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We provide easily verifiable conditions for the well-posedness of the optimal investment problem for a behavioral investor in an incomplete discrete-time multiperiod financial market model, for the first time in the literature. Under two…

Portfolio Management · Quantitative Finance 2012-10-03 Laurence Carassus , Miklos Rasonyi

This paper investigates the problem of maximizing expected terminal utility in a discrete-time financial market model with a finite horizon under non-dominated model uncertainty. We use a dynamic programming framework together with…

Mathematical Finance · Quantitative Finance 2017-10-03 Laurence Carassus , Romain Blanchard

We study the Merton portfolio management problem within a complete market, non constant time discount rate and general utility framework. The non constant discount rate introduces time inconsistency which can be solved by introducing sub…

Portfolio Management · Quantitative Finance 2026-02-23 Oumar Mbodji

We propose a model of two-way selection system. It appears in the processes like choosing a mate between men and women, making contracts between job hunters and recruiters, and trading between buyers and sellers. In this paper, we propose a…

General Physics · Physics 2015-02-20 Bin Zhou , Shujia Qin , Xiao-Pu Han , Zhe He , Jia-Rong Xie , Bing-Hong Wang

Matrix completion is a modern missing data problem where both the missing structure and the underlying parameter are high dimensional. Although missing structure is a key component to any missing data problems, existing matrix completion…

Machine Learning · Statistics 2020-03-23 Xiaojun Mao , Raymond K. W. Wong , Song Xi Chen

Reciprocating interactions represent a central feature of all human exchanges. They have been the target of various recent experiments, with healthy participants and psychiatric populations engaging as dyads in multi-round exchanges such as…

Machine Learning · Statistics 2015-06-23 Andreas Hula , P. Read Montague , Peter Dayan

Decision maker's preferences are often captured by some choice functions which are used to rank prospects. In this paper, we consider ambiguity in choice functions over a multi-attribute prospect space. Our main result is a robust…

Risk Management · Quantitative Finance 2018-05-21 William B. Haskell , Wenjie Huang , Huifu Xu

In the context of stochastic portfolio theory we introduce a novel class of portfolios which we call linear path-functional portfolios. These are portfolios which are determined by certain transformations of linear functions of a…

Mathematical Finance · Quantitative Finance 2024-10-08 Christa Cuchiero , Janka Möller

We revisit the problem of portfolio selection, where an investor maximizes utility subject to a risk constraint. Our framework is very general and accommodates a wide range of utility and risk functionals, including non-concave utilities…

Mathematical Finance · Quantitative Finance 2025-09-15 Leonardo Baggiani , Martin Herdegen , Nazem Khan

This paper introduces a probabilistic framework to estimate parameters of an acquisition function given observed human behavior that can be modeled as a collection of sample paths from a Bayesian optimization procedure. The methodology…

Human-Computer Interaction · Computer Science 2022-02-04 Nathan Sandholtz , Yohsuke Miyamoto , Luke Bornn , Maurice Smith

In this paper we formulate and study an optimal switching problem under partial information. In our model the agent/manager/investor attempts to maximize the expected reward by switching between different states/investments. However, he is…

Optimization and Control · Mathematics 2014-03-10 Kai Li , Kaj Nyström , Marcus Olofsson

An algorithm was recently introduced by INTECH for the purposes of estimating the trading-profit contribution of systematic rebalancing to the relative return of rules-based investment strategies. We apply this methodology to analyze the…

Portfolio Management · Quantitative Finance 2016-01-29 Vassilios Papathanakos

This work proposes a unified framework for portfolio allocation, covering both asset selection and optimization, based on a multiple-hypothesis predict-then-optimize approach. The portfolio is modeled as a structured ensemble, where each…

Portfolio Management · Quantitative Finance 2025-11-19 Alejandro Rodriguez Dominguez , Muhammad Shahzad , Xia Hong

The partially linear binary choice model can be used for estimating structural equations where nonlinearity may appear due to diminishing marginal returns, different life cycle regimes, or hectic physical phenomena. The inference procedure…

Econometrics · Economics 2023-12-01 Wenzheng Gao , Zhenting Sun

Using theory and experiments, this paper shows that the difficulty of making tradeoffs offers a parsimonious explanation for a wide range of behavioral phenomena. We develop a model of imprecise comparisons applicable to multiattribute,…

General Economics · Economics 2026-04-01 Cassidy Shubatt , Jeffrey Yang

We study empirical covariance matrices in finance. Due to the limited amount of available input information, these objects incorporate a huge amount of noise, so their naive use in optimization procedures, such as portfolio selection, may…

Physics and Society · Physics 2008-12-02 Gabor Papp , Szilard Pafka , Maciej A. Nowak , Imre Kondor

We consider the following problem in stochastic portfolio theory. Are there portfolios that are relative arbitrages with respect to the market portfolio over very short periods of time under realistic assumptions? We answer a slightly…

Probability · Mathematics 2016-03-15 Soumik Pal

Aiming to describe the wealth distribution evolution, several models consider an ensemble of interacting economic agents that exchange wealth in binary fashion. Intriguingly, models that consider an unbiased market, that gives to each agent…

General Finance · Quantitative Finance 2021-06-30 Ben-Hur Francisco Cardoso , Sebastián Gonçalves , José Roberto Iglesias

Predictive models are being increasingly used to support consequential decision making at the individual level in contexts such as pretrial bail and loan approval. As a result, there is increasing social and legal pressure to provide…

Machine Learning · Computer Science 2020-03-02 Amir-Hossein Karimi , Gilles Barthe , Borja Balle , Isabel Valera

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

Risk Management · Quantitative Finance 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović