References
Arrow, Kenneth J.Social Choice and Individual Values. New York: Wiley, 1951.
Bernholz, Peter. “Logrolling, Arrow Paradox and Cyclical Majorities.”Public Choice, 15 (Summer, 1973), 87–95.
——. “Logrolling, Arrow-Paradox and Decision Rules: A Generalization.”Kyklos, 27 (fasc. 1, 1974), 49–62.
——. “Logrolling and the Paradox of Voting: Are They Really Equivalent? A Comment.”American Political Science Review, 69 (September, 1975), 961–962.
Black, Duncan.The Theory of Committees and Elections. Cambridge, England: Cambridge University Press, 1958.
Buchanan, James M., and Gordon Tullock.The Calculus of Consent. Ann Arbor: University of Michigan Press, 1962.
Coleman, James S. “The Possibility of a Social Welfare Function.”American Economic Review, 56 (December, 1966), 1105–1122.
Dahl, Robert A.A Preface To Democratic Theory. Chicago: University of Chicago Press, 1956.
Downs, Anthony.An Economic Theory of Democracy. New York: Harper & Row, 1957.
Enelow, James M. “A Few Remarks on Vote Trading, Logrolling, Coalitions of Minorities and the Voters' Paradox.” Unpublished paper, Department of Political Science, University of Rochester, March 1976.
-- and David H. Koehler. “Vote Trading in Context: An Analysis of Cooperative and Non-Cooperative Strategic Voting.” Paper presented at American Political Science Association meeting, Chicago, September, 1976.
Farquharson, Robin.Theory of Voting. New Haven: Yale University Press, 1969.
Ferejohn, John A. “Sour Notes on the Theory of Vote Trading.” Social Science Working Paper, California Institute of Technology, 41 (June, 1974).
--. “Sophisticated Voting With Separable Preferences.” Social Science Working Paper, California Institute of Technology, 77 (March, 1975).
Haefele, Edwin T. “Coalitions, Minority Representation, and Vote Trading Possibilities.”Public Choice, 8 (Spring, 1970), 75–90.
—— “A Utility Theory of Representative Government.”American Economic Review, 61 (June, 1971), 350–367.
Harary, Frank, Robert Z. Norman, and Dorwin Cartwright.Structural Models: An Introduction to the Theory of Directed Graphs. New York: Wiley, 1965.
Hillinger, Claude. “Voting on Issues and Platforms.”Behavioral Science 16 (November, 1971), 564–566.
Kadane, Joseph B. “On Division of the Question.”Public Choice, 13 (Fall, 1972), 47–54.
Koehler, David H. “Vote Trading and the Voting Paradox: A Proof of Logical Equivalence.”American Political Science Review, 69 (September, 1975a), 954–960.
——. “Vote Trading and the Voting Paradox: Rejoinder,”American Political Science Review, 69 (September, 1975b), 967–969.
McKelvey, Richard D., and Richard G. Niemi. “A Multistage Game Representation of Sophisticated Voting for Binary Procedures.” Unpublished paper, 1976.
Miller, Nicholas R.The Structure of Collective Decisions: Committees, Elections, and Parties. Unpublished dissertation, Department of Political Science, University of California, Berkeley, May 1973.
——. “Logrolling and the Arrow Paradox: A Note.”Public Choice, 21 (Spring, 1975), 107–110.
--. “Graph-Theoretical Approaches to the Theory of Voting.”American Journal of Political Science, 21 (November, 1977).
Mueller, Dennis C. “The Possibility of a Social Welfare Function: Comment.”American Economic Review, 57 (December, 1967), 1304–1311.
——, Geoffrey C. Philpotts, and Jaroslav Vanek. “The Social Gains from Exchanging Votes: A Simulation Approach.”Public Choice, 13 (Fall, 1972), 55–80.
Niemi, Richard G., with Richard McKelvey and Bo H. Bjurulf. “Strategic Voting: Some New Results and Some Old Questions.” Paper presented to Seminar on Mathematical Models of Congress, Aspen, Colorado, June 1974.
Oppenheimer, Joe A. “Relating Coalitions of Minorities to the Voters' Paradox or Putting the Fly in the Democratic Pie.” Paper presented to Southwest Political Science Association meeting, San Antonio, Texas, March/April 1972.
——. “Some Political Implications of ‘Vote Trading and the Voting Paradox: A Proof of Logical Equivalence:’ A Comment.”American Political Science Review, 69 (September, 1975), 963–966.
Park, R. E. “The Possibility of a Social Welfare Function: Comment.”American Economic Review, 57 (December, 1967), 1300–1304.
Pennock, J. Roland. “The ‘Pork Barrel’ and Majority Rule: A Note.”Journal of Politics, 32 (August, 1970), 709–716.
Riker, William H., and Steven J. Brams. “The Paradox of Vote Trading.”American Political Science Review, 67 (December, 1973), 1235–1247.
Schwartz, Thomas. “Collective Choice, Separation of Issues and Vote Trading.” Paper presented to Public Choice Society meeting, Chicago, April 1975a (and forthcoming inAmerican Political Science Review).
——. “Vote Trading and Pareto Efficiency.”Public Choice, 24 (Winter, 1975b), 101–109.
--. “Vote Trading and Legislative Instability: A General Theorem.” Unpublished paper, Department of Government, University of Texas at Austin, July 1976.
Urken, Arnold B. “Intensity of Preference, Vote Trading and Collective Outcomes.” Paper presented at American Political Science Association meeting, Chicago, September 1976.
Uslaner, Eric M., and J. Ronnie Davis. “The Paradox of Vote Trading: Effects of Decision Rules and Voting Strategies on Externalities.”American Political Science Review, 69 (September, 1975), 929–942.
Wade, L. L., and R. L. Curry.A Logic of Public Policy. Belmont: Wadsworth, 1970.
Wilson, Robert. “An Axiomatic Model of Logrolling.”American Economic Review, 59 (June, 1969), 331–341.
Author information
Authors and Affiliations
Additional information
What follows is a thoroughly revised version of a paper presented at the Public Choice Society meeting, Roanoke, Virginia, April 1976. It has benefited from comments and criticisms from a number of participants at that meeting and from the editorial guidance of Kenneth Shepsle.
Rights and permissions
About this article
Cite this article
Miller, N.R. Logrolling, vote trading, and the paradox of voting: A game-theoretical overview. Public Choice 30, 51–75 (1977). https://doi.org/10.1007/BF01718818
Issue Date:
DOI: https://doi.org/10.1007/BF01718818