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Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0212-z
Abstract: In the standard optimal stopping problems, actions are artificially restricted to the moments of observations of costs or benefits. In the standard experimentation and learning models based on two-armed Poisson bandits, it is possible to…
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Keywords:
random observations;
models random;
optimal stopping;
stopping problems ... See more keywords
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Published in 2020 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2019.08.010
Abstract: Abstract A game-theoretic framework for time-inconsistent stopping problems where the time-inconsistency is due to the consideration of a non-linear function of an expected reward is developed. A class of mixed strategy stopping times that allows…
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Keywords:
strategy stopping;
inconsistent stopping;
mixed strategy;
time ... See more keywords
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Published in 2019 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2019.57
Abstract: Abstract We present a discrete-type approximation scheme to solve continuous-time optimal stopping problems based on fully non-Markovian continuous processes adapted to the Brownian motion filtration. The approximations satisfy suitable variational inequalities which allow us to…
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Keywords:
discrete type;
non markovian;
markovian optimal;
optimal stopping ... See more keywords
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Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2021.85
Abstract: Abstract We derive closed-form solutions to some discounted optimal stopping problems related to the perpetual American cancellable dividend-paying put and call option pricing problems in an extension of the Black–Merton–Scholes model. The cancellation times are…
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Keywords:
discounted optimal;
optimal stopping;
problems first;
stopping problems ... See more keywords