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arxiv: 0910.5580 · v2 · submitted 2009-10-29 · 🧮 math.PR

Symmetrical Solutions of Backward Stochastic Volterra Integral Equations and Their Applications

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keywords backwardbsviesequationsintegralshortsolutionsstochasticsymmetrical
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Backward stochastic Volterra integral equations (BSVIEs in short) are studied. We introduce the notion of adapted symmetrical solutions (S-solutions in short), which are different from the M-solutions introduced by Yong [17]. We also give some new results for them. At last a class of dynamic coherent risk measures were derived via certain BSVIEs.

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