Abstract
By way of summarizing our account on collective decision procedures, we shall provide a brief exposition of those methods that have been discussed in earlier chapters from the viewpoint of their applicability. The question we seek to answer is: what are the circumstances under which each system works best? Since each system has specific proprieties, it is important to understand them in order to choose a Voting Procedure (VP) to evaluate a decision problem. The framework for choosing a voting procedure can guide the Analysts and Decision-Makers with regard to this issue and therefore it evaluates the impact of VP properties on their own business decision process.
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Notes
- 1.
There are elimination systems that can be—and often are—implemented through several rounds of voting, e.g. the Finnish and French presidential election. This makes it possible for the voters to change or to work out their preferences gradually upon finding which alternatives are available at each stage. Thereby strategic elements enter the analysis. Since we are primarily interested in the properties of systems as methods of aggregating expressed preferences, we assume that the voters's preferences do not change over time in the balloting process.
- 2.
There are, however, binary systems, notably the Borda count, that can be (although typically aren't) implemented via pairwise comparisons which do not always result in an eventual Condorcet winner. In these, the notion of pairwise winning is not the sole determinant of the winner. These systems are not discussed in the present section.
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de Almeida, A.T., Morais, D.C., Nurmi, H. (2019). When Does a Given Procedure Work Best?. In: Systems, Procedures and Voting Rules in Context . Advances in Group Decision and Negotiation, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-30955-8_19
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