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The Ohio State University

1. Berry, Tyrus Hunter. An overview of Optimal Stopping Times for various discrete time games.

Degree: MS, Mathematics, 2008, The Ohio State University

The best strategy for three discrete time games is shown to be equivalent to a stopping time. These stopping times are found and uniqueness is considered. The games considered have sequences of random rewards which the player observes one at a time. In the first game the player must pay for each observation but can quit and take the highest reward he has seen at any time. In the second game the player can only take the last reward seen and there are only finitely many rewards to view. In the final game the player can only pick one reward but he wins only if he has chosen the highest reward of all the draws (so he must beat all the draws that come after his choice). Advisors/Committee Members: Fangyang, Zheng (Committee Co-Chair), Pittel, Boris (Advisor).

Subjects/Keywords: Mathematics; optimal stopping; optimal strategy

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Berry, T. H. (2008). An overview of Optimal Stopping Times for various discrete time games. (Masters Thesis). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1211918753

Chicago Manual of Style (16th Edition):

Berry, Tyrus Hunter. “An overview of Optimal Stopping Times for various discrete time games.” 2008. Masters Thesis, The Ohio State University. Accessed February 20, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1211918753.

MLA Handbook (7th Edition):

Berry, Tyrus Hunter. “An overview of Optimal Stopping Times for various discrete time games.” 2008. Web. 20 Feb 2019.

Vancouver:

Berry TH. An overview of Optimal Stopping Times for various discrete time games. [Internet] [Masters thesis]. The Ohio State University; 2008. [cited 2019 Feb 20]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1211918753.

Council of Science Editors:

Berry TH. An overview of Optimal Stopping Times for various discrete time games. [Masters Thesis]. The Ohio State University; 2008. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1211918753

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