A voting system with a fixed point
(2020) New Trends in Analysis and Geometry — ISBN: [1527546128, 9781527546127], p. 1-13, published
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- Abstract
- A voting system is presented that is based on an iterative procedure that converges to a unique fixed point. The votes are casted by m raters regarding the reputation of n items, are organized as a m x n voting matrix X, which is possibly sparse when each rater does not evaluate all items. From this matrix X , a unique rating of the considered items is finally obtained via an iterative procedure which updates the reputations of the n items as well as that of the m raters. For any rating matrix the proposed method converges linearly to the unique vector of reputations. Sorne applications of this voting system will be presented.
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Citations
de Kerchove D’Exaerde, C., & Van Dooren, P. (2020). A voting system with a fixed point. In Ali Hussain Alkhaldi, Mohammed Kbiri Alaoui, Mohamed Amine Khamsi (ed.), New Trends in Analysis and Geometry (p. p. 1-13). Cambridge Scholars Publishing, 2020. https://hdl.handle.net/2078.5/254752