A Model for Optimally Advertising and Launching a Product
Published Online:15 Apr 2011https://doi.org/10.1287/moor.1110.0487
References
- Singular stochastic control in the presence of a state-dependent yield structure. Stochastic Processes Their Appl. (2000) 86(2):323–343Crossref, Google Scholar
- Solving optimal stopping problems of linear diffusions by applying convolution approximations. Math. Methods Oper. Res. (2001) 53(1):89–99Crossref, Google Scholar
- Reward functionals, salvage values, and optimal stopping. Math. Methods Oper. Res. (2001) 54(2):315–337Crossref, Google Scholar
- Singular stochastic control, linear diffusions, and optimal stopping: A class of solvable problems. SIAM J. Control Optim. (2001) 39(6):1697–1710Crossref, Google Scholar
- A class of solvable impulse control problems. Appl. Math. Optim. (2004) 49(3):265–295Crossref, Google Scholar
- On the optimal stochastic impulse control of linear diffusions. SIAM J. Control Optim. (2008) 47(2):703–732Crossref, Google Scholar
- Sequential decisions in the control of a spaceship. 5th Berkeley Sympos. Math. Statist. Probab. (1967) 3(University of California at Berkeley, Berkeley) 181–207Google Scholar
- An analysis of monotone follower problems for diffusion processes. Math. Oper. Res. (2008) 33(2):336–350Link, Google Scholar
- Optimizing venture capital investments in a jump diffusion model. Math. Methods Oper. Res. (2008) 67(1):21–42Crossref, Google Scholar
- On the one-dimensional optimal switching problem. Math. Oper. Res. (2010) 35(1):140–159Link, Google Scholar
- Optimal stopping of regular diffusions under random discounting. Theory Probab. Its Appl. (2001) 45(4):547–557Crossref, Google Scholar
- Some solvable stochastic control problems. Stochastics and Stochastics Rep. (1980) 4(1):39–83Crossref, Google Scholar
- Handbook of Brownian Motion—Facts and Formulae (2002) (Birkhäuser, Basel, Switzerland) Crossref, Google Scholar
- New product introduction: Goodwill, time and advertising costs. Math. Methods Oper. Res. (2002) 55(1):55–68Crossref, Google Scholar
- A problem of singular stochastic control with discretionary stopping. Ann. Appl. Probab. (1994) 4(1):226–240Crossref, Google Scholar
- Optimal stopping of linear diffusions with random discounting. Math. Oper. Res. (2008) 33(3):645–661Link, Google Scholar
- On the optimal stopping problem for one-dimensional diffusions. Stochastic Processes Their Appl. (2003) 107(2):173–212Crossref, Google Scholar
- Dynamical optimal control models in advertising: Recent developments. Management Sci. (1994) 40(2):195–226Link, Google Scholar
- A singular control problem with application to the goodwill problem. Stochastic Processes and Their Appl. (2008) 118(11):2098–2124Crossref, Google Scholar
- The explicit solution to a sequential switching problem with nonsmooth data. Stochastics: An Internat. J. Probab. Stochastic Processes (2010) 82(1–3):69–109Crossref, Google Scholar
- Brownian Motion and Stochastic Calculus (1988) (Springer, New York) Crossref, Google Scholar
- Finite-fuel singular control with discretionary stopping. Stochastics and Stochastics Reports (2000) 71(1–2):1–50Crossref, Google Scholar
- On the problem of optimally stopping one-dimensional Itô diffusions. (2011) . PreprintGoogle Scholar
- A mixed singular/switching control problem for a dividend policy with reversible technology investment. Ann. Appl. Probab. (2008) 18(3):1164–1200Crossref, Google Scholar
- The stochastic goodwill problem. Eur. J. Oper. Res. (2007) 176(1):389–404Crossref, Google Scholar
- A singular control problem with discretionary stopping for geometric Brownian motions. SIAM J. Control Optim. (2010) 48(6):3781–3804Crossref, Google Scholar
- Optimal advertising policy under dynamic conditions. Economica (1962) 29(114):129–142Crossref, Google Scholar
- Optimal stopping and free-boundary problems. (2006) (ETH Zürich, Birkhäuser, Basel, Switzerland) Lectures in MathematicsGoogle Scholar
- Continuous-Time Stochastic Control and Optimization with Financial Applications (2009) (Springer, Berlin/Heidelberg) Crossref, Google Scholar
- Optimal switching over multiple regimes. SIAM J. Control Optim. (2009) 48(4):2217–2253Crossref, Google Scholar
- Optimal stopping of one-dimensional diffusions. Mathematische Nachrichten (1985) 124(1):85–101Crossref, Google Scholar
- Generalized solution in singular stochastic control: The nondegenerate problem. Appl. Math. Optim. (1992) 25(3):225–245Crossref, Google Scholar

