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Radner equilibrium and systems of quadratic BSDEs with discontinuous generators

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 نشر من قبل Hao Xing
 تاريخ النشر 2020
  مجال البحث اقتصاد
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Motivated by an equilibrium problem, we establish the existence of a solution for a family of Markovian backward stochastic differential equations with quadratic nonlinearity and discontinuity in $Z$. Using unique continuation and backward uniqueness, we show that the set of discontinuity has measure zero. In a continuous-time stochastic model of an endowment economy, we prove the existence of an incomplete Radner equilibrium with nondegenerate endogenous volatility.

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