6. Voting and Elections: References ## **Voting and Elections: References **

**Feature Column Archive**

**6. References**

Arrow, K., Collected Papers, Volume 1: Social Choice and Justice, Harvard U. Press, Cambridge, 1983.

Arrow, K., Social Choice and Individual Values, Wiley, New York, 1963.

Bartholdi, J. and C. Tovey, and M. Trick, Voting schemes for which it can be difficult to tell who won the election, Social Choice and Welfare 6 (1989) 157-166.

Black, D., Theory of Committees and Elections, Cambridge U. Press, Cambridge, 1958.

Brams, S., Paradoxes in Politics, Free Press, New York, 1976.

Brams, S., and P. Fishburn, Approval Voting, American Political Science Review, 72 (1978) 831-47.

Brams, S., and P. Fishburn, Approval Voting, Birkhauser, Boston, 1983.

Brams, S., and J. Nagel, Approval voting in practice, Public Choice, 71 (1991) 1-17.

Fishburn, P., The Theory of Social Choice, Princeton U. Press, Princeton, 1973.

Fishburn, P., Monotonicity paradoxes in the theory of elections, Discrete Applied Mathematics 4 (1982) 119-34.

Fishburn, P. and S. Brams, Paradoxes of preferential voting, Mathematics Magazine 56 (1983) 207-214.

Fishburn, P. and S. Brams, Manipulability of voting systems by sincere truncation of preferences, Public Choice 44 (1984) 397-410.

Gehrlein, W. and F. Valognes, Condorcet efficiency: A preference for indifference, Soc Choice Welfare 18 (2001) 193-205.

Gibbard, A., Manipulation of voting schemes: a general result, Econometrica 41 (1973) 587-601.

Hemaspaandra, E. and L. Hemaspaandra, Computational Politics: Electoral Politics, in Lecture Notes in Computer Science, Volume 1893, Springer-Verlag, New York, 2000, p. 64-83.

Hemaspaandra, E. and L. Hemaspaandra, J. Rothe, Exact Analysis of Dodgson Elections: Lewis Carroll's 1876 Voting System is Complete for Parallel Access to NP, J. of ACM 44 (1997) 859-879.

Kemeny, J. Mathematics without numbers, Daedalus 88 (1959) 571-591.

Lepelley, D., and P. Peirron, F. Valognes, Scoring rules, Condorcet efficiency and social homogeneity, Theory and Decision 49 (2000) 175-196.

McLean, I., and A. Urken (eds.), Classics of Social Choice, U. Michigan Press, Ann Arbor, 1995.

McLean, I., The first golden age of social choice, 1784-1803, in Social Choice, Welfare and Ethics, W. Barnette, H. Moulin, M. Salles, and N. Schofeld, (eds.), Cambridge U. Press, New York, 1995, p. 13-36.

Merlin, V., and M. Tataru, F. Valognes, On the probability that all decision rules select the same winner, J. of Mathematical Economics 33 (2000) 183-207.

Moulin, H. Axioms of Cooperative Decision Making, Cambridge U. Press, New York, 1981.

Moulin, H., Fairness and Strategy in Voting, in Fair Allocation, H. Young, (ed.), American Mathematical Society, Providence, 1985, p. 109-142.

Moulin, H. Social Choice, in Handbook of Game Theory, Volume 2, ed. R Aumann and S. Hart, Elsevier Science, New York, 1994.

Rae, D., The Political Consequences of Electoral Laws, Revised Edition, Yale University Press, New Haven, 1971.

Saari, D., Geometry of Voting, Springer-Verlag, New York, 1994.

Saari, D., Basic Geometry of Voting, Springer-Verlag, New York, 1995.

Saari, D., Chaotic Elections!, American Mathematical Society, Providence, 2000.

Saari, D., Decisions and Elections, Cambridge U. Press, New York, 2001.

Saari, D. and F. Valognes, Geometry, Voting and Paradoxes, Mathematics Magazine 71 (1998) 243-259.

Saari, D. and F. Valognes, The Geometry of Black's single peakedness and related conditions, J. of Mathematical Economics 32 (1999) 429-456.

Satterthwaite, M., Strategy-proofness and Arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions, J. of Economic Theory, 10 (1975) 187-217.

Straffin, P., Topics in the Theory of Voting, Birkhauser, Boston, 1980.

Straffin, P., Game Theory and Strategy, Mathematical Association of America, Washington, 1993.

Taylor, A., Mathematics and Politics, Springer-Verlag, New York, 1995.

Young, H., An axiomatization of Borda’s rule, J. Econ. Theory, 9 (1974) 43-52.

Young, H., Social choice scoring functions, SIAM J. of Appllied Mathematics, 28 (1975) 824-38.

Young, H. (ed.), Fair Allocation, American Mathematical Society, Providence, 1985.

Young, H., Condorcet’s theory of voting, America Political Science Review 82 (1988) 1231-44.