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  1.  31
    Which Scoring Rule Maximizes Condorcet Efficiency Under Iac?Davide P. Cervone, William V. Gehrlein & William S. Zwicker - 2005 - Theory and Decision 58 (2):145-185.
    Consider an election in which each of the n voters casts a vote consisting of a strict preference ranking of the three candidates A, B, and C. In the limit as n→∞, which scoring rule maximizes, under the assumption of Impartial Anonymous Culture (uniform probability distribution over profiles), the probability that the Condorcet candidate wins the election, given that a Condorcet candidate exists? We produce an analytic solution, which is not the Borda Count. Our result agrees with recent numerical results (...)
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  2.  38
    $P_kappalambda$ Combinatorics II: The RK Ordering Beneath a Supercompact Measure.William S. Zwicker - 1986 - Journal of Symbolic Logic 51 (3):604-616.
    We characterize some large cardinal properties, such as $\mu$-measurability and $P^2(\kappa)$-measurability, in terms of ultrafilters, and then explore the Rudin-Keisler (RK) relations between these ultrafilters and supercompact measures on $P_\kappa(2^\kappa)$. This leads to the characterization of $2^\kappa$-supercompactness in terms of a measure on measure sequences, and also to the study of a certain natural subset, $\mathrm{Full}_\kappa$, of $P_\kappa(2^\kappa)$, whose elements code measures on cardinals less than $\kappa$. The hypothesis that $\mathrm{Full}_\kappa$ is stationary (a weaker assumption than $2^\kappa$-supercompactness) is equivalent to (...)
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  3.  25
    Towards a Structure Theory for Ideals on P Κ Λ.A Beginning for Structural Properties of Ideals on P Κ Λ.Alan D. Taylor, Donna M. Carr, Donald H. Pelletier, J. Steprans, S. Watson & William S. Zwicker - 1991 - Journal of Symbolic Logic 56 (3):1100.
  4. Mohammed Abdellaoui/Editorial Statement 1–2 Mohammed Abdellaoui and Peter P. Wakker/The Likelihood Method for Decision Under Uncertainty 3–76 AAJ Marley and R. Duncan Luce/Independence Properties Vis--Vis Several Utility Representations 77–143. [REVIEW]Davide P. Cervone, William V. Gehrlein, William S. Zwicker, Which Scoring Rule Maximizes Condorcet, Marcello Basili, Alain Chateauneuf & Fulvio Fontini - 2005 - Theory and Decision 58:409-410.
     
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  5.  7
    Ultrafilters on Spaces of Partitions.James M. Henle & William S. Zwicker - 1982 - Journal of Symbolic Logic 47 (1):137-146.
  6.  31
    Two Applications of a Theorem of Dvoretsky, Wald, and Wolfovitz to Cake Division.Julius B. Barbanel & William S. Zwicker - 1997 - Theory and Decision 43 (2):203-207.
    In this note, we show that a partition of a cake is Pareto optimal if and only if it maximizes some convex combination of the measures used by those who receive the resulting pieces of cake. Also, given any sequence of positive real numbers that sum to one (which may be thought of as representing the players' relative entitlements), we show that there exists a partition in which each player receives either more than, less than, or exactly his or her (...)
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  7.  18
    Pκλ Combinatorics II: The RK Ordering Beneath a Supercompact Measure.William S. Zwicker - 1986 - Journal of Symbolic Logic 51 (3):604 - 616.
    We characterize some large cardinal properties, such as μ-measurability and P 2 (κ)-measurability, in terms of ultrafilters, and then explore the Rudin-Keisler (RK) relations between these ultrafilters and supercompact measures on P κ (2 κ ). This leads to the characterization of 2 κ -supercompactness in terms of a measure on measure sequences, and also to the study of a certain natural subset, Full κ , of P κ (2 κ ), whose elements code measures on cardinals less than κ. (...)
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