The average risk sharing problem under risk measure and expected utility theory

DOI10.1016/j.insmatheco.2018.05.006zbMath1417.91279OpenAlexW2809459885WikidataQ129638707 ScholiaQ129638707MaRDI QIDQ1622526

Haiyan Liu, Jiuyun Hu, Tiantian Mao

Publication date: 19 November 2018

Published in: Insurance Mathematics \& Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.insmatheco.2018.05.006

zbMATH Keywords

expected utilityrisk sharingconvex risk measureaverage-inf-convolutionutility-based shortfall

Mathematics Subject Classification ID

Utility theory (91B16)

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Cites Work

• Unnamed Item
• Stochastic finance. An introduction in discrete time.
• Optimal reinsurance under VaR and CTE risk measures
• Allocation of risks and equilibrium in markets with finitely many traders
• Monotone and cash-invariant convex functions and hulls
• Optimal capital and risk allocations for law- and cash-invariant convex functions
• To split or not to split: Capital allocation with convex risk measures
• Advances in prospect theory: cumulative representation of uncertainty
• Convex measures of risk and trading constraints
• Optimal risk-sharing rules and equilibria with Choquet-expected-utility.
• Category-measure duality: convexity, midpoint convexity and Berz sublinearity
• Risk measures based on behavioural economics theory
• A note on optimal risk sharing on $L^p$ spaces
• Pareto optimal allocations and optimal risk sharing for quasiconvex risk measures
• Inf-convolution of risk measures and optimal risk transfer
• Robust optimal risk sharing and risk premia in expanding pools
• Coherent Measures of Risk
• Mathematical Risk Analysis
• ASYMPTOTIC EQUIVALENCE OF RISK MEASURES UNDER DEPENDENCE UNCERTAINTY
• Regulatory arbitrage of risk measures
• OPTIMAL RISK SHARING FOR LAW INVARIANT MONETARY UTILITY FUNCTIONS
• Equilibrium in a Reinsurance Market