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In this paper, we investigate the Merton portfolio management problem in the context of non-exponential discounting. This gives rise to time-inconsistency of the decision-maker. If the decision-maker at time t=0 can commit his/her…

Portfolio Management · Quantitative Finance 2008-12-02 Ivar Ekeland , Traian A. Pirvu

Expected Shortfall (ES, also known as CVaR) is the most important coherent risk measure in finance, insurance, risk management, and engineering. Recently, Wang and Zitikis (2021) put forward four economic axioms for portfolio risk…

Mathematical Finance · Quantitative Finance 2022-04-05 Xia Han , Bin Wang , Ruodu Wang , Qinyu Wu

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

Optimization and Control · Mathematics 2012-05-29 Traian A. Pirvu , Huayue Zhang

We study a continuous-time portfolio choice problem for an investor whose state-dependent preferences are determined by an exogenous factor that evolves as an It\^o diffusion process. Since risk attitudes at the end of the investment…

Mathematical Finance · Quantitative Finance 2025-12-25 Luca De Gennaro Aquino , Sascha Desmettre , Yevhen Havrylenko , Mogens Steffensen

In hedge funds, convex compensation schemes are adopted to stimulate a high-profit performance for portfolio managers. In economics, non-monotone risk aversion is proposed to argue that individuals may not be risk-averse when the wealth…

Optimization and Control · Mathematics 2024-11-05 Yang Liu , Zhenyu Shen

This paper establishes the existence of equilibrium in an economy with production and a continuum of consumers, each of whose incomplete and price-dependent preferences are defined on commodities they may consider deleterious, bads which…

Theoretical Economics · Economics 2025-11-04 Robert M. Anderson , Haosui Duanmu , M. Ali Khan , Metin Uyanik

We study the finite mutually exclusive outcome version of risk-constrained Kelly optimization with explicit state prices. The market has outcome probabilities $p_i>0$, state prices $q_i>0$, terminal wealths $W_i=c+x_i/q_i$, and a…

Optimization and Control · Mathematics 2026-04-14 Christopher D. Long

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

The war of attrition with two-sided asymmetric information is a foundational model in political economy, yet it generically admits a continuum of perfect Bayesian equilibria. This paper characterizes the sources of equilibrium multiplicity.…

Theoretical Economics · Economics 2026-03-17 Martin Castillo-Quintana , Gianfranco Miranda-Romero

We study risk-sharing economies where heterogenous agents trade subject to quadratic transaction costs. The corresponding equilibrium asset prices and trading strategies are characterised by a system of nonlinear, fully-coupled…

Portfolio Management · Quantitative Finance 2020-10-01 Martin Herdegen , Johannes Muhle-Karbe , Dylan Possamaï

This paper characterizes the equilibrium in a continuous time financial market populated by heterogeneous agents who differ in their rate of relative risk aversion and face convex portfolio constraints. The model is studied in an…

General Finance · Quantitative Finance 2018-06-19 Tyler Abbot

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and…

Portfolio Management · Quantitative Finance 2012-01-04 Jianming Xia

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

Portfolio Management · Quantitative Finance 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

Under mean-variance-utility framework, we propose a new portfolio selection model, which allows wealth and time both have influences on risk aversion in the process of investment. We solved the model under a game theoretic framework and…

Portfolio Management · Quantitative Finance 2020-08-11 Ben-Zhang Yang , Xin-Jiang He , Song-Ping Zhu

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

This paper studies preference aggregation under risk. In our model, each agent has an incomplete preference relation represented by a set of expected utility functions. The classical Pareto principle is silent on agreement involving…

Theoretical Economics · Economics 2026-01-06 Leo Kurata , Kensei Nakamura

This paper examines optimal risk sharing for empirically realistic risk attitudes, providing results on Pareto optimality, competitive equilibria, utility frontiers, and the first and second theorems of welfare. Contrary to common…

Theoretical Economics · Economics 2025-10-06 Jean-Gabriel Lauzier , Liyuan Lin , Peter Wakker , Ruodu Wang

This study provides a solution of the equity premium puzzle. Questioning the validity of the Arrow-Pratt measure of relative risk aversion for detecting the risk behavior of investors under all conditions, a new tool, that is, the…

General Finance · Quantitative Finance 2023-01-27 Atilla Aras

This study provides the solution to the equity premium puzzle. The new model was developed by including the behavior of investors toward risk in financial markets in prior studies. The calculations of this newly tested model show that the…

General Finance · Quantitative Finance 2022-09-05 Atilla Aras

We study existence, uniqueness and computability of solutions for a class of discrete time recursive utilities models. By combining two streams of the recent literature on recursive preferences---one that analyzes principal eigenvalues of…

Economics · Quantitative Finance 2019-04-24 Jaroslav Borovicka , John Stachurski