exists a Condorcet winner, then selecting that winner is the unique resolute, neutral, anonymous, and non-manipulable voting rule. May's theorem states that when there are only two candidates, Simple majority vote is the unique neutral, anonymous, and positively responsive voting rule. See also Compensation principle Computational social choice Condorcet paradox Emotional choice theory Extended sympathy Game theory Group decision-making Justice (economics) Liberal paradox Mechanism design Nakamura number Rational choice theory Rule according to higher law Voting system Notes References Arrow, Kenneth J. (1951, 2nd ed., 1963). Social Choice and Individual Values, New York: Wiley. _, (1972). "General Economic Equilibrium: Purpose, Analytic Techniques, Collective Choice", Nobel Prize Lecture, Link to text, with Section 8 on the theory and background. _, (1983). Collected Papers, v. 1, Social Choice and Justice, Oxford: Blackwell Arrow, Kenneth J., Amartya K. Sen, and Kotaro Suzumura, eds. (1997). Social Choice Re-Examined, 2 vol., London: Palgrave Macmillan & _, eds. (2002). Handbook of Social Choice and Welfare, v. 1. Chapter-preview links. _, ed. (2011). Handbook of Social Choice and Welfare, v. 2, Amsterdam: Elsevier. Chapter-preview links. Bossert, Walter and John A. Weymark (2008). "Social Choice (New Developments)," The New Palgrave Dictionary of Economics, 2nd Edition, London: Palgrave Macmillan Abstract. Dryzek, John S. and Christian List (2003). "Social Choice Theory and Deliberative Democracy: A Reconciliation," British Journal of Political Science, 33(1), pp. 1-28, https://www.jstor.org/discover/10.2307/4092266?uid=3739936&uid=2&uid=4&uid=3739256&sid=21102056001967, 2002 PDF link. Feldman, Allan M. and Roberto Serrano (2006). Welfare Economics and Social Choice Theory, 2nd ed., New York: Springer , Arrow-searchable chapter previews. Fleurbaey, Marc (1996). Théories économiques de la justice, Paris: Economica. Harsanyi, John C. (1987). "Interpersonal Utility Comparisons," The New Palgrave: A Dictionary of Economics, v. 2, London: Palgrave, pp. 955–58. Robbins, Lionel (1935). An Essay on the Nature and Significance of Economic Science, 2nd ed., London: Macmillan, ch. VI , (1938). "Interpersonal Comparisons of Utility: A Comment," Economic Journal, 43(4), 635–41. Sen, Amartya K. (1970 [1984]). Collective Choice and Social Welfare, New York: Elsevier Description. _, (1998). "The Possibility of Social Choice", Nobel Prize Lecture . _, (1987). "Social Choice," The New Palgrave: A Dictionary of Economics, v. 4, London: Palgrave, pp. 382–93. _, (2008). "Social Choice,". The New Palgrave Dictionary of Economics, 2nd Edition, London: Palgrave Abstract. . A comprehensive reference from a computational perspective; see Chapter 9. Downloadable free online. Suzumura, Kotaro (1983). Rational Choice, Collective Decisions, and Social Welfare, Cambridge: Cambridge University Press External links Social Choice