Risk sensitive optimal stopping

被引:7
|
作者
Jelito, Damian [1 ]
Pitera, Marcin [1 ]
Stettner, Lukasz [2 ]
机构
[1] Jagiellonian Univ, Inst Math, Krakow, Poland
[2] Polish Acad Sci, Inst Math, Warsaw, Poland
关键词
Optimal stopping; Bellman equation; Risk sensitive control; Risk sensitive criterion; Impulse control; IMPULSE CONTROL-PROBLEMS; FUNCTIONALS; TIME;
D O I
10.1016/j.spa.2021.03.005
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this paper we consider continuous time risk sensitive optimal stopping problem. Using the probabilistic approach and dyadic discrete time approximations we prove continuity of the generic optimal stopping value function for a large class of Feller-Markov processes. Also, we provide formulas for the corresponding optimal stopping policies and study regularity of approximating functions. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码:125 / 144
页数:20
相关论文
共 50 条
  • [41] Markov risk mappings and risk-sensitive optimal prediction
    Tomasz Kosmala
    Randall Martyr
    John Moriarty
    Mathematical Methods of Operations Research, 2023, 97 : 91 - 116
  • [42] Risk-sensitive stopping problems for continuous-time Markov chains
    Baeuerle, Nicole
    Popp, Anton
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 90 (03) : 411 - 431
  • [43] Markov risk mappings and risk-sensitive optimal prediction
    Kosmala, Tomasz
    Martyr, Randall
    Moriarty, John
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2023, 97 (01) : 91 - 116
  • [44] DENUMERABLE MARKOV STOPPING GAMES WITH RISK-SENSITIVE TOTAL REWARD CRITERION
    Torres-Gomar, Manuel A.
    Cavazos-Cadena, Rolando
    Cruz-Suarez, Hugo
    KYBERNETIKA, 2024, 60 (01) : 1 - 18
  • [45] Randomized optimal stopping times for a class of stopping games
    Domansky, VK
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2001, 46 (04) : 708 - 717
  • [46] OPTIMAL STOPPING TIME AND QUASI-STOPPING TIME
    BISMUT, JM
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 284 (23): : 1519 - 1521
  • [47] Stopping sabotage of sensitive data
    不详
    ELECTRONICS WORLD, 2007, 113 (1857): : 8 - 8
  • [48] Partially observed non-linear risk-sensitive optimal stopping control for non-linear discrete-time systems
    Ford, Jason J.
    SYSTEMS & CONTROL LETTERS, 2006, 55 (09) : 770 - 776
  • [49] Optimal Exercise Strategies for Operational Risk Insurance via Multiple Stopping Times
    Targino, Rodrigo S.
    Peters, Gareth W.
    Sofronov, Georgy
    Shevchenko, Pavel V.
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2017, 19 (02) : 487 - 518
  • [50] Risk management for crude oil futures: an optimal stopping-timing approach
    Boubaker, Sabri
    Liu, Zhenya
    Zhan, Yaosong
    ANNALS OF OPERATIONS RESEARCH, 2022, 313 (01) : 9 - 27