28 papers
Two Moments for Risk-Monotone Additive Statistics
Mark Whitmeyer
Every statistic on laws with finite pth moment that is additive across independent risks and monotone in mean-preserving spreads depends only on an additive function of the mean wh…
There Ain't No Such Thing as a Free Equilibrium
Mark Whitmeyer
I argue that there is a sense in which universal equilibrium (defined loosely) existence in games is incompatible with eschewing strictly dominated strategies and a sense in which…
Agreement and Diversity in Interpretation
Francesco Bilotta, Luca Braghieri, Collin Raymond +1
We study joint decision-making when agents agree on all primitives other than signal likelihoods. We propose a decision-theoretic measure of interpretive disagreement: a pair of su…
By Law, Every Zero-Mean Risk Is the Difference of Two Equally Distributed Risks
Mark Whitmeyer
We prove that every mean-zero probability law on the real line is the law of X-Y for some identically distributed real-valued random variables X and Y.
Multidimensional Risk Made Easy
Mark Whitmeyer
Suppose we want to assign a certainty equivalent--one number--to a multivariate risk. Which such assignments are law-invariant, monotone with respect to vector stochastic dominance…
What to Expect When You're Expecting
Mark Whitmeyer
The marginal degree of sums in dimension \(n\) is the smallest integer \(k\) such that the joint distributions of all subcollections of at most \(k\) coordinates of a real-valued r…