Research map / Multi-agent systems and games / Games and equilibria
Heterogeneous Facility Location with Limited Resources
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Choose the most-approved facility and locate it at the midpoint | General setting · General setting | approximation ratio: 2 | Helped |
| Use deterministic strategyproofness when selecting one facility | Known-preferences setting · Known-preferences setting | approximation ratio: 2 | Hurt |
| Randomly select a facility proportional to its approver count, then locate it at its approvers’ median | Known-preferences setting · Known-preferences setting | approximation ratio: (1 + \sqrt{3})/2 \approx 1.366 | Helped |
| Replace proportional selection probabilities with the Mirror mechanism’s count-based piecewise probabilities | Known-preferences setting · Known-preferences setting | approximation ratio: (1 + \sqrt{3})/2 \approx 1.366 -> 4/3 | Helped |
| Use Random-Median selection | Known-preferences setting · Known-preferences setting | approximation ratio: 4/3 | Mixed |
| Choose a uniformly random agent as dictator and locate an approved facility at that agent’s position | Known-positions setting · Known-positions setting | approximation ratio: 3/2 | Helped |
| Use fixed-probability tie-breaking for agents approving both facilities | Random Dictatorship · General setting | approximation ratio: 1.518 | Hurt |
| Use Random Dictatorship when both positions and preferences are private | Random Dictatorship · General setting | strategyproofness | Hurt |
| Select the k most-approved facilities and place them at the midpoint | General setting, k out of m facilities · General setting, k out of m facilities | approximation ratio: 2 | Helped |
| Use the (k,m)-Middle mechanism with k >= 2 | General setting, k out of m facilities · General setting, k out of m facilities | group-strategyproofness | Hurt |
Closest papers by meaning
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