On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process
The term “learning” is often used to refer to a generally stable behavioral change resulting from practice. However, it is a fundamental biological capacity far more developed in humans than in other living beings. In an animal or human being, the learning phase may often be viewed as a series of ch...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1064803 |
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| _version_ | 1832549481249243136 |
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| author | Ali Turab Awad A. Bakery O. M. Kalthum S. K. Mohamed Wajahat Ali |
| author_facet | Ali Turab Awad A. Bakery O. M. Kalthum S. K. Mohamed Wajahat Ali |
| author_sort | Ali Turab |
| collection | DOAJ |
| description | The term “learning” is often used to refer to a generally stable behavioral change resulting from practice. However, it is a fundamental biological capacity far more developed in humans than in other living beings. In an animal or human being, the learning phase may often be viewed as a series of choices between multiple possible reactions. Here, we analyze a specific type of human learning process related to gambling in which a subject inserts a poker chip to operate a two-armed bandit device and then presses one of the two keys. Through the use of an electromagnet, one or more poker chips are given to the individual in a container located in the apparatus’s center. If a chip is provided, it is declared a winner; otherwise, it is considered a loser. The goal of this paper is to look at the subject’s actions in such situations and provide a mathematical model that is appropriate for it. The existence of a unique solution to the suggested human learning model is examined using relevant fixed point results. |
| format | Article |
| id | doaj-art-e903ebb336b147709849abd8fb35a65c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e903ebb336b147709849abd8fb35a65c2025-02-03T06:11:19ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1064803On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning ProcessAli Turab0Awad A. Bakery1O. M. Kalthum S. K. Mohamed2Wajahat Ali3Department of Mathematics and StatisticsCollege of Science and Arts at KhulisCollege of Science and Arts at KhulisSchool of ScienceThe term “learning” is often used to refer to a generally stable behavioral change resulting from practice. However, it is a fundamental biological capacity far more developed in humans than in other living beings. In an animal or human being, the learning phase may often be viewed as a series of choices between multiple possible reactions. Here, we analyze a specific type of human learning process related to gambling in which a subject inserts a poker chip to operate a two-armed bandit device and then presses one of the two keys. Through the use of an electromagnet, one or more poker chips are given to the individual in a container located in the apparatus’s center. If a chip is provided, it is declared a winner; otherwise, it is considered a loser. The goal of this paper is to look at the subject’s actions in such situations and provide a mathematical model that is appropriate for it. The existence of a unique solution to the suggested human learning model is examined using relevant fixed point results.http://dx.doi.org/10.1155/2022/1064803 |
| spellingShingle | Ali Turab Awad A. Bakery O. M. Kalthum S. K. Mohamed Wajahat Ali On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process Journal of Function Spaces |
| title | On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process |
| title_full | On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process |
| title_fullStr | On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process |
| title_full_unstemmed | On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process |
| title_short | On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process |
| title_sort | on a unique solution of the stochastic functional equation arising in gambling theory and human learning process |
| url | http://dx.doi.org/10.1155/2022/1064803 |
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