A Nash equilibrium against gun control

Saccal, Alessandro (2022): A Nash equilibrium against gun control.

Abstract

This work constructs a non-cooperative, static game of gun control between the citizen and a pacifistic society characterised by law enforcement imperfection, by which the retention of firearms and the certitude of punishment against all crimes emerges both as a strict Nash equilibrium, in pure strategies, and as a strict dominant strategy equilibrium. The reason is that ratified by the Second Amendment to the American Constitution, discerning the necessity of a militia to the individual and societal security of a free state, by which the right of the people to keep and bear arms cannot be infringed.

• Item Type: MPRA Paper
• Language: English
• Keywords: citizen; criminal; equilibrium; felon; game; guns; mass murderer; payoff; punishment; society; suicide.
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games; D - Microeconomics > D7 - Analysis of Collective Decision-Making > D74 - Conflict ; Conflict Resolution ; Alliances ; Revolutions; K - Law and Economics > K1 - Basic Areas of Law > K14 - Criminal Law; K - Law and Economics > K3 - Other Substantive Areas of Law > K39 - Other; K - Law and Economics > K4 - Legal Procedure, the Legal System, and Illegal Behavior > K42 - Illegal Behavior and the Enforcement of Law

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