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Define projects with costs, a budget limit, and voters' approval ballots.
Participatory Budgeting Algorithm
Ordered-Relax is an approximation algorithm for Maxmin Participatory Budgeting. It solves a relaxed linear program, gives each project a score based on its cost and fractional LP value, orders the projects by that score, and fills the available budget in that order.
Define projects with costs, a budget limit, and voters' approval ballots.
The LP gives each project a fractional value; projects are ranked by cost × LP value.
Projects are selected in ranked order while they fit in the remaining budget.
Gogulapati Sreedurga, Mayank Ratan Bhardwaj, and Y. Narahari, Maxmin Participatory Budgeting, 2022.
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