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The equity risk premium puzzle is that the return on equities has far exceeded the average return on short-term risk-free debt and cannot be explained by conventional representative-agent consumption based equilibrium models. We review a…

General Finance · Quantitative Finance 2019-09-18 Ravi Kashyap

Linear contracts are ubiquitous in practice, yet optimal contract theory often prescribes complex, nonlinear structures. We provide a distributional robustness justification for linear contracts. We study a principal-agent problem where the…

Computer Science and Game Theory · Computer Science 2026-04-28 Shiliang Zuo

We develop a model for contagion in reinsurance networks by which primary insurers' losses are spread through the network. Our model handles general reinsurance contracts, such as typical excess of loss contracts. We show that simpler…

Risk Management · Quantitative Finance 2020-03-25 Ariah Klages-Mundt , Andreea Minca

In this paper, we consider a dynamic coalition portfolio selection problem, with each agent's objective given by an Epstein--Zin recursive utility. To find a Pareto optimum, the coalition's problem is formulated as an optimization problem…

Optimization and Control · Mathematics 2024-02-08 Hanxiao Wang , Chao Zhou

In this paper, we examine the effect of background risk on portfolio selection and optimal reinsurance design under the criterion of maximizing the probability of reaching a goal. Following the literature, we adopt dependence uncertainty to…

Risk Management · Quantitative Finance 2022-01-06 Yichun Chi , Zuo Quan Xu , Sheng Chao Zhuang

We consider the mechanism design problem of a principal allocating a single good to one of several agents without monetary transfers. Each agent desires the good and uses it to create value for the principal. We designate this value as the…

Theoretical Economics · Economics 2024-06-26 Halil İbrahim Bayrak , Çağıl Koçyiğit , Daniel Kuhn , Mustafa Çelebi Pınar

Bernard et al. (2015) study an optimal insurance design problem where an individual's preference is of the rank-dependent utility (RDU) type, and show that in general an optimal contract covers both large and small losses. However, their…

Mathematical Finance · Quantitative Finance 2022-01-07 Xu Zuo Quan , Zhou Xun Yu , Zhuang Sheng Chao

This paper studies robust forward investment and consumption preferences and optimal strategies for a risk-averse and ambiguity-averse agent in an incomplete financial market with drift and volatility uncertainties. We focus on non-zero…

Portfolio Management · Quantitative Finance 2025-09-17 Wing Fung Chong , Gechun Liang

We propose a new Robust Optimization method for the energy offering problem of a price-taker generating company that wants to build offering curves for its generation units, in order to maximize its profit while taking into account the…

Optimization and Control · Mathematics 2016-02-15 Fabio D'Andreagiovanni , Giovanni Felici , Fabrizio Lacalandra

We present a general approach to the pricing of products in finance and insurance in the multi-period setting. It is a combination of the utility indifference pricing and optimal intertemporal risk allocation. We give a characterization of…

Pricing of Securities · Quantitative Finance 2008-12-02 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano

Portfolio selection problems that optimize expected utility are usually difficult to solve. If the number of assets in the portfolio is large, such expected utility maximization problems become even harder to solve numerically. Therefore,…

Portfolio Management · Quantitative Finance 2026-02-17 Nuerxiati Abudurexiti , Erhan Bayraktar , Takaki Hayashi , Hasanjan Sayit

We find the optimal indemnity to maximize the expected utility of terminal wealth of a buyer of insurance whose preferences are modeled by an exponential utility. The insurance premium is computed by a convex functional. We obtain a…

Mathematical Finance · Quantitative Finance 2024-01-17 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

We consider the principal-agent problem with heterogeneous agents. Previous works assume that the principal signs independent incentive contracts with every agent to make them invest more efforts on the tasks. However, in many…

Multiagent Systems · Computer Science 2019-11-12 Shenke Xiao , Zihe Wang , Mengjing Chen , Pingzhong Tang , Xiwang Yang

Planning under model uncertainty is a fundamental problem across many applications of decision making and learning. In this paper, we propose the Robust Adaptive Monte Carlo Planning (RAMCP) algorithm, which allows computation of…

Artificial Intelligence · Computer Science 2019-01-10 Apoorva Sharma , James Harrison , Matthew Tsao , Marco Pavone

This paper investigates a novel behavioral feature of recursive preferences: aversion to risks that persist over time, or simply \textit{correlation aversion}. Greater persistence provides information about future consumption but reduces…

Theoretical Economics · Economics 2026-03-24 Lorenzo Maria Stanca

Having a perfect model to compute the optimal policy is often infeasible in reinforcement learning. It is important in high-stakes domains to quantify and manage risk induced by model uncertainties. Entropic risk measure is an exponential…

Machine Learning · Computer Science 2020-06-23 Reazul Hasan Russel , Bahram Behzadian , Marek Petrik

In this paper, we investigate the features and the performance of the Risk Parity (RP) portfolios using the Mean Absolute Deviation (MAD) as a risk measure. The RP model is a recent strategy for asset allocation that aims at equally sharing…

Portfolio Management · Quantitative Finance 2024-01-19 Çağın Ararat , Francesco Cesarone , Mustafa Çelebi Pınar , Jacopo Maria Ricci

We study a two-period moral hazard problem; there are two agents, with action sets that are unknown to the principal. The principal contracts with each agent sequentially, and seeks to maximize the worst-case discounted sum of payoffs,…

Theoretical Economics · Economics 2024-02-15 Chang Liu

Optimistic rollups are a popular and promising method of increasing the throughput capacity of their underlying chain. These methods rely on economic incentives to guarantee their security. We present a model of optimistic rollups that…

Computer Science and Game Theory · Computer Science 2024-10-17 Daji Landis

This paper is the continuation of "Pricing with coherent risk" and deals with further applications of coherent risk measures to problems of finance. First, we study the optimization problem. Three forms of this problem are considered.…

Probability · Mathematics 2008-12-10 Alexander S. Cherny