Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Optimal Risk Sharing Without Preference Convexity: An Aggregate Convexity Approach

We consider the optimal risk sharing problem with a continuum of agents, modeled via a non-atomic measure space. Individual preferences are not assumed to be convex. We show the multiplicity of agents induces the value function to be convex, allowing for the application of convex duality techniques

Lab Rats Math 9 Rigor 1 ·  August 26, 2025

A General Theory of Risk Sharing

We introduce a new paradigm for risk sharing that generalizes earlier models based on discrete agents and extends them to allow for sharing risk within a continuum of agents. Agents are represented by points of a measure space and have potentially heterogeneous risk preferences modeled by risk measu

Lab Rats Math 9 Rigor 1 ·  May 25, 2025

Risk measures on incomplete markets: a new non-solid paradigm

We study risk measures $\varphi:E\longrightarrow\mathbb{R}\cup{\infty}$, where $E$ is a vector space of random variables which a priori has no lattice structure$\unicode{x2014}$a blind spot of the existing risk measures literature. In particular, we address when $\varphi$ admits a tractable dual r

Lab Rats Math 9 Rigor 1 ·  September 8, 2024

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