<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

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

Warsaw University of Technology, Faculty of Management, Warsaw, Poland

Foundations of Management

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Dec 30, 2016

Page range: 289 - 296

DOI: https://doi.org/10.1515/fman-2016-0022

Keywords
positional games, social games, gambling games, one-armed bandit, chess

© 2016 Ewa Drabik

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 30, 2016

Page range: 289 - 296

DOI: https://doi.org/10.1515/fman-2016-0022

Keywordspositional games, social games, gambling games, one-armed bandit, chess

© 2016 Ewa Drabik

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
positional games, social games, gambling games, one-armed bandit, chess