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Related papers: Model Combination in Risk Sharing under Ambiguity

200 papers

We study the problem of a planner who resolves risk-return trade-offs - like financial investment decisions - on behalf of a collective of agents with heterogeneous risk preferences. The planner's objective is a two-stage utility functional…

General Finance · Quantitative Finance 2021-06-25 Anne G. Balter , Nikolaus Schweizer

This paper investigates the dynamic reinsurance design problem under the mean-variance criterion, incorporating heterogeneous beliefs between the insurer and the reinsurer, and introducing an incentive compatibility constraint to address…

Optimization and Control · Mathematics 2025-08-19 Junyi Guo , Xia Han , Hao Wang

We consider the problem of finding Pareto-optimal allocations of risk among finitely many agents. The associated individual risk measures are law invariant, but with respect to agent-dependent and potentially heterogeneous reference…

Risk Management · Quantitative Finance 2022-05-05 Felix-Benedikt Liebrich

Firms should keep capital to offer sufficient protection against the risks they are facing. In the insurance context methods have been developed to determine the minimum capital level required, but less so in the context of firms with…

Risk Management · Quantitative Finance 2023-02-27 G. A. Delsing , M. R. H. Mandjes , P. J. C. Spreij , E. M. M. Winands

We consider the problem of optimal risk sharing in a pool of cooperative agents. We analyze the asymptotic behavior of the certainty equivalents and risk premia associated with the Pareto optimal risk sharing contract as the pool expands.…

Risk Management · Quantitative Finance 2017-05-01 Thomas Knispel , Roger J. A. Laeven , Gregor Svindland

We introduce a two-agent problem which is inspired by price asymmetry arising from funding difference. When two parties have different funding rates, the two parties deduce different fair prices for derivative contracts even under the same…

Mathematical Finance · Quantitative Finance 2020-01-01 Junbeom Lee , Stephan Sturm , Chao Zhou

We study risk sharing among agents with preferences modeled by heterogeneous distortion risk measures, who are not necessarily risk averse. Pareto optimality for agents using risk measures is often studied through the lens of…

Risk Management · Quantitative Finance 2026-03-11 Mario Ghossoub , Qinghua Ren , Ruodu Wang

We consider the classical multi-asset Merton investment problem under drift uncertainty, i.e. the asset price dynamics are given by geometric Brownian motions with constant but unknown drift coefficients. The investor assumes a prior drift…

Portfolio Management · Quantitative Finance 2024-02-22 Nicole Bäuerle , Antje Mahayni

We consider an optimal investment and risk control problem for an insurer under the mean-variance (MV) criterion. By introducing a deterministic auxiliary process defined forward in time, we formulate an alternative time-consistent problem…

Portfolio Management · Quantitative Finance 2021-01-12 Yang Shen , Bin Zou

We consider the optimal risk sharing problem with a continuum of agents, modeled via a non-atomic measure space. Individual preferences are not assumed to be convex. We show the multiplicity of agents induces the value function to be…

Theoretical Economics · Economics 2025-09-12 Vasily Melnikov

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

Mathematical Finance · Quantitative Finance 2021-01-14 Matteo Brachetta , Claudia Ceci

Traditionally model averaging has been viewed as an alternative to model selection with the ultimate goal to incorporate the uncertainty associated with the model selection process in standard errors and confidence intervals by using a…

Methodology · Statistics 2021-03-05 Michael Schomaker , Christian Heumann

Dybvig (1988a,b) solves in a complete market setting the problem of finding a payoff that is cheapest possible in reaching a given target distribution ("cost-efficient payoff"). In the presence of ambiguity, the distribution of a payoff is,…

Portfolio Management · Quantitative Finance 2023-08-11 Carole Bernard , Gero Junike , Thibaut Lux , Steven Vanduffel

This paper studies optimal insurance design under asymmetric information in a Stackelberg framework, where a monopolistic insurer faces uncertainty about both the insured's risk attitude, captured by a risk-aversion parameter, and the…

Risk Management · Quantitative Finance 2026-04-20 Xia Han , Bin Li

This paper studies the optimal investment problem for a hybrid pension plan under model uncertainty, where both the contribution and the benefit are adjusted depending on the performance of the plan. Furthermore, an age and time-dependent…

Optimization and Control · Mathematics 2023-02-07 Ke Fu , Ximin Rong , Hui Zhao

It is well known that the minimal superhedging price of a contingent claim is too high for practical use. In a continuous-time model uncertainty framework, we consider a relaxed hedging criterion based on acceptable shortfall risks.…

Mathematical Finance · Quantitative Finance 2019-03-07 Ludovic Tangpi

Insurance products frequently cover significant claims arising from a variety of sources. To model losses from these products accurately, actuarial models must account for high-severity claims. A widely used strategy is to apply a mixture…

Methodology · Statistics 2025-04-30 Sébastien Jessup , Mélina Mailhot , Mathieu Pigeon

Aiming to analyze the impact of environmental transition on the value of assets and on asset stranding, we study optimal stopping and divestment timing decisions for an economic agent whose future revenues depend on the realization of a…

Mathematical Finance · Quantitative Finance 2025-10-27 Andrea Mazzon , Peter Tankov

In this paper the problem of optimal derivative design, profit maximization and risk minimization under adverse selection when multiple agencies compete for the business of a continuum of heterogenous agents is studied. The presence of ties…

Trading and Market Microstructure · Quantitative Finance 2011-07-06 Ulrich Horst , Santiago Moreno-Bromberg

This paper studies the continuous-time pre-commitment KMM problem proposed by Klibanoff, Marinacci and Mukerji (2005) in incomplete financial markets, which concerns with the portfolio selection under smooth ambiguity. The decision maker…

Mathematical Finance · Quantitative Finance 2023-02-17 Guohui Guan , Zongxia Liang , Yilun Song