Books:
Simple Games: Desirability Relations, Trading, and Pseudoweightings (with A. Taylor), Princeton University Press, 1999.
Articles:
- Flipping Properties: A Unifying thread in the Theory of Large Cardinals (with F. Abramson, L. Harrington, and E. Kleinberg), Annals of Math. Logic 12 (1977) 37–58.
- A Remark on Part*(k,l) (with C. A. DiPrisco), Acta CientificaVenezolana 29 (1978) 365–366.
- Flipping properties and supercompact cardinals (with C. A. DiPrisco), Fundamenta Mathematicae CIX (1980) 31–36.
- Ultrafilters on spaces of partitions (with J. Henle), Journal of Symbolic Logic 47 (1982) 137–146.
- "Pkl Combinatorics I: Stationary coding sets rationalize the club filter", in Axiomatic Set Theory, Contemporary Mathematics Vol. 31 (1984), American Mathematical Society, Providence R. I., 243–259.
- Pkl Combinatorics II: The RK ordering beneath a supercompact cardinal, Journal of Symbolic Logic 51 (1986) 605–616.
- Playing games with games: the hypergame paradox, American Mathematical Monthly 90 (1987) 507–514.
- Filter spaces: Towards a unified theory of large cardinals and embedding axioms (with A. Apter, C. DiPrisco, and J. Henle), Annals of Pure and Applied Logic 41 (1989) 93–106.
- "A beginning for structural properties of ideals on Pkl", in Set Theory and its Applications (1987 conference proceedings, York University) Springer Lecture Notes 1401 (1989) 201–217.
- The voters' paradox, spin, and the Borda count, Mathematical Social Sciences 22 (1991) 187–227.
- A characterization of weighted voting (with A. Taylor), Proceedings of the American Mathematical Society 115 (1992) 1089–1094.
- Weighted voting, multicameral representation, and power (with A. Taylor), Games and Economic Behavior 5 (1993) 170–181.
- Simple games and magic squares (with A. Taylor), Journal of Combinatorial Theory (A) 71 (1995) 67–88.
- Old and new moving-knife schemes (with S. Brams and A. Taylor), Mathematical Intelligencer 7 (1995) 30–35.
- Social choice and the Catalan numbers (with S. Young, and A. Taylor), Mathematics Magazine 68 (1995) 331–342.
- Quasi-weightings, trading, and desirability relations in simple games (with A. Taylor), Games and Economic Behavior 16 (1996) 331–346.
- Interval measures of power (with A. Taylor), Mathematical Social Sciences 33 (February, 1997) 23–74.
- A moving-knife solution to the four-person envy-free cake-division problem (with S. Brams and A. Taylor), Proceedings of the American Mathematical Society 125 No. 2 (Feb., 1997) 547–554.
- Two applications of a theorem of Dvoretsky, Wald, and Wolfovitz to cake division (with J. Barbanel), Theory and Decision 43 (1997) 203–207.
- Voting on referenda: the separability problem and possible solutions (with S. Brams and D. M. Kilgour), Electoral Studies 16 No. 3 (1997) 359–357.
- The Paradox of Multiple Elections (with S. Brams and D. M. Kilgour), Social Choice and Welfare 15 No. 8 (1998) 211–236.
- The bicameral postulates and indices of a priori voting power (with D. Felsenthal and M. Machover), Theory and Decision 44 (1998): 83–116.
- Trading properties and Alexandrov kernels for boolean functions (with A. Taylor), Discrete Applied Mathematics, 107 (2000), 203–214.
- Coalition formation games with separable preferences (with N. Burani), Mathematical Social Sciences 45 (2003) 27-52.
- Weighted voting, abstention, and multiple levels of approval (with J. Freixas), Social Choice and Welfare 21 (2003), 399-431.
- Which scoring rule maximizes Condorcet efficiency? (with D. Cervone and W. Gehrlein), Theory & Decision 58 (2005) 145-185
- Anonymous voting games with abstention and multiple levels of approval, Part I: two classification theorems (2007, with J. Freixas) to appear in Games and Economic Behavior.
Preprints:
- When is a vote an average? 2006.
- Convex Decompositions (with Davide Cervone), 2006.
- One-way monotonicity as a form of strategy-proofness (with M. Remzi Sanver), 2006.
Math Department web pages
Created: 13 Nov 2000
Last modified: 26 Jan 2007 11:01:17
Comments to:math@union.edu
Faculty and Staff Publications (Karl Zimmermann)