Decision-Making Frameworks for Network Resilience - Managing and Mitigating Systemic (Cyber) Risk A. Voß )Sufficient Convexity and Best Approximation Documenta Mathematica , 29 (6), 1269-1279, 2024Constructive Convex Optimisation In: Bridges, D., Ishihara, H., Rathjen, M., Schwichtenberg, H. (eds); Handbook of Constructive Mathematics 185 (Encyclopedia of Mathematics and its Applications) , Cambridge University Press, 286-301, 2023A Constructive Version of Carathéodory’s Convexity Theorem Mathematics for Computation (M4C), 133-142, 2023Modeling and Pricing Cyber Insurance – Idiosyncratic, Systematic, and Systemic Risks K. Awiszus , T. Knispel , I. Penner , A. Voß , S. Weber ) European Actuarial Journal , 13 , 1-53, 2023 Bipolar Theorems for Sets of Non-negative Random Variables J. Langner )On Farkas' Lemma and Related Propositions in BISH Annals of Pure and Applied Logic , 173 (2), 2022 Model uncertainty: A reverse approach F. B. Liebrich and M. Maggis)SIAM Journal on Financial Mathematics, 13 (3), 380-398, 2022Law-invariant functionals that collapse to the mean Insurance: Mathematics and Economics , 98 , 83-91, 2021Law-invariant functionals on general spaces of random variables SIAM Journal on Financial Mathematics , 12 (1), 318-341, 2021Constructive proofs of negated statements Mathesis Universalis , Computability and Proof, Springer, 2019Efficient allocations under law-invariance: a unifying approach F. B. Liebrich )Journal of Mathematical Economics, 84 , 28-45, 2019Risk sharing for capital requirements with multidimensional security markets F. B. Liebrich )Finance and Stochastics, 23 , 925-973, 2019Convexity and unique minimum points Archive for Mathematical Logic, 58 (1-2), 27-34, 2019Ambiguity sensitive preferences in Ellsberg Frameworks Economic Theory, 67 (1), 53-89, 2019 Brouwer's fan theorem and convexity Journal of Symbolic Logic, 83 (4), 1363-1375, 2018Which eligible assets are compatible with comonotonic capital requirements? Insurance: Mathematics and Economics, 81 , 18-26, 2018Fatou closedness under model uncertainty Positivity, 22 (5), 1325-1343, 2018 Constructive convex programming Proof and Computation: Digitalization in Mathematics, Computer Science, and Philosophy, World Scientific Publishing Co. Pte. Ltd., 2018Strongly consistent multivariate conditional risk measures Mathematics and Financial Economics, 12 (3), 413-444, 2017Model spaces for risk measures F. B. Liebrich )Insurance: Mathematics and Economics, 77 , 150-165, 2017Robust optimal risk sharing and risk premia in expanding pools T. Knispel and R. J. Laeven)Insurance: Mathematics and Economics, 70 , 182-195, 2016A separating hyperplane theorem, the fundamental theorem of asset pricing, and Markov’s principle Annals of Pure and Applied Logic, 167 (11), 1161-1170, 2016Convexity and constructive infima Archive for Mathematical Logic, 55 (7-8), 873-881, 2016Risk-consistent conditional systemic risk measures Stochastic Processes and their Applications, 126 (7), 2014-2037, 2016The mathematical concept of measuring risk Risk - A Multidisciplinary Introduction, Springer, 2014Comonotone Pareto optimal allocations for law invariant robust utilities on L^1 (extended working paper version )Finance and Stochastics, 18 (1), 249-269, 2014Dilatation monotonicity and convex order Mathematics and Financial Economics, 8 (3), 241-247, 2014On the lower arbitrage bound of american contingent claims Mathematical Finance, 24 (1), 147-155, 2014Are law-invariant risk functions concave on distributions? Dependence Modeling, 1 , 54-64, 2013The canonical model space of law invariant risk measures is L^1 Mathematical Finance , 22 (3), 585-589, 2012Dual representation of monotone convex functions on L^0 Proceedings of the AMS , 139 (11), 4073-4086, 2011Continuity properties of law-invariant (quasi-)convex risk functions on L^\infty Mathematics and Financial Economics , 3 (1), 39-43, 2010Subgradients of law-invariant convex risk measures on L^1 Statistics & Decisions , 27 (2), 169-199, 2010Optimal risk sharing with different reference probabilities Insurance: Mathematics and Economics , 44 (3), 426-433, 2009A note on natural risk statistics Operations Research Letters , 36 (6), 662-664, 2008Optimal capital and risk allocations for law- and cash-invariant convex functions Finance and Stochastics , 12 (3), 423-439, 2008
