Research (Selected Publications)

Any normative political theory presumes an understanding of the positive processes of its proposed institutional arrangements. As such, I believe that formal theory (viz. game theory or social choice theory), by offering a better understanding of the positive processes of different kinds of political institutions, can greatly help the normative theorizing of political theorists by showing what can and what cannot be realistically achieved from the practical implementation of their proposed political theory. Formal theory can also help us clarify the precise logical relationships between fundamental  normative concepts and, thereby, allow us to understand which set of normative concepts can be coherently endorsed without committing any logical inconsistencies.

You may find my "Research Statement" here.   

Selected Publications and Forthcoming Papers

In this paper, we argue that formal models can serve as a very useful methodological tool in doing normative political theory by: (a) serving as more precise and rigorous versions of the political theorist’s thought experiments; (b) allowing us the rigorously examine the coherence and logical consistencies in our core normative commitments; and (c) informing real-world institutional and policy design. 

In Part III of Anarchy, State, and Utopia, Robert Nozick presents what he calls “the model of possible worlds” to examine the formal properties of utopia, defined as “the best of all possible worlds.” (Nozick 1974: 298). The basic idea is that each person is given the power to create any possible world and its inhabitants by imagining them. Two definitions of stability have been proposed: (a) the non-circular definition according to which a world is stable if and only if nobody can imagine a better world; and (b) the circular definition according to which a world is stable if and only if nobody can imagine a better world that is also stable. In this paper, we prove four theorems (viz., the indeterminacy theorem, the stable dystopia theorem, the nobody’s utopia theorem, and the redundancy theorem) that demonstrate that the circular definition of stability is fundamentally flawed.   

JOP Blog Entry: "Would Helping the Poor Benefit Everybody?"

When distributing the benefits produced by social cooperation, Rawls’s difference principle targets a specific group, i.e. the least advantaged group, and requires its expectations to be maximized. One natural worry is whether the practical application of the difference principle comes with a significant cost to other groups in society. Rawls was quite aware of this potential worry and gave his earnest efforts to respond to it. His solution comes from his notions of chain connection and close-knitness. (Rawls 1971/1999: 69-72) Rawls’s claim was that whenever society satisfies both chain connection and close-knitness, the practical implementation of the difference principle will (a) always lead to strict Pareto improvements, and, as a result, (b) the final state will be Pareto optimal. In this paper, it will be shown that under close scrutiny neither of these claims holds even when society is both chain-connected and close-knit.

Link to Presentation Video:  

Inspired by impossibility theorems of social choice theory, many democratic theorists have argued that aggregative forms of democracy cannot lend full democratic justification for the collective decisions reached. Hence, democratic theorists have turned their attention to deliberative democracy, according to which “outcomes are democratically legitimate if and only if they could be the object of a free and reasoned agreement among equals.” (Cohen 1997a: 73) However, relatively little work has been done to offer a formal theory of democratic deliberation. This paper helps fill that gap by offering a formal theory of three different modes of democratic deliberation: myopic discussion, constructive discussion, and debate. In either form of discussion, positions are considered according to an exogenous protocol and arguments applied to them, whereas in a debate, two participants who have diametrically opposed preferences take turns and propose positions with supporting reasons/arguments. We show that myopic discussion suffers from indeterminacy of long run outcomes, while constructive discussion and debate are conclusive, i.e., both forms of deliberation converge to a position that is maximally justified according to at least one reason/argument. Finally, unlike the other two modes of deliberation, debate is path independent and converges to a unique compromise position, irrespective of the initial status quo.

A well-ordered society faces a crisis whenever a sufficient number of non-compliers intrude society. This has a potential to destabilize political order. This paper provides a formal analysis of two competing solutions to the problem of political stability offered in the public reason liberalism literature – namely, using public reason or using convergence discourse to restore political stability in the well-ordered society. The formal analyses offered in this paper show that using public reason fails completely, while using convergent discourse, although doing better, has its own critical limitations that have not been previously recognized properly. 

One of John Rawls’s major aims, when he wrote A Theory of Justice, was to present a superior alternative to utilitarianism. Rawls’s worry was that utilitarianism may fail to protect the fundamental rights and liberties of persons in its attempt to maximize total social welfare. Rawls’s main argument against utilitarianism was that, for such reasons, the representative parties in the original position will not choose utilitarianism, but will rather choose his justice as fairness, which he believed would securely protect the worth of everybody’s basic rights and liberties. In this paper, I will argue that, under close formal examination, Rawls’s argument against utilitarianism is self-defeating. That is, I will argue that Rawls’s own reasons, assumptions, and the many theoretical devices he employs demonstrably imply that the representative parties in the original position will choose utilitarianism instead of justice as fairness. I will show this through a formal model.


We propose the solution concept of directional equilibrium for the multi-dimensional model of voting with general spatial preferences. This concept isolates alternatives that are stable with respect to forces applied by all voters in the directions of their gradients, and it extends a widely (but not well-) known concept from statistics for Euclidean preferences. We establish connections to the majority core, Pareto optimality, existence and closed graph, and generic local uniqueness and stability of the solution, and we provide non-cooperative foundations in terms of a local contest game played by voters.

A defining characteristic of a liberal democratic society is the assignment of basic rights and liberties that protect each person’s private sphere. Hence, social choice made in a liberal democratic society must at the very least be consistent with the exercise of each person’s basic rights. However, even when everybody agrees to this basic principle, there could still remain irreconcilable social conflict and disagreement when it comes to the specific assignment of basic rights. This is especially so in a pluralistic society where there is a clash among radically different and incompatible world views. Philosophers have now started to focus on this issue, which now goes by the name “perspectival diversity.” This paper extends the basic social choice theoretic framework of liberal rights by extending the domain to include individual perspectives alongside individual preferences. In this new framework, different individuals are able to see or perceive the same social alternative differently based on their own unique perspectives. The formal results of the paper imply that generating a viable social choice that is consistent with the assignment of basic rights can quickly break down once we start to increase the level of perspectival diversity in society.

Public reason liberalism takes as its starting point the deep and irreconcilable diversity we find characterizing liberal societies. This deep and irreconcilable diversity creates problems for social order. One method for adjudicating these conflicts is through the use of rights. This paper is about the ability of such rights to adjudicate disputes when perspectival disagreements – or disagreements over how to categorize objects in the world – obtain. We present both formal possibility and impossibility results for rights structures under varying degrees of perspectival diversity. We show that though perspectival diversity appears to be a troubling problem for the prospect of stable social order, if rights are defined properly then disagreements can likely be resolved in a consistent manner, achieving social cooperation rather than conflict.  

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. 

Ever since the publication of Harry Frankfurt’s “Equality as a Moral Ideal” (1987), the doctrine of sufficiency has attracted great attention among both ethical theorists and political philosophers. The doctrine of sufficiency (or sufficientarianism) consists of two main theses: the positive thesis states that it is morally important for people to have enough; and the negative thesis states that once everybody has enough relative inequality has absolutely no moral importance. Many political philosophers have presented different versions of sufficientarianism that retain the general spirit of what Frankfurt had proposed in his seminal work. However, all of these different versions of sufficientarianism suffer from two critical problems: (a) they fail to give right answers to lifeboat situations, and (b) they fail to provide continuous ethical judgments. In this paper, I show a version of utilitarianism that solves these problems while retaining the major attractions of sufficientarianism. I call it “prospect utilitarianism.” In addition, I show that prospect utilitarianism can avoid standard objections to utilitarianism and has aspects that can appeal to both prioritarians and egalitarians as well.

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.

Hobbes’s own justification for the existence of governments relies on the assumption that, without a government, our lives in the state of nature would result in a state of war of every man against every man. Many contemporary scholars have tried to explain why universal war is unavoidable in Hobbes’s state of nature by utilizing modern game theory. However, most game-theoretic models that have been presented so far do not accurately capture what Hobbes deems to be the primary cause of conflict in the state of nature – which is uncertainty, rather than people’s egoistic psychology. Any game- theoretic model that does not incorporate uncertainty into the picture is, therefore, I claim, the wrong model. In this paper, I use Bayesian game-theory to show how universal conflict can break-out in the state of nature - even when the majority of the population would strictly prefer to cooperate and seek peace with other people - due to uncertainty about the other person’s type. Along the way, I show that the valuation of one’s own life is one of the central mechanisms that drives Hobbes’s pessimistic conclusion.

In his article, “Equality as a Moral Ideal”, Harry Frankfurt argues against economic egalitarianism and presents what he calls the “doctrine of sufficiency.” According to the doctrine of sufficiency, what is morally important is not relative economic equality, but rather, whether somebody has enough, where “having enough” is a non-comparative standard of reasonable contentment that may differ from person to person given his/her aims and circumstances. The purpose of this paper is to show that Frankfurt’s original arguments in support for his doctrine of sufficiency have critical problems that Frankfurt himself does not properly recognize. In the end, I will argue that in order to solve these problems the doctrine of sufficiency cannot help but to incorporate certain prioritarian commitments – commitments which many would view as implying economic egalitarianism. This is embarrassing for a doctrine whose raison d’être was mainly to defeat economic egalitarianism.

Many commentators think that Hobbes was committed to psychological egoism. Psychological egoism is a theory of human psychology that claims that all human actions are ultimately motivated solely by one’s own self-interest. In this paper, I argue that there are reasons to think that Hobbes was not committed to psychological egoism in any of its plausible formulations.

Many commentators think that Hobbes was committed to an instrumental view of rationality which foreshadows that of David Hume. The Humean conception of instrumental rationality is a conjunction of the following two claims: (a) no preferences or desires can properly be said to be irrational in themselves, and (b) the role of reason or rationality can only be confined to informing the agent with true beliefs about the world, and revealing the most effective means that could satisfy the agent’s current ends whatever they happen to be. In this paper, I argue that, unlike what many people think, a careful reading of Hobbes shows that he was committed to neither of these claims.

There seems to be critics who think that game theory can provide very little insights in doing empirical social scientific research or normative political theory/political philosophy. This is because these people tend to think that game theory is committed to some highly contestable theory of human psychology; namely, that human beings either are or should be primarily motivated by their own exclusive self-interest. From this, critics tend to think that game theory is defective both as a normative theory of action as well as a descriptive theory of action. After explaining the basics of game theory, I will try to show that such criticisms are mostly based on a general misunderstanding of game theory. In the end, I will argue that game theory is simply a mathematical tool that could be used to model any strategic interaction for many different purposes, and is not committed to any substantial theories of human nature.