Browsing by Author "Duddy, Conal"

Now showing items 1-13 of 13

    • A measure of distance between judgment sets 

      Duddy, Conal; Piggins, Ashley (Springer Nature, 2011-07-29)
      In the literature on judgment aggregation, an important open question is how to measure the distance between any two judgment sets. This is relevant for issues of social choice: if two individuals hold different beliefs ...

    • Aggregating partitions 

      Duddy, Conal; Piggins, Ashley (National University of Ireland, Galway, 2011-02)
      Consider the following social choice problem. A group of individuals seek to partition a finite set X into two subsets. The individuals may disagree over the partition and an aggregation rule is applied to determine a ...

    • Aggregation of binary evaluations: a borda-like approach 

      Duddy, Conal; Piggins, Ashley; Zwicker, William S. (Springer Nature, 2015-09-10)
      We characterize a rule for aggregating binary evaluations-equivalently, dichotomous weak orders-similar in spirit to the Borda rule from the preference aggregation literature. The binary evaluation framework was introduced ...

    • Arrow's theorem and max-star transitivity 

      Duddy, Conal; Piggins, Ashley (National University of Ireland, Galway, 2009)
      In the literature on social choice and fuzzy preferences, a central question is how to represent the transitivity of a fuzzy binary relation. Arguably the most general way of doing this is to assume a form of transitivity ...

    • Condorcet’s principle and the strong no-show paradoxes 

      Duddy, Conal (Springer Nature, 2013-11-29)
      We consider two no-show paradoxes, in which a voter obtains a preferable outcome by abstaining from a vote. One arises when the casting of a ballot that ranks a candidate in first place causes that candidate to lose the ...

    • Fair sharing under dichotomous preferences 

      Duddy, Conal (Elsevier BV, 2015-01-01)

    • A foundation for Pareto optimality 

      Duddy, Conal; Piggins, Ashley (Elsevier, 2020-03-04)
      Can an axiomatic justification be given for the requirement that society picks all and only Pareto optimal alternatives at each profile of individual preferences? Using the framework of fixed-agenda social choice theory, ...

    • Manipulating an ordering 

      Duddy, Conal; Piggins, Ashley (National University of Ireland, Galway, 2009)
      It is well known that many social decision procedures are manipulable through strategic behaviour. Typically, the decision procedures considered in the literature are social choice correspondences. In this paper we investigate ...

    • Many-valued judgment aggregation: characteriing the possibility/impossibility boundary for an important class of agendas 

      Duddy, Conal; Piggins, Ashley (National University of Ireland, Galway, 2009-11)
      A general model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives of the model are a set of propositions, an entailment relation, and a "triangular ...

    • A measure of distance between judgment sets (Working paper no. 169) 

      Duddy, Conal; Piggins, Ashley (National University of Ireland, Galway, 2011-02)
      In the literature on judgment aggregation, an important open question is how to measure the distance between any two judgment sets. This is relevant for issues of social choice: if two individuals hold different beliefs ...

    • Proximity by Numbers 

      Duddy, Conal; Piggins, Ashley (National University of Ireland, Galway, 2009-11)
      Imagine that everyone in a group chooses a real number and then these numbers are combined to produce a group number. Suppose that when everyone moves strictly closer to some individual¿s number, the group number either ...

    • Reconciling probability theory and coherentism 

      Duddy, Conal (Springer Nature, 2013-06-27)
      Recent results in the literature appear to show that it is impossible for two independent testimonies to jointly raise the probability of a proposition if neither testimony individually has any impact on that probability. ...

    • The proximity condition 

      Duddy, Conal; Piggins, Ashley (Springer Nature, 2011-12-14)
      We investigate the social choice implications of what we call "the proximity condition". Loosely speaking, this condition says that whenever a profile moves "closer" to some individual's ...