Radner equilibrium and systems of quadratic BSDEs with discontinuous generators
Luis Escauriaza,
Daniel C. Schwarz and
Hao Xing
Papers from arXiv.org
Abstract:
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.
Date: 2020-08, Revised 2021-05
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:2008.03500
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