论文标题
关于维克里的收入平均
On Vickrey's Income Averaging
论文作者
论文摘要
我们考虑一小部分用于收入平均的公理 - 递归，连续性和当前的边界条件。这些属性产生独特的平均函数，即反射的布朗运动的密度，随着当前收入开始，并在过去的收入中移动。当简短的过去进行平均时，加权函数渐近地融合到高斯。当平均在长距离上进行平均时，称重函数会收敛到指数分布。对于所有中间平均量表，我们得出了一个明确的解决方案，该解决方案在两者之间插值。
We consider a small set of axioms for income averaging -- recursivity, continuity, and the boundary condition for the present. These properties yield a unique averaging function that is the density of the reflected Brownian motion with a drift started at the current income and moving over the past incomes. When averaging is done over the short past, the weighting function is asymptotically converging to a Gaussian. When averaging is done over the long horizon, the weighing function converges to the exponential distribution. For all intermediate averaging scales, we derive an explicit solution that interpolates between the two.
