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This work derives an approximate analytical single period solution of the portfolio choice problem for the power utility function. It is possible to do so if we consider that the asset returns follow a multivariate normal distribution. It…

Portfolio Management · Quantitative Finance 2021-10-13 Dmytro Ivasiuk

The von Neumann-Morgenstern (VNM) utility theorem shows that under certain axioms of rationality, decision-making is reduced to maximizing the expectation of some utility function. We extend these axioms to increasingly structured…

Artificial Intelligence · Computer Science 2022-06-29 Mehran Shakerinava , Siamak Ravanbakhsh

When it comes to structural estimation of risk preferences from data on choices, random utility models have long been one of the standard research tools in economics. A recent literature has challenged these models, pointing out some…

General Economics · Economics 2024-09-04 Henk Keffert , Nikolaus Schweizer

A salient approach to interpretable machine learning is to restrict modeling to simple models. In the Bayesian framework, this can be pursued by restricting the model structure and prior to favor interpretable models. Fundamentally,…

Machine Learning · Computer Science 2020-09-08 Homayun Afrabandpey , Tomi Peltola , Juho Piironen , Aki Vehtari , Samuel Kaski

We consider an optimal investment-consumption problem for a utility-maximizing investor who has access to assets with different liquidity and whose consumption rate as well as terminal wealth are subject to lower-bound constraints. Assuming…

Mathematical Finance · Quantitative Finance 2025-05-21 Yevhen Havrylenko

Richard Cox [1] set the axiomatic foundations of probable inference and the algebra of propositions. He showed that consistency within these axioms requires certain rules for updating belief. In this paper we use the analogy between…

Artificial Intelligence · Computer Science 2007-05-23 Ali E. Abbas

Recommender systems play a critical role in enhancing user experience by providing personalized suggestions based on user preferences. Traditional approaches often rely on explicit numerical ratings or assume access to fully ranked lists of…

Information Retrieval · Computer Science 2025-08-22 Bahar Boroomand , James R. Wright

This paper is concerned with learning decision makers' preferences using data on observed choices from a finite set of risky alternatives. We propose a discrete choice model with unobserved heterogeneity in consideration sets and in…

Econometrics · Economics 2021-01-07 Levon Barseghyan , Francesca Molinari , Matthew Thirkettle

State-of-the-art multi-objective optimization often assumes a known utility function, learns it interactively, or computes the full Pareto front-each requiring costly expert input.~Real-world problems, however, involve implicit preferences…

Machine Learning · Computer Science 2025-10-01 Farha A. Khan , Tanmay Chakraborty , Jörg P. Dietrich , Christian Wirth

We study the problem of eliciting the preferences of a decision-maker through a moderate number of pairwise comparison queries to make them a high quality recommendation for a specific problem. We are motivated by applications in high…

Optimization and Control · Mathematics 2021-12-09 Phebe Vayanos , Yingxiao Ye , Duncan McElfresh , John Dickerson , Eric Rice

This paper investigates portfolio selection within a continuous-time financial market with regime-switching and beliefs-dependent utilities. The market coefficients and the investor's utility function both depend on the market regime, which…

Optimization and Control · Mathematics 2024-10-23 Xiaochen Chen , Guohui Guan , Zongxia Liang

Consider an investor trading dynamically to maximize expected utility from terminal wealth. Our aim is to study the dependence between her risk aversion and the distribution of the optimal terminal payoff. Economic intuition suggests that…

General Finance · Quantitative Finance 2011-09-15 Mathias Beiglboeck , Johannes Muhle-Karbe , Johannes Temme

Our goal is to extract useful knowledge from demonstrations of behavior in sequential decision-making problems. Although it is well-known that humans commonly engage in risk-sensitive behaviors in the presence of stochasticity, most Inverse…

Machine Learning · Computer Science 2025-05-21 Filippo Lazzati , Alberto Maria Metelli

We state the problem of inverse reinforcement learning in terms of preference elicitation, resulting in a principled (Bayesian) statistical formulation. This generalises previous work on Bayesian inverse reinforcement learning and allows us…

Machine Learning · Statistics 2011-06-30 Constantin Rothkopf , Christos Dimitrakakis

We propose a novel approach to infer investors' risk preferences from their portfolio choices, and then use the implied risk preferences to measure the efficiency of investment portfolios. We analyze a dataset spanning a period of six…

Portfolio Management · Quantitative Finance 2020-10-28 Agostino Capponi , Zhaoyu Zhang

This paper investigates the consumption and risk taking decision of an economic agent with partial irreversibility of consumption decision by formalizing the theory proposed by Duesenberry (1949). The optimal policies exhibit a type of the…

Theoretical Economics · Economics 2018-12-27 Kyoung Jin Choi , Junkee Jeon , Hyeng Keun Koo

We study an optimal investment and consumption problem over a finite-time horizon, in which an individual invests in a risk-free asset and a risky asset, and evaluate utility using a general utility function that exhibits loss aversion with…

Optimization and Control · Mathematics 2025-07-08 Chonghu Guan , Xinfeng Gu , Wenhao Zhang , Xun Li

The exploration-exploitation trade-off is central to the description of adaptive behaviour in fields ranging from machine learning, to biology, to economics. While many approaches have been taken, one approach to solving this trade-off has…

Machine Learning · Computer Science 2021-11-29 Beren Millidge , Anil Seth , Christopher Buckley

We study payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

Computer Science and Game Theory · Computer Science 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

Sharpe et al. proposed the idea of having an expected utility maximizer choose a probability distribution for future wealth as an input to her investment problem instead of a utility function. They developed a computer program, called The…

Portfolio Management · Quantitative Finance 2013-01-08 Phillip Monin
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