Titlebook: Evaluating Voting Systems with Probability Models; Essays by and in Hon Mostapha Diss,Vincent Merlin Book 2021 Springer Nature Switzerland

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Condorcet Efficiency of General Weighted Scoring Rules Under IAC: Indifference and Abstentionreferences impact the performances of voting rules is a natural question addressed in the literature. We reconsider this question with respect to one of the main characteristics of a voting rule: its Condorcet efficiency; that is, the conditional probability that the rule selects a Condorcet winner

附錄

The Effect of Closeness on the Election of?a Pairwise Majority Rule Winner three-candidate elections under Scoring Elimination Rules. It was shown that the frequency of such a paradox significantly increases as elections become more closely contested. In this chapter we consider the effect of closeness on one of the most studied notions in social choice theory: The electi

defenses

Analyzing the Practical Relevance of the Condorcet Loser Paradox and the Agenda Contraction Paradoxchapter, we investigate the likelihood of the Condorcet Loser Paradox (CLP) and the Agenda Contraction Paradox (ACP) using Ehrhart theory, computer simulations, and empirical data. We present the first analytical results for the CLP on four alternatives and show that our experimental results, which

famine

On the Probability of the Ostrogorski Paradoxup decision-making situations. This phenomenon cannot be observed in two-issue situations, and when three-issue situations are considered, the probability that such an outcome will be observed never reaches a likelihood of as much as two percent for large electorates, regardless of the propensity of

famine

Violations of Reversal Symmetry Under Simple and Runoff Scoring Rulesare reversed. We study the vulnerability—in terms of frequencies of violation—of a set of usual and well-known simple and runoff scoring rules to the violation of reversal symmetry. We show that the pattern of the results is very different depending on whether the rule under consideration is a simpl

評論性

Majority Efficient Representation of the Citizens in a Federal Unionapply a majority criterion to evaluate these voting rules: An apportionment of the seats among the states is majority efficient if it minimizes the probability of electing the candidate who receives less than 50% of the votes in a two candidate competition over the whole union. Depending on the assu

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