Risk sharing under heterogeneous beliefs without convexity

FB Liebrich - Finance and Stochastics, 2024 - Springer
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 …

Law-invariant functionals on general spaces of random variables

F Bellini, P Koch-Medina, C Munari… - SIAM Journal on Financial …, 2021 - SIAM
We establish general versions of a variety of results for quasiconvex, lower-semicontinuous,
and law-invariant functionals. Our results extend well-known results from the literature to a …

Risk sharing for capital requirements with multidimensional security markets

FB Liebrich, G Svindland - Finance and Stochastics, 2019 - Springer
We consider the risk sharing problem for capital requirements induced by capital adequacy
tests and security markets. The agents involved in the sharing procedure may be …

The strong Fatou property of risk measures

S Chen, N Gao, F Xanthos - Dependence Modeling, 2018 - degruyter.com
In this paper, we explore several Fatou-type properties of risk measures. The paper
continues to reveal that the strong Fatou property, whichwas introduced in [19], seems to be …

Convex risk measures on Orlicz spaces: inf-convolution and shortfall

T Arai - Mathematics and Financial Economics, 2010 - Springer
We focus on, throughout this paper, convex risk measures defined on Orlicz spaces. In
particular, we investigate basic properties of inf-convolutions defined between a convex risk …

Inf-convolution and optimal risk sharing with countable sets of risk measures

MB Righi, MR Moresco - Annals of Operations Research, 2024 - Springer
The inf-convolution of risk measures is directly related to risk sharing and general
equilibrium, and it has attracted considerable attention in mathematical finance and …

Risk-averse bargaining in a stochastic optimization context

WJ Gutjahr, RM Kovacevic… - Manufacturing & Service …, 2023 - pubsonline.informs.org
Problem definition: Bargaining situations are ubiquitous in economics and management. We
consider the problem of bargaining for a fair ex ante distribution of random profits arising …

[PDF][PDF] Inf-convolution and optimal risk sharing with arbitrary sets of risk measures

MB Righi, M Moresco - arXiv preprint arXiv:2003.05797, 2020 - researchgate.net
The inf-convolution of risk measures is directly related to risk sharing and general
equilibrium, and it has attracted considerable attention in mathematical finance and …

The operation of infimal/supremal convolution in mathematical economics

L Bayón, PJ García-Nieto, R García-Rubio… - … Journal of Computer …, 2016 - Taylor & Francis
The infimal convolution operation arises in mathematical economics in the analysis of
several problems. In this paper we first present a survey and summarize two previous …

[PDF][PDF] Law-invariant functionals beyond bounded positions

F Bellini, P Koch-Medina… - arXiv preprint arXiv …, 2020 - insurance.uni-hannover.de
We establish general versions of a variety of results for quasiconvex, lower-semicontinuous,
and lawinvariant functionals. Our results extend well-known results from the literature to a …