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Continuous-time dynamic risk measures by backward stochastic Volterra integral equations
13 references·13 citing·34 second hop
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References

  • 1999Coherent Measures of Risk8,849 cited
  • 1990Adapted solution of a backward stochastic differential equation2,676 cited
  • 1997Backward Stochastic Differential Equations in Finance2,339 cited
  • 2002Convex measures of risk and trading constraints1,452 cited
  • 2007Forward-Backward Stochastic Differential Equations and their Applications675 cited
  • 2004Dynamic coherent risk measures400 cited
  • 2003Lp solutions of backward stochastic differential equations367 cited
  • 2004Nonlinear Expectations, Nonlinear Evaluations and Risk Measures278 cited
  • 1999Forward-Backward Stochastic Differential Equations and Their Applications258 cited
  • 2006Backward stochastic Volterra integral equations and some related problems125 cited
  • 2007Well-posedness and regularity of backward stochastic Volterra integral equations107 cited
  • 2002Adapted solution of a backward stochastic nonlinear Volterra integral equation92 cited
  • 2003A Generalized Stochastic Differential Utility77 cited

Cited by

  • 2009On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces43 cited
  • 2014Comparison theorems for some backward stochastic Volterra integral equations

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39 cited
  • 2015Optimal control problems of forward-backward stochastic Volterra integral equations39 cited
  • 2019Recursive Utility Processes, Dynamic Risk Measures and Quadratic Backward Stochastic Volterra Integral Equations38 cited
  • 2020Backward doubly stochastic Volterra integral equations and their applications30 cited
  • 2012SOLVABILITY OF GENERAL BACKWARD STOCHASTIC VOLTERRA INTEGRAL EQUATIONS28 cited
  • 2013On a class of backward stochastic Volterra integral equations28 cited
  • 2020Extended backward stochastic Volterra integral equations, Quasilinear parabolic equations, and Feynman–Kac formula26 cited
  • 2020Extended backward stochastic Volterra integral equations and their applications to time-Inconsistent stochastic recursive control problems26 cited
  • 2019Dynamic risk measure for BSVIE with jumps and semimartingale issues26 cited
  • 2022Path dependent Feynman–Kac formula for forward backward stochastic Volterra integral equations24 cited
  • 2011Rough Volterra equations 2: Convolutional generalized integrals21 cited
  • 2015Backward stochastic Volterra integral equations with additive perturbations21 cited