[HOME] Math Department (Publications) [Prev][Up]

Publications (William Zwicker)


Book:

Simple Games: Desirability Relations, Trading, and Pseudoweightings (with A. Taylor), Princeton University Press, 1999.

Articles:

  1. 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.

  2. A Remark on Part*(k,l) (with C. A. DiPrisco), Acta CientificaVenezolana 29 (1978) 365–366.

  3. Flipping properties and supercompact cardinals (with C. A. DiPrisco), Fundamenta Mathematicae CIX (1980) 31–36.

  4. Ultrafilters on spaces of partitions (with J. Henle), Journal of Symbolic Logic 47 (1982) 137–146.

  5. "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.

  6. Pkl Combinatorics II: The RK ordering beneath a supercompact cardinal, Journal of Symbolic Logic 51 (1986) 605–616.

  7. Playing games with games: the hypergame paradox, American Mathematical Monthly 90 (1987) 507–514.

  8. 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.

  9. "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.

  10. The voters' paradox, spin, and the Borda count, Mathematical Social Sciences 22 (1991) 187–227.

  11. A characterization of weighted voting (with A. Taylor), Proceedings of the American Mathematical Society 115 (1992) 1089–1094.

  12. Weighted voting, multicameral representation, and power (with A. Taylor), Games and Economic Behavior 5 (1993) 170–181.

  13. Simple games and magic squares (with A. Taylor), Journal of Combinatorial Theory (A) 71 (1995) 67–88.

  14. Old and new moving-knife schemes (with S. Brams and A. Taylor), Mathematical Intelligencer 7 (1995) 30–35.

  15. Social choice and the Catalan numbers (with S. Young, and A. Taylor), Mathematics Magazine 68 (1995) 331–342.

  16. Quasi-weightings, trading, and desirability relations in simple games (with A. Taylor), Games and Economic Behavior 16 (1996) 331–346.

  17. Interval measures of power (with A. Taylor), Mathematical Social Sciences 33 (February, 1997) 23–74.

  18. 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.

  19. Two applications of a theorem of Dvoretsky, Wald, and Wolfovitz to cake division (with J. Barbanel), Theory and Decision 43 (1997) 203–207.

  20. Voting on referenda: the separability problem and possible solutions (with S. Brams and D. M. Kilgour), Electoral Studies 16 No. 3 (1997) 359–357.

  21. The Paradox of Multiple Elections (with S. Brams and D. M. Kilgour), Social Choice and Welfare 15 No. 8 (1998) 211–236.

  22. The bicameral postulates and indices of a priori voting power (with D. Felsenthal and M. Machover), Theory and Decision 44 (1998): 83–116.

  23. Trading properties and Alexandrov kernels for boolean functions (with A. Taylor), Discrete Applied Mathematics, 107 (2000), 203–214.

  24. Coalition formation games with separable preferences (with N. Burani), Mathematical Social Sciences 45 (2003) 27-52.

  25. Weighted voting, abstention, and multiple levels of approval (with J. Freixas), Social Choice and Welfare 21 (2003), 399-431.

  26. Which scoring rule maximizes Condorcet efficiency? (with D. Cervone and W. Gehrlein), Theory & Decision 58 (2005) 145-185.

  27. ''Consistency Without Neutrality in Voting Rules: When is a Vote an Average?'', Mathematical and Computer Modelling. Special issue on Mathematical Modeling of Voting Systems and Elections: Theory and Applications, A. Belenky, ed., 48 (2008), 1357-1373.

  28. ''A Characterization of the Rational Mean Neat Voting Rules'', Mathematical and Computer Modelling. Special issue on Mathematical Modeling of Voting Systems and Elections: Theory and Applications, A. Belenky, ed., 48 (2008), 1374-1384.

  29. Anonymous voting rules with abstention, weighted voting, in Steven J. Brams, William V. Gehrlein, and Fred S. Roberts (eds.), The Mathematics of Preference, Choice, and Order: Essays in Honor of Peter C. Fishburn Heidelberg: Springer (2009), 239-258.

    30. Preprints:

  30. Anonymous yes-no voting with abstention and multiple levels of approval*, (with J. Freixas) to appear in Games and Economic Behavior (2009). *Former title ''Anonymous voting games with abstention and multiple levels of approval: classification and counting''

  31. Convex Decompositions (with D. Cervone), to appear in the Journal of Convex Analysis (2009).

  32. One-way monotonicity as a form of strategy-proofness (with M. Remzi Sanver), to appear in the International Journal of Game Theory, 2009.

[HOME] Math Department web pages
Created: 13 Nov 2000
Last modified: Aug 27, 2009 1:58:14 PM
Comments to: math@union.edu
[Up] Faculty and Staff
[Prev] Publications (Karl Zimmermann)