Search Results - "Zwicker, William S."
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Fair division of graphs and of tangled cakes
Published in Mathematical programming (01-01-2024)“…Fair division has been studied in both continuous and discrete contexts. One strand of the continuous literature seeks to award each agent with a single…”
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Cycles and Intractability in a Large Class of Aggregation Rules
Published in The Journal of artificial intelligence research (01-01-2018)“…We introduce the (j,k)-Kemeny rule -- a generalization of Kemeny's voting rule that aggregates j-chotomous weak orders into a k-chotomous weak order. Special…”
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The geometry of voting power: Weighted voting and hyper-ellipsoids
Published in Games and economic behavior (01-03-2014)“…Suppose legislators represent districts of varying population, and their assembly's voting rule is intended to implement the principle of one person, one vote…”
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Aggregation of binary evaluations: a Borda-like approach
Published in Social choice and welfare (01-02-2016)“…We characterize a rule for aggregating binary evaluations—equivalently, dichotomous weak orders—similar in spirit to the Borda rule from the preference…”
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Anonymous yes–no voting with abstention and multiple levels of approval
Published in Games and economic behavior (01-11-2009)“…Symmetric (3,2) simple games serve as models for anonymous voting systems in which each voter may vote “yes,” abstain, or vote “no,” the outcome is “yes” or…”
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Monotonicity properties and their adaptation to irresolute social choice rules
Published in Social choice and welfare (01-07-2012)“…What is a monotonicity property? How should such a property be recast, so as to apply to voting rules that allow ties in the outcome? Our original interest was…”
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Weighted voting, abstention, and multiple levels of approval
Published in Social choice and welfare (01-12-2003)“…In this paper we introduce the class of simple games with several ordered levels of approval in the input and in the output - the (j, k) simple games - and…”
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One-way monotonicity as a form of strategy-proofness
Published in International journal of game theory (01-11-2009)“…Suppose that a vote consists of a linear ranking of alternatives, and that in a certain profile some single pivotal voter v is able to change the outcome of an…”
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Voting with rubber bands, weights, and strings
Published in Mathematical social sciences (01-07-2012)“…We introduce some new voting rules based on a spatial version of the median known as the mediancentre, or Fermat-Weber point. Voting rules based on the mean…”
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Coalition formation games with separable preferences
Published in Mathematical social sciences (01-02-2003)“…We provide sufficient conditions for the existence of stable coalitional structures in a purely hedonic game, that is in a coalition formation game such that…”
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Which scoring rule maximizes condorcet efficiency under IAC?
Published in Theory and decision (01-03-2005)“…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…”
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Almost envy-free allocations with connected bundles
Published in Games and economic behavior (01-01-2022)“…We study the existence of allocations of indivisible goods that are envy-free up to one good (EF1), under the additional constraint that each bundle needs to…”
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The paradox of multiple elections
Published in Social choice and welfare (01-02-1998)“…Assume that voters must choose between voting yes (Y) and voting no (N) on three propositions on a referendum. If the winning combination is NYY on the first,…”
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Consistency without neutrality in voting rules: When is a vote an average?
Published in Mathematical and computer modelling (01-11-2008)“…Smith [J.H. Smith, Aggregation of preferences with variable electorate, Econometrica 41 (1973) 1027–1041] and Young [H.P. Young, A note on preference…”
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Voting on referenda: the separability problem and possible solutions
Published in Electoral studies (01-09-1997)“…Assume that voters choose between yes (Y) and no (N) on two related propositions in a referendum, where YN, for example, signifies voting Y on the first and N…”
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A characterization of the rational mean neat voting rules
Published in Mathematical and computer modelling (01-11-2008)“…A mean proximity rule is a voting rule having a mean proximity representation in Euclidean space. Legal ballots are represented as vectors that form the…”
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A moving-knife solution to the four-person envy-free cake-division problem
Published in Proceedings of the American Mathematical Society (01-02-1997)“…We present a moving-knife procedure, requiring only 11 cuts, that produces an envy-free allocation of a cake among four players and discuss possible extensions…”
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Special Issue on Computational Foundations of Social Choice
Published in Mathematical social sciences (01-07-2012)Get full text
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