assume that $λ\not= (s-1)/s$ for any natural number $s>1$. We show that there exists a deformation $G/R$ of $G_0/k$ such that the representation $\gal(\Frac R) \ra \gl_1(D_λ)$ has large image.

math.NT↗