Papers, ranked by score

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

Risk Sharing with Deep Neural Networks

We consider the problem of optimally sharing a financial position among agents with potentially different reference risk measures. The problem is equivalent to computing the infimal convolution of the risk metrics and finding the so-called optimal allocations. We propose a neural network-based frame

Lab Rats Math 8.5 Rigor 4 ·  December 22, 2022

Are Shortfall Systemic Risk Measures One Dimensional?

Shortfall systemic (multivariate) risk measures $ρ$ defined through an $N$-dimensional multivariate utility function $U$ and random allocations can be represented as classical (one dimensional) shortfall risk measures associated to an explicitly determined $1$-dimensional function constructed from $

Lab Rats Math 8.5 Rigor 2 ·  June 19, 2023

Collective Arbitrage and the Value of Cooperation

We introduce the notions of Collective Arbitrage and of Collective Super-replication in a discrete-time setting where agents are investing in their markets and are allowed to cooperate through exchanges. We accordingly establish versions of the fundamental theorem of asset pricing and of the pricing

Lab Rats Math 8 Rigor 2 ·  June 20, 2023

When cooperation is beneficial to all agents

Within a general semimartingale framework, we study the relationship between collective market efficiency and individual rationality. We derive a necessary and sufficient condition for the existence of (possibly zero-sum) exchanges among agents that strictly increase their indirect utilities and cha

Lab Rats Math 8.5 Rigor 1.5 ·  April 3, 2026

Collective completeness and pricing hedging duality

This paper builds on “Collective Arbitrage and the Value of Cooperation” by Biagini et al. (2025, forthcoming in “Finance and Stochastics”), which introduced in discrete time the notions of collective arbitrage and super-replication in a multi-agent market framework, where agents may operate in seve

Lab Rats Math 8.5 Rigor 1.5 ·  March 18, 2025

On conditioning and consistency for nonlinear functionals

We consider a family of conditional nonlinear expectations defined on the space of bounded random variables and indexed by the class of all the sub-sigma-algebras of a given underlying sigma-algebra. We show that if this family satisfies a natural consistency property, then it collapses to a conditi

Lab Rats Math 8.5 Rigor 1 ·  January 17, 2024

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