A princess story

Kristian Lum explores the consequences of a novel probabilistic model of dating:

Let there be n princes in the pool, the ith of whom has utility to the princess pi. pi is determined by the prince's covariates xi linearly such that pi = si β where β is unknown to the princess. After having sampled prince i, she reads his utility to her centered at his true utility but with variance σ2/ti, where ti is the length of her relationship with prince i

The punch line has an optimal dating strategy and some awesome graphs. Read the entire post to learn more about better living through computer simulation.