Why Hobbes' state of nature is best modeled by an assurance game

Utilitas 21 (3):297-326 (2009)
Abstract
In this article, I argue that if one closely follows Hobbes' line of reasoning in Leviathan, in particular his distinction between the second and the third law of nature, and the logic of his contractarian theory, then Hobbes' state of nature is best translated into the language of game theory by an assurance game, and not by a one-shot or iterated prisoner's dilemma game, nor by an assurance dilemma game. Further, I support Hobbes' conclusion that the sovereign must always punish the Foole, and even exclude her from the cooperative framework or take her life, if she defects once society is established, which is best expressed in the language of game theory by a grim strategy. That is, compared to existing game-theoretic interpretations of Hobbes, I argue that the sovereign plays a grim strategy with the citizens once society is established, and not the individuals with one another in the state of nature.
Keywords State of nature  Assurance  Compliance  Hobbes' Foole
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DOI 10.1017/S0953820809990069
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Hobbes’s State of Nature: A Modern Bayesian Game-Theoretic Analysis.hun CHung - 2015 - Journal of the American Philosophical Association 1 (3):485--508.

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