Should social choice be based on binary comparisons?

References

• Armstrong , W. E. 1939 . The determinateness of the utility function . Economic Journal , 49 : 453 – 467 .
   Web of Science ®Google Scholar
• Armstrong , W. E. 1951 . Utility and the theory of welfare . Oxford Economic Papers, N.S. , 3 : 259 – 271 .
   Web of Science ®Google Scholar
• Arrow , K. J. 1963 . Social Choice and Individual Values, , 2nd , New York : Wiley .
   Google Scholar
• Black , D. 1958 . The Theory of Committees and Elections , Cambridge , England : Cambridge University Press .
   Google Scholar
• Blau , J. H. 1957 . The existence of social welfare functions . Econometrica , 25 : 302 – 313 .
   Web of Science ®Google Scholar
• Condorcet , Marquis de . 1785 . Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix Paris
   Google Scholar
• Dahl , R. A. 1956 . A Preface to Democratic Theory , Chicago : The University of Chicago Press .
   Google Scholar
• Downs , A. 1961 . In defense of majority voting . Journal of Political Economy , 69 : 192 – 199 .
   Web of Science ®Google Scholar
• Fishburn , P. C. 1970 . The irrationality of transitivity in social choice . Behavioral Science , 15 : 119 – 123 .
   Google Scholar
• Fishburn , P. C. 1970 . Intransitive individual indifference and transitive majorities . Econometrica , 38 : 482 – 489 .
   Web of Science ®Google Scholar
• Harsanyi , J. C. 1953 . Cardinal utility in welfare economics and in the theory of risk‐taking . Journal of Political Economy , 61 : 434 – 435 .
   Web of Science ®Google Scholar
• Harsanyi , J. C. 1955 . Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility . Journal of Political Economy , 63 : 309 – 321 .
   Web of Science ®Google Scholar
• Hildreth , C. 1953 . Alternative conditions for social orderings . Econometrica , 21 : 81 – 94 .
   Web of Science ®Google Scholar
• Luce , R. D. 1956 . Semiorders and a theory of utility discrimination . Econometrica , 24 : 178 – 191 .
   Web of Science ®Google Scholar
• Luce , R. D. and Raiffa , H. 1957 . Games and Decisions , New York : Wiley .
   Google Scholar
• May , K. O. 1952 . A set of independent necessary and sufficient conditions for simple majority decision . Econometrica , 20 : 680 – 684 .
   Google Scholar
• May , K. O. 1953 . A note on the complete independence of the conditions for simple majority decision . Econometrica , 21 : 172 – 173 .
   Web of Science ®Google Scholar
• Pattanaik , P. K. 1968 . A note on democratic decision and the existence of choice sets . Review of Economic Studies , 35 : 1 – 9 .
   Web of Science ®Google Scholar
• Pattanaik , P. K. 1968 . Risk, impersonality, and the social welfare function . Journal of Political Economy , 76 : 1152 – 1169 .
   Web of Science ®Google Scholar
• Rae , D. W. 1969 . Decision‐rules and individual values in constitutional choice . American Political Science Review , 63 : 40 – 63 .
   Web of Science ®Google Scholar
• Riemer , N. 1951–52 . The case for bare majority rule . Ethics , 62 : 16 – 32 .
   Web of Science ®Google Scholar
• Schick , F. 1969 . Arrow's proof and the logic of preference . Philosophy of Science , 36 : 127 – 144 .
   Web of Science ®Google Scholar
• Sen , A. K. 1966 . A possibility theorem on majority decisions . Econometrica , 34 : 491 – 499 .
   Web of Science ®Google Scholar
• Strotz , R. H. 1958 . How income ought to be distributed: a paradox in distributive ethics . The Journal of Political Economy , 66 : 189 – 205 .
   Web of Science ®Google Scholar
• Taylor , M. 1969 . Proof of a theorem on majority role . Behavioral Science , 14 : 228 – 231 .
   Google Scholar
• Vickrey , W. 1960 . Utility, strategy, and social decision rules . Quarterly Journal of Economics , 74 : 507 – 535 .
   Web of Science ®Google Scholar
• von Neumann , J. and Morgenstern , O. 1947 . Theory of Games and Economic Behavior, , 2nd , Princeton , New Jersey : Princeton University Press .
   Google Scholar
• This work was supported in part by the Office of Naval Research, Contract No. N00014–67‐C‐0434. The author's present address is: The Institute for Advanced Study, Princeton, N.J. 08540.
   Google Scholar
• I am grateful to Professor Kenneth J. Arrow for his comments on a previous draft of this paper.
   Google Scholar