Public Good Provision (Samuelson Condition) Calculator

Model efficient public good levels using the Samuelson rule. Enter marginal benefit parameters for multiple agents and a unit cost. The tool aggregates valuations, solves for the interior optimum with bisection, flags boundary cases, and reports Lindahl prices, marginal benefits, and sensitivity. Includes feasibility checks, units, and transparent calculations for study or practice in economics, policy evaluation, and classroom demonstrations.

Inputs
Per-unit marginal cost of the public good.
Used if you wish to cap the search domain.
Smaller values yield more precision, but may take longer.
Agent name Intercept a (≥0) Slope b (≥0) Remove
About & Assumptions

This calculator implements the Samuelson rule for efficient provision: provide the public good up to the point where the sum of marginal benefits equals the marginal cost.

  • Agent marginal benefits are modeled as linear and weakly decreasing in G. Negative marginal benefits are truncated at zero.
  • When the sum of marginal benefits at G = 0 is not above the unit cost, the efficient level is zero (corner solution).
  • If marginal benefits never decline sufficiently to meet the unit cost, no finite interior solution exists; a policy bound is then required.
  • Lindahl prices are reported as each agent’s marginal benefit at the computed level.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.