Papers, ranked by score

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

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 consistency of optimal portfolio choice for state-dependent exponential utilities

In an arbitrage-free simple market, we demonstrate that for a class of state-dependent exponential utilities, there exists a unique prediction of the random risk aversion that ensures the consistency of optimal strategies across any time horizon. Our solution aligns with the theory of forward perfor

Lab Rats Math 8.5 Rigor 1.5 ·  January 3, 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

The birth of (a robust) Arbitrage Theory in de Finetti's early contributions

\textit{Il significato soggettivo della probabilità} (1931) by B. de Finetti \cite{deF} is unanimously considered the rise of `subjectivism’, a notion which strongly influenced both Probability and Decision Theory. What is less acknowledge is that \cite{deF} posed the foundations of modern arbitrage

Philosophers ·  October 11, 2023

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