Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications

The game theory was created on the basis of social as well as gambling games, such as chess, poker, baccarat, hex, or one-armed bandit. The aforementioned games lay solid foundations for analogous mathematical models (e.g., hex), artificial intelligence algorithms (hex), theoretical analysis of comp...

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Main Author: Drabik Ewa
Format: Article
Language:English
Published: Sciendo 2016-01-01
Series:Foundations of Management
Subjects:
Online Access:https://doi.org/10.1515/fman-2016-0022
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author Drabik Ewa
author_facet Drabik Ewa
author_sort Drabik Ewa
collection DOAJ
description The game theory was created on the basis of social as well as gambling games, such as chess, poker, baccarat, hex, or one-armed bandit. The aforementioned games lay solid foundations for analogous mathematical models (e.g., hex), artificial intelligence algorithms (hex), theoretical analysis of computational complexity attributable to various numerical problems (baccarat), as well as illustration of several economic dilemmas - particularly in the case where the winner takes everything (e.g., noughts and crosses). A certain gambling games, such as a horse racing, may be successfully applied to verify a wide spectrum of market mechanism, for example, market effectiveness or customer behavior in light of incoming information regarding a specific product. One of a lot applications of the slot machine (one-armed bandit) is asymptotically efficient allocation rule, which was assigned by T.L. Lai and H. Robbins (1985). In the next years, the rule was developed by another and was named a multi-armed. The aim of the paper is to discuss these social games along with their potential mathematical models, which are governed by the rules predominantly applicable to the social and natural sciences.
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spelling doaj.art-eadf0416abcc494c84b35c69dd3beb092022-12-21T21:59:08ZengSciendoFoundations of Management2300-56612016-01-018128929610.1515/fman-2016-0022fman-2016-0022Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic ApplicationsDrabik Ewa0Warsaw University of Technology, Faculty of Management, Warsaw, PolandThe game theory was created on the basis of social as well as gambling games, such as chess, poker, baccarat, hex, or one-armed bandit. The aforementioned games lay solid foundations for analogous mathematical models (e.g., hex), artificial intelligence algorithms (hex), theoretical analysis of computational complexity attributable to various numerical problems (baccarat), as well as illustration of several economic dilemmas - particularly in the case where the winner takes everything (e.g., noughts and crosses). A certain gambling games, such as a horse racing, may be successfully applied to verify a wide spectrum of market mechanism, for example, market effectiveness or customer behavior in light of incoming information regarding a specific product. One of a lot applications of the slot machine (one-armed bandit) is asymptotically efficient allocation rule, which was assigned by T.L. Lai and H. Robbins (1985). In the next years, the rule was developed by another and was named a multi-armed. The aim of the paper is to discuss these social games along with their potential mathematical models, which are governed by the rules predominantly applicable to the social and natural sciences.https://doi.org/10.1515/fman-2016-0022positional gamessocial games gambling games one-armed bandit chess
spellingShingle Drabik Ewa
Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications
Foundations of Management
positional games
social games
gambling games
one-armed bandit
chess
title Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications
title_full Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications
title_fullStr Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications
title_full_unstemmed Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications
title_short Several Remarks on the Role of Certain Positional and Social Games in the Creation of the Selected Statistical and Economic Applications
title_sort several remarks on the role of certain positional and social games in the creation of the selected statistical and economic applications
topic positional games
social games
gambling games
one-armed bandit
chess
url https://doi.org/10.1515/fman-2016-0022
work_keys_str_mv AT drabikewa severalremarksontheroleofcertainpositionalandsocialgamesinthecreationoftheselectedstatisticalandeconomicapplications