On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process
Turab, Ali; Bakery, Awad A.; Mohamed, O. M.Kalthum S.K.; Ali, Wajahat;
Abstract
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.
Other data
Title | On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process | Authors | Turab, Ali; Bakery, Awad A. ; Mohamed, O. M.Kalthum S.K.; Ali, Wajahat | Issue Date | 1-Jan-2022 | Journal | Journal of Function Spaces | ISSN | 23148896 | DOI | 10.1155/2022/1064803 | Scopus ID | 2-s2.0-85124214340 |
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