On a Unique Solution of the Stochastic Functional Equation Arising in Gambling Theory and Human Learning Process. (20th January 2022)

• Record Type: Journal Article
• Authors: Turab, Ali; Bakery, Awad A.; Mohamed, O. M. Kalthum S. K.; Ali, Wajahat
• Other Names: Kumar Santosh Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-01-20
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/1064803
• Languages: English
• ISSNs: 2314-8896

Abstract

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.