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Singular Optimal Stochastic Controls I: Existence
12 references·15 citing·33 second hop
Singular Optimal Stochastic Controls I: Existence (1995)Singular Optimal Stochastic Controls I: E…Controlled markov processes and viscosity solutions (1994)Controlled markov processes a…On the Existence of Optimal Controls (1990)On the Existence of Optimal C…Regularity of the Value Function for a Two-Dimensional Singular Stochastic Control Problem (1989)Regularity of the Value Funct…Compactification methods in the control of degenerate diffusions: existence of an optimal control (1987)Compactification methods in t…Connections Between Optimal Stopping and Singular Stochastic Control II. Reflected Follower Problems (1985)Connections Between Optimal S…Additive Control of Stochastic Linear Systems with Finite Horizon (1985)Additive Control of Stochasti…Connections between Optimal Stopping and Singular Stochastic Control I. Monotone Follower Problems (1984)Connections between Optimal S…Instantaneous Control of Brownian Motion (1983)Instantaneous Control of Brow…A class of singular stochastic control problems (1983)A class of singular stochasti…Stochastic Differential Equations and Diffusion Processes (1981)Stochastic Differential Equat…Some solvable stochastic control problemst† (1980)Some solvable stochastic cont…MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)MULTI-DIMENSIONAL DIFFUSION P…Mean Field Games with Singular Controls (2017)Mean Field Games with Singula…On singular control problems with state constraints and regime-switching: A viscosity solution approach (2016)On singular control problems …Characterization of the Optimal Boundaries in Reversible Investment Problems (2014)Characterization of the Optim…On Near-Optimal Mean-Field Stochastic Singular Controls: Necessary and Sufficient Conditions for Near-Optimality (2013)On Near-Optimal Mean-Field St…A Mean-Field Necessary and Sufficient Conditions for Optimal Singular Stochastic Control (2013)A Mean-Field Necessary and Su…The Relaxed Stochastic Maximum Principle in Singular Optimal Control of Diffusions (2007)The Relaxed Stochastic Maximu…Maximum Principle for Singular Stochastic Control Problems (2006)Maximum Principle for Singula…Existence of optimal controls for singular control problems with state constraints (2006)Existence of optimal controls…Bounded Variation Singular Stochastic Control and Dynkin Game (2005)Bounded Variation Singular St…A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation (2005)A class of solvable stochasti…Singular Stochastic Control Problems (2004)Singular Stochastic Control P…A Connection between Singular Stochastic Control and Optimal Stopping (2003)A Connection between Singular…Generalized Solutions in Nonlinear Stochastic Control Problems (2002)Generalized Solutions in Nonl…Optimal Control of Inflation: A Central Bank Problem (1998)Optimal Control of Inflation:…Singular Optimal Stochastic Controls II: Dynamic programming (1995)Singular Optimal Stochastic C…Controlled Stochastic Processes (1979)Controlled Diffusion Processes (1980)A Diffusion Model for Optimal Portfolio Selection in the Presence of Brokerage Fees (1988)A General Equilibrium Model of International Portfolio Choice (1993)Optimal risk and dividend distribution control models for an insurance company (2000)Un Cours sur les Intégrales Stochastiques (2002)Les Aspects Probabilistes Du Controle Stochastique (1981)Semimartingales (1982)Mean field games via controlled martingale problems: Existence of Markovian equilibria (2015)Dynamic programming approach to principal–agent problems (2017)On the convergence of closed-loop Nash equilibria to the mean field game limit (2020)On optimal stopping and free boundary problems (1976)Irreversible investment and industry equilibrium (1996)Finite-horizon optimal investment with transaction costs: A parabolic double obstacle problem (2008)Stochastic Differential Equations and Diffusion Processes (1983)Ergodic Control of Diffusion Processes (2011)A general characterization of the mean field limit for stochastic differential games (2015)Mean field games with common noise (2016)Stochastic Differential Equations (1972)Stochastic Differential Equations and Applications (1976)Pricing foreign currency options under stochastic interest rates (1991)Stochastic analysis, rough path analysis and fractional Brownian motions (2002)Non‐parametric Threshold Estimation for Models with Stochastic Diffusion Coefficient and Jumps (2009)Risk vs. profit potential: A model for corporate strategy (1996)Optimal Portfolio Choice and the Valuation of Illiquid Securities (2001)Controlled diffusion models for optimal dividend pay-out (1997)Markowitz's Mean-Variance Portfolio Selection with Regime Switching: A Continuous-Time Model (2003)Partial Differential Equations (2010)A Class of Solvable Stochastic Investment Problems Involving Singular Controls (1993)Singular Stochastic Control, Linear Diffusions, and Optimal Stopping: A Class of Solvable Problems (2001)ARCH models as diffusion approximations (1990)Chapter 49 Arch models (1994)5 Stochastic volatility (1996)
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References

  • 1980MULTI-DIMENSIONAL DIFFUSION PROCESSES1,243 cited
  • 1994Controlled markov processes and viscosity solutions1,024 cited
  • 1981Stochastic Differential Equations and Diffusion Processes597 cited
  • 1980Some solvable stochastic control problemst†316 cited
  • 1983Instantaneous Control of Brownian Motion295 cited
  • 1987Compactification methods in the control of degenerate diffusions: existence of an optimal control231 cited
  • 1984Connections between Optimal Stopping and Singular Stochastic Control I. Monotone Follower Problems226 cited
  • 1990On the Existence of Optimal Controls136 cited
  • 1983A class of singular stochastic control problems128 cited
  • 1985Connections Between Optimal Stopping and Singular Stochastic Control II. Reflected Follower Problems123 cited
  • 1985Additive Control of Stochastic Linear Systems with Finite Horizon119 cited
  • 1989Regularity of the Value Function for a Two-Dimensional Singular Stochastic Control Problem118 cited

Cited by

  • 1995Singular Optimal Stochastic Controls II: Dynamic programming78 cited
  • 2004Singular Stochastic Control Problems43 cited
  • 2007The Relaxed Stochastic Maximum Principle in Singular Optimal Control of Diffusions

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41 cited
  • 2017Mean Field Games with Singular Controls39 cited
  • 2006Maximum Principle for Singular Stochastic Control Problems38 cited
  • 2014Characterization of the Optimal Boundaries in Reversible Investment Problems36 cited
  • 2013On Near-Optimal Mean-Field Stochastic Singular Controls: Necessary and Sufficient Conditions for Near-Optimality34 cited
  • 2003A Connection between Singular Stochastic Control and Optimal Stopping34 cited
  • 2005Bounded Variation Singular Stochastic Control and Dynkin Game34 cited
  • 2005A class of solvable stochastic dividend optimization problems: on the general impact of flexibility on valuation31 cited
  • 2013A Mean-Field Necessary and Sufficient Conditions for Optimal Singular Stochastic Control28 cited
  • 1998Optimal Control of Inflation: A Central Bank Problem28 cited
  • 2006Existence of optimal controls for singular control problems with state constraints25 cited
  • 2016On singular control problems with state constraints and regime-switching: A viscosity solution approach23 cited
  • 2002Generalized Solutions in Nonlinear Stochastic Control Problems22 cited