Non-cooperative game theory

A non-cooperative game is a form of game under the topic of game theory. Non-cooperative games are used in situations where there are competition between the players of the game. In this model, there are no external rules that enforces the cooperation of the players therefore it is typically used to model a competitive environment. This is stated in various accounts most prominent being John Nash's paper.^[1]

That being said, there are many arguments to be made regarding this point as with decades of research, it is shown that non-cooperative game models can be used to show cooperation as well and vice versa for cooperative game model being used to show competition.

Some examples of this would be the usage of non-cooperative model in determining the stability and sustainability of cartels and coalitions.^[2]^[3]

Non zero-sum games and zero-sum games are both types of non-cooperative games.^[4]

^ Nash, John (1951). "Non-Cooperative Games". Annals of Mathematics. 54 (2): 286–295. doi:10.2307/1969529. ISSN 0003-486X. JSTOR 1969529.
^ Palsule-Desai, Omkar D. (2015-03-01). "Complete Versus Partial Collusion in Competing Coalitions". International Game Theory Review. 17 (1): 1540006. doi:10.1142/S021919891540006X. ISSN 0219-1989.
^ Carraro, Carlo, ed. (2003-06-26). The Endogenous Formation of Economic Coalitions. Edward Elgar Publishing. doi:10.4337/9781781009888. ISBN 978-1-78100-988-8.
^ Ibrahim, Khalid (4 October 2021). "Anti-Jamming Game to Combat Intelligent Jamming for Cognitive Radio Networks". IEEE Access. 9: 137941–137956. doi:10.1109/ACCESS.2021.3117563. S2CID 238751752.

[:7-1] Nash, John (1951). "Non-Cooperative Games". Annals of Mathematics. 54 (2): 286–295. doi:10.2307/1969529. ISSN 0003-486X. JSTOR 1969529.

[2] Palsule-Desai, Omkar D. (2015-03-01). "Complete Versus Partial Collusion in Competing Coalitions". International Game Theory Review. 17 (1): 1540006. doi:10.1142/S021919891540006X. ISSN 0219-1989.

[3] Carraro, Carlo, ed. (2003-06-26). The Endogenous Formation of Economic Coalitions. Edward Elgar Publishing. doi:10.4337/9781781009888. ISBN 978-1-78100-988-8.

[Anti-Jamming_in_CRN-4] Ibrahim, Khalid (4 October 2021). "Anti-Jamming Game to Combat Intelligent Jamming for Cognitive Radio Networks". IEEE Access. 9: 137941–137956. doi:10.1109/ACCESS.2021.3117563. S2CID 238751752.

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