- A. H. Hamel, F. Heyde, B. Rudloff, Set-valued risk measures for conical market models, Mathematics and Financial Economics, 5(1): 1–28, 2011.
Paper not yet in RePEc: Add citation now
- A. H. Hamel, F. Heyde, Duality for set-valued measures of risk, SIAM Journal on Financial Mathematics, 1(1): 66–95, 2010.
Paper not yet in RePEc: Add citation now
A. Löhne, B. Rudloff, An algorithm for calculating the set of superhedging portfolios in markets with transaction costs, International Journal of Theoretical and Applied Finance, 17(2): 1450012, 2014.
- A. RuszczynÃŒÂski, A. Shapiro, Alexander, Conditional Risk Mappings, Mathematics of Operations Research, 31(3): 544–561, 2006.
Paper not yet in RePEc: Add citation now
Ç. Ararat, A. H. Hamel, B. Rudloff, Set-valued shortfall and divergence risk measures, International Journal of Theoretical and Applied Finance, 20(5): 1750026 (48 pages), 2017.
E. Jouini, M. Meddeb, N. Touzi, Vector-valued coherent risk measures, Finance and Stochastics, 8(4): 531–552, 2004.
E. R. Gianin, Risk measures via g-expectations, Insurance: Mathematics and Economics, 39(1): 19–34, 2006.
F. Biagini, J.P. Fouque, M. Frittelli, T. Meyer-Brandis, A unified approach to systemic risk measures via acceptance sets, Mathematical Finance, 9(1): 329–367, 2019.
F. Riedel, Dynamic coherent risk measures, Stochastic Processes and Their Applications, 112(2): 185–200, 2004.
H. Föllmer, A. Schied, Convex measures of risk and trading constraints, Finance and Stochastics, 6(4): 429-447, 2002.
- H. Föllmer, A. Schied, Stochastic finance: an introduction in discrete time, De Gruyter Textbook Series, third edition, 2011.
Paper not yet in RePEc: Add citation now
I. Ben Tahar, E. LeÃŒÂpinette, Vector-valued coherent risk measure processes, International Journal of Theoretical and Applied Finance, 17(2): 1450011 (28 pages), 2014.
I. Cascos, I. Molchanov, Multivariate risk measures: A constructive approach based on selections, Mathematical Finance, 26(4): 867–900, 2016.
- I. Molchanov, Theory of Random Sets, Probability and Its Applications, Springer, 2005.
Paper not yet in RePEc: Add citation now
- J. Bion-Nadal, Conditional risk measures and robust representation of convex risk measures, Ecole Polytechnique, CMAP, preprint no. 557, 2004.
Paper not yet in RePEc: Add citation now
K. Detlefsen, G. Scandolo, Conditional and Dynamic Convex Risk Measures, Finance and Stochastics, 9(4): 539–561, 2005.
- L. Jiang, Convexity, translation invariance and subadditivity for g-expectations and related risk measures, The Annals of Applied Probability, 18(1): 245–258, 2008.
Paper not yet in RePEc: Add citation now
M. Stadje, Extending dynamic convex risk measures from discrete time to continuous time: A convergence approach, Insurance: Mathematics and Economics, 47: 391–404, 2010.
P. Artzner, F. Delbaen, J.-M. Eber, D. Heath, Coherent measures of risk, Mathematical Finance, 9(3): 203-228, 1999.
- P. Barrieu, N. El Karoui, Optimal derivative design under dynamic risk measures, Contemporary Mathematics, 351: 13–26, 2004.
Paper not yet in RePEc: Add citation now
- P. Barrieu, N. El Karoui, Pricing, hedging and optimally designing derivatives via minimization of risk measures, Volume on Indifference Pricing, 2009.
Paper not yet in RePEc: Add citation now
- P. Cheridito, F. Delbaen, M. Kupper, Dynamic monetary risk measures for bounded discretetime processes, Electronic Journal of Probability, 11(3): 57–106, 2006.
Paper not yet in RePEc: Add citation now
P. Cheridito, U. Horst, M. Kupper, T. A. Pirvu, Equilibrium pricing in incomplete markets under translation invariant preferences, Mathematics of Operations Research, 41(1): 174– 195, 2016.
- S. Peng, Backward SDE and related g-expectations, Pitman Research Notes in Mathematics Series, 364: 141–159, 1997.
Paper not yet in RePEc: Add citation now
- S. Peng, Nonlinear expectations, nonlinear evaluations and risk measures, Stochastic Methods in Finance: 165–253, 2004.
Paper not yet in RePEc: Add citation now
- Y. Chen, Y. Hu, Time consistency for set-valued dynamic risk measures for bounded discretetime processes, Mathematics and Financial Economics, 12(3): 305–333, 2018.
Paper not yet in RePEc: Add citation now
Z. Feinstein, B. Rudloff, A comparison of techniques for dynamic multivariate risk measures, in: A. H. Hamel, F. Heyde, A. Löhne, B. Rudloff, C. Schrage (eds.), Set optimization and applications - the state of the art. From set relations to set-valued risk measures, 3–41, Springer-Verlag Berlin, 2015.
Z. Feinstein, B. Rudloff, A recursive algorithm for multivariate risk measures and a set-valued Bellman’s principle, Journal of Global Optimization, 68(1): 47–69, 2017.
Z. Feinstein, B. Rudloff, A supermartingale relation for multivariate risk measures, Quantitative Finance, 18(12): 1971–1990, 2018.
Z. Feinstein, B. Rudloff, Multi-portfolio time consistency for set-valued convex and coherent risk measures, Finance and Stochastics, 19(1): 67–107, 2015.
- Z. Feinstein, B. Rudloff, S. Weber, Measures of systemic risk, SIAM Journal on Financial Mathematics, 8(1): 672–708, 2017.
Paper not yet in RePEc: Add citation now
Z. Feinstein, B. Rudloff, Scalar multivariate risk measures with a single eligible asset, arXiv e-prints, 1807.10694, 2019.
Z. Feinstein, B. Rudloff, Time consistency for scalar multivariate risk measures, arXiv e-prints, 1810.04978, 2019.
Z. Feinstein, B. Rudloff, Time consistency of dynamic risk measures in markets with transaction costs, Quantitative Finance, 13(9): 1473–1489, 2013.