Papers, ranked by score

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

On the existence of personal equilibria

We consider an investor who, while maximizing his/her expected utility, also compares the outcome to a reference entity. We recall the notion of personal equilibrium and show that, in a multistep, generically incomplete financial market model such an equilibrium indeed exists, under appropriate tech

Lab Rats Math 8.5 Rigor 2 ·  December 9, 2025

Strategies with minimal norm are optimal for expected utility maximization under high model ambiguity

We investigate an expected utility maximization problem under model uncertainty in a one-period financial market. We capture model uncertainty by replacing the baseline model $\mathbb{P}$ with an adverse choice from a Wasserstein ball of radius $k$ around $\mathbb{P}$ in the space of probability mea

Lab Rats Math 8.5 Rigor 2 ·  June 2, 2023

Nonconcave Robust Utility Maximization under Projective Determinacy

We study a general robust utility maximization problem in a discrete-time frictionless market. The investor is assumed to have a possibly infinite, random, nonconcave, and nondecreasing utility function defined on the whole real line. She also faces model ambiguity on her beliefs about the market, w

Lab Rats Math 9.5 Rigor 1 ·  March 18, 2024

Robust No-Arbitrage under Projective Determinacy

Drawing on set theory, this paper contributes to a deeper understanding of the structural condition of mathematical finance under Knightian uncertainty. We adopt a projective framework in which all components of the model – prices, priors and trading strategies – are treated uniformly in terms of

Lab Rats Math 9 Rigor 1 ·  March 31, 2025

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