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== Motivation ==
The method is an alternative to [[Participatory_budgeting_algorithm#Knapsack_budgeting|knapsack algorithmvoting]] which is used by most cities even though it is a disproportional method. For example, if 51% of the population support 10 red projects and 49% support 10 blue projects, and the money suffices only for 10 projects, the knapsack budgeting will choose the 10 red supported by the 51%, and ignore the 49% altogether.<ref name=":4">{{Cite journal|last1=Fluschnik|first1=Till|last2=Skowron|first2=Piotr|last3=Triphaus|first3=Mervin|last4=Wilker|first4=Kai|date=2019-07-17|title=Fair Knapsack|journal=Proceedings of the AAAI Conference on Artificial Intelligence|language=en|volume=33|pages=1941–1948|doi=10.1609/aaai.v33i01.33011941|issn=2374-3468|doi-access=free}}</ref> In contrast, the method of equal shares would pick 5 blue and 5 red projects.
The method guarantees [[proportional representation]]: it satisfies the strongest known variant of the [[justified representation]] axiom that is known to be satisfiable in participatory budgeting.
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