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This form allows to compare several rules for Participatory Budgeting. Each rule can be considered in four variants, depending on the utility interpretation of voters' ballots and the way how given rule is applied to given city.
(1) cost vs. score utilities: This option indicates whether a rule should favor electing fewer expensive projects (cost utilities) over electing more cheap ones (score utilities).
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Formally, for score utilities it is assumed that voter's utility from a project is equal to the number of points assined to that project. For cost utilities, voter's utility from a project is equal to the number of points assigned to the project times the project cost.
(2) districtwise vs. citywide: Most cities are divided into several districts. This option indicates whether a rule should be run separately in each district or jointly in the whole city.
Please select the base rule, to which the others would be compared. The rule currently used by all the cities is Utilitarian Greedy, districtwise, cost utilities.
Base rule:
<no base rule>
Utilitarian Greedy
Phragmen
Equal Shares (no completion)
Equal Shares (Utilitarian Greedy)
Equal Shares (Phragmen)
Equal Shares (Add1)
Equal Shares (Epsilon utilities)
Equal Shares (Add1 + Utilitarian Greedy)
Equal Shares (Epsilon cost utilities)
cost utilities
score utilities
Now please select the remaining rules. Under the Utilitarian Greedy rule the projects are ordered by decreasing order of support divided by project cost and selected one-by-one until the budget is full. The remaining methods are
Phragmen's Sequential Rule
and multiple variants of
the Method of Equal Shares
.
Equal Shares (Add1 + Utilitarian Greedy):
both cost and score utilties
only score utilties
only cost utilities
Equal Shares (Add1):
both cost and score utilties
only score utilties
only cost utilities
Equal Shares (Epsilon cost utilities):
both cost and score utilties
only score utilties
only cost utilities
Equal Shares (Epsilon utilities):
both cost and score utilties
only score utilties
only cost utilities
Equal Shares (Phragmen):
both cost and score utilties
only score utilties
only cost utilities
Equal Shares (Utilitarian Greedy):
both cost and score utilties
only score utilties
only cost utilities
Equal Shares (no completion):
both cost and score utilties
only score utilties
only cost utilities
Phragmen:
both cost and score utilties
only score utilties
only cost utilities
Utilitarian Greedy:
both cost and score utilties
only score utilties
only cost utilities
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