Locke rejected anarchism. Locke defended the universal necessity of political governments on the grounds that the state of nature will occasionally generate the inconveniences of war. The standard interpretation of Locke identifies three main causes of war in the state of nature: the lack of a common judge, moral disagreement over the law of nature, and self-love. In this paper, I argue that the combination of these three factors does not guarantee that war will occur in every plausible scenarios of (...) Locke’s state of nature. Instead, in order for war to occur at least sometimes in every plausible scenario of Locke’s state of nature, there has to be some sort of epistemic deficit. In this paper, I show via the tools of modern game theory, how Locke’s state of nature may occasionally generate war by two kinds of epistemic problems implied by Locke’s own epistemology: disagreements in subjective probabilities, and uncertainty in other people’s moral motivation to use force to enforce the law of nature. The fact that war occurs primarily because of such epistemic problems suggests a role for a very limited form of government; namely, the ultra-ultra-minimal state, whose role is confined to solving such epistemic problems. (shrink)

Recently, philosophers have drawn on tools from game theory to explore behavior in Hobbes’ state of nature. I take a similar approach and argue the Lockean state of nature is best conceived of as a conflictual coordination game. I also discuss Nozick’s famous claim regarding the emergence of the state and argue the path to the minimal state is blocked by a hitherto unnoticed free-rider problem. Finally, I argue that on my representation of the Lockean state of nature both widespread (...) conflict and lasting peace are possible. This, I contend, is in line with one popular interpretation of Locke. (shrink)

In Book 1 of Plato’s Republic, Thrasymachus contends two major claims: (1) justice is the advantage of the stronger, and (2) justice is the good of the other, while injustice is to one’s own profit and advantage. In the beginning of Book II, Glaucon self-proclaims that he will be representing Thrasymachus’ claims in a better way, and provides a story of how justice has originated from a state of nature situation. However, Glaucon’s story of the origin of justice has an (...) implication that justice is the advantage of the weak rather than the stronger. This is inconsistent with Thrasymachus’ first claim which states that justice is the advantage of the stronger. This is a problem for Glaucon since Glaucon is supposed to be representing Thrasymachus’ original claims in a better way. In this paper, I provide two solutions to this puzzle with the help of elementary game theory. (shrink)

Game theory is the systematic study of interdependent rational choice. It should be distinguished from decision theory, the systematic study of individual (practical and epistemic) choice in parametric contexts (i.e., where the agent is choosing or deliberating independently of other agents). Decision theory has several applications to ethics (see Dreier 2004; Mele and Rawlings 2004). Game theory may be used to explain, to predict, and to evaluate human behavior in contexts where the outcome of action depends on what several agents (...) choose to do and where their choices depend on what others choose to do. (See the entry on game theory) Game theory consequently is relevant to ethics, and it is used in moral and political philosophy in a variety of ways. We shall concentrate on the influence and use of game theory in ethics and those parts of political theory involving norms or principles of justice, ignoring questions about political and legal institutions on the one hand and questions about issues dealing with moral virtues on the other. (shrink)

John Rawls’s most mature notion of political order is “stability for the right reasons.” Stability for the right reasons is the kind of political order that Rawls hoped a well-ordered society could ideally achieve. In this paper, I demonstrate through the tools of modern game theory, the instability of “stability for the right reasons.” Specifically, I will show that a well-ordered society can completely destabilize by the introduction of an arbitrarily small number of non- compliers whenever individuals fail to achieve (...) full common knowledge ever so slightly. (shrink)

According to Hobbes, individuals care about their relative standing in a way that shapes their social interactions. To model this aspect of Hobbesian psychology, this paper supposes that agents have social preferences, that is, preferences about their comparative resource holdings. Introducing uncertainty regarding the social preferences of others unleashes a process of trust-unravelling, ultimately leading to Hobbes’s ‘state of war’. This Trust-unravelling Model incorporates important features of Hobbes’s argument that past models ignore.

Hobbes believed that the state of nature would be a war of all against all. Locke denied this, but acknowledged that in the absence of government, peace is insecure. In this paper, I analyse both accounts of the state of nature through the lens of classical and experimental game theory, drawing especially on evidence concerning the effects of punishment in public goods games. My analysis suggests that we need government not to keep wicked or relentlessly self-interested individuals in line, but (...) rather to maintain peace among those who disagree about morality. (shrink)

This paper considers contractarianism as a method of justification. The analysis accepts the key tenets of contractarianism: expected utility maximization, unanimity as the criteria of acceptance, and social-scientific uncertainty of modelled agents. In addition to these three features, however, the analysis introduces a fourth feature: a criteria of rational belief formation, viz. Bayesian belief updating. Using a formal model, this paper identifies a decisive objection to contractarian justification. Insofar as contractarian projects approximate the Agreement Model, therefore, they fail to justify (...) their conclusions. Insofar as they fail to approximate the Agreement Model, they must explain which modelling assumption they reject. (shrink)

Game theory has proven useful in clarifying Hobbes’s argument that the state of nature will inevitably devolve into a state of war. Mathematically-leaning philosophers, however, have paid little attention to Rousseau’s depiction of the state of nature as a peaceful, asocial state of solitary wanderers. This paper articulates Rousseau’s critique of Hobbes in formal terms, which pinpoints two crucial issues in Hobbes’s account: the lack of an exit option and an unrealistic depiction of human nature. Building upon recent game-theoretic treatments (...) of Hobbes, we first construct a model that incorporates Rousseau’s criticisms by permitting an exit option and endogenizing human preferences and capacities. Second, we draw out the implications of Rousseau’s analysis for the question of political authority, which cannot be answered, as Hobbes believed, by invoking a hypothetical state of nature. (shrink)

Computational philosophy is the use of mechanized computational techniques to instantiate, extend, and amplify philosophical research. Computational philosophy is not philosophy of computers or computational techniques; it is rather philosophy using computers and computational techniques. The idea is simply to apply advances in computer technology and techniques to advance discovery, exploration and argument within any philosophical area. -/- After touching on historical precursors, this article discusses contemporary computational philosophy across a variety of fields: epistemology, metaphysics, philosophy of science, ethics and (...) social philosophy, philosophy of language and philosophy of mind, often with examples of operating software. Far short of any attempt at an exhaustive treatment, the intention is to introduce the spirit of each application by using some representative examples. (shrink)

Hobbes’s state of nature is often analyzed in two-person two-action non-cooperative games. By definition, this literature only focuses on duels. Yet, if we consider general games, i.e., with more than two agents, analyzing Hobbes’s state of nature in terms of duel is not completely satisfactory, since it is a very specific interpretation of the war of all against all. Therefore, we propose a definition of the state of nature for games with an arbitrary number of players. We show that this (...) definition coincides with the strategy profile considered as the state of nature in two-person games. Furthermore, we study what we call rational states of nature. We show that in rational states of nature, the utility level of any agent is equal to his maximin payoff. We also show that rational states of nature always exist in inessential games. Finally, we prove the existence of states of nature in a class of symmetric games. (shrink)