Rivalry Reduction in Multi-Winner Elections: A New Measure

Electoral measures are crucial in determining the outcome of elections, but they can be complex and challenging to understand. In this article, we demystify these concepts by breaking them down into simpler terms that are easy to grasp. We focus on five key measures: cost-reduction, added singletons, rivalry reduction, 50% addition, and the easier-to-compute measures: cost-red, singleton-add, rival-red, and 50%-add.
Cost-Reducation Measure: Think of this measure as a magic wand that makes projects more appealing to voters by reducing their costs. The idea is simple: the lower the cost, the more attractive the project becomes. Baumeister et al. (2021) also studied this concept.
Added Singletons Measure: Imagine you are a project proposer who wants to win over voters. This measure helps you do just that by adding single votes to your project’s tally. The idea is to increase the number of approvals needed for victory, making it easier for your project to win.
Rivalry Reduction Measure: Rivalries can make an election messy and unpredictable. This measure helps reduce those rivalries by giving each voter a fixed number of approvals that they must use wisely. By doing so, the number of approvals needed for victory is reduced, making it easier for projects to win.
50% Addition Measure: Think of this measure as a booster shot for your project’s approval rating. The idea is simple: add enough votes to bring your project’s total number of approvals up to 50% of the total vote. This makes it easier for your project to win, especially in multi-winner elections.
Easier-to-Compute Measures: These measures are simpler to calculate and provide a good starting point for understanding more complex electoral measures. They include cost-red, singleton-add, rival-red, and 50%-add.
In conclusion, these five measures are essential in determining the outcome of elections. By breaking them down into simpler terms, we hope to demystify these concepts and make them easier for readers to understand. Whether you’re a seasoned politician or just starting out, grasping these electoral measures is crucial for making informed decisions and navigating the complex world of politics.