The paper presents a general setting for studying majority-based collective decision procedures where the electorate is divided into constituencies according to an equal-representation principle. It generalizes the well-known Referendum Paradox to the non-dichotomous choice case, and shows that all Condorcet choice rules are sensitive to the design of the apportionment of the electorate, in the...

The ability to simulate correlated binary data is important for sample size calculation and comparison of methods for analysis of clustered and longitudinal data with dichotomous outcomes. One available approach for simulating length n vectors of dichotomous random variables is to sample from the multinomial distribution of all possible length n permutations of zeros and ones. However, the mult...

Many hard computational social choice problems are known to become tractable when voters’ preferences belong to a restricted domain, such as those of singlepeaked or single-crossing preferences. However, to date, all algorithmic results of this type have been obtained for the setting where each voter’s preference list is a total order of candidates. The goal of this paper is to extend this line...

Abstract The R package DCchoice is designed to mitigate programing-related barriers the application of dichotomous choice contingent valuation (DCCV) methods in empirical studies. Since its release 2014, has been updated. This paper introduces current version which supports single-, one-and-one-half-, and double-bounded DCCVs, with without a spike. Additionally, willingness-to-pay confidence in...

Consider a committee of experts dealing with dichotomous choice problem, where the correctness probabilities are all greater than 1 2 . We prove that, if a random subcommittee of odd size m is selected randomly, and entrusted to make a decision by majority vote, its probability of deciding correctly increases with m. This includes a result of Ben-Yashar and Paroush (2000), who proved that a ran...

In this paper we propose a mixture model of willingness to pay distributions for contingent valuation studies. By allowing a point mass at zero, this model nests the conventional model as a special case. We discuss both parametric and nonparametric estimations of the mixture model. We consider estimation under two different data information settings for a double bounded dichotomous choice forma...

Double bounded dichotomous choice is a contingent valuation elicitation method which involves two iterated binary questions. Past research has compared both responses within the framework of a joint bivariate distribution. In this paper we propose a Bayesian test which allows us to prove the hypothesis of unitary correlation coefficient. The application of the test is conducted on empirical dat...

Reflecting the usefulness of multilevel analysis and the importance of categorical outcomes in many areas of research, generalization of multilevel models for categorical outcomes has been an active area of statistical research. For dichotomous response data, several approaches adopting either a logistic or probit regression model and various methods for incorporating and estimating the influen...