Optimal stopping, randomized stopping and singular control with general information flow

2021 ◽  
Vol 66 (4) ◽  
pp. 760-773
Author(s):  
Nacira Agram ◽  
Nacira Agram ◽  
Свен Хаадем ◽  
Sven Haadem ◽  
Бернт Оксендаль ◽  
...  

В этой статье мы преследуем двоякую цель. Во-первых, мы распространяем хорошо известное соотношение между оптимальной остановкой и рандомизированной остановкой заданного случайного процесса на ситуацию, когда доступный поток информации - это фильтрация, которая априори не предполагается как-либо связанной с фильтрацией случайного процесса. В этом случае мы говорим об оптимальной остановке и рандомизированной остановке при общем потоке информации. Во-вторых, следуя идее Н. В. Крылова (1977), мы вводим специальную задачу сингулярного стохастического управления с общей информацией и показываем, что она эквивалентна задачам оптимального управления и рандомизированного управления с частичной информацией. Далее мы показываем, что решение указанной задачи сингулярного управления может быть выражено в терминах вариационных неравенств для частичной информации.

2019 ◽  
Vol 51 (1) ◽  
pp. 450-468 ◽  
Author(s):  
Nacira Agram ◽  
Achref Bachouch ◽  
Bernt Øksendal ◽  
Frank Proske

2020 ◽  
Vol 12 (21) ◽  
pp. 9182
Author(s):  
Ewelina Kania ◽  
Elżbieta Radziszewska-Zielina ◽  
Grzegorz Śladowski

The objective of this paper is to analyse communication and information flow within construction projects on the basis of a survey study and a review of the literature. The subject of communication and its impact on carrying out a construction project is widely discussed in global academic literature. Many scholars point to problems with communication and information flow while also reporting that it directly affects construction project time and cost. In the literature, communication is also presented as an essential factor that improves safety and partnering in construction projects. There is also a group of studies that points to the lack of effective communication as the cause of delays and modifications. The authors, in reference to global studies, present the results of a survey study performed in Poland on a group of 160 construction industry practitioners. Information about five research areas was collected. These areas included: general information about communication and information flow between construction project participants, problems in carrying out construction projects in relation to the lack of effective communication, the impact of communication on the success of carrying out a construction project, communication costs, and the need to develop a tool (a digital system) that would support construction project managers in the optimal control over communication between project participants. On the basis of the obtained research results and the literature study, it was found that effective communication and information flow within a construction project can improve the construction process and that there exists a need to develop a comprehensive approach that would aid construction project managers in ensuring a more effective information flow.


2014 ◽  
Vol 39 (2) ◽  
pp. 464-486 ◽  
Author(s):  
Bernt Øksendal ◽  
Agnès Sulem ◽  
Tusheng Zhang

2018 ◽  
Vol 50 (2) ◽  
pp. 347-372 ◽  
Author(s):  
Tiziano De Angelis ◽  
Giorgio Ferrari

AbstractIn this paper we establish a new connection between a class of two-player nonzero-sum games of optimal stopping and certain two-player nonzero-sum games of singular control. We show that whenever a Nash equilibrium in the game of stopping is attained by hitting times at two separate boundaries, then such boundaries also trigger a Nash equilibrium in the game of singular control. Moreover, a differential link between the players' value functions holds across the two games.


2021 ◽  
Vol 11 (02) ◽  
pp. 190-205
Author(s):  
Charles Kusaya ◽  
Memory Mandiudza ◽  
Nicholas Mwareya ◽  
Confess Matete ◽  
Leonard Shambira ◽  
...  

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