Research map / Learning theory and algorithms / Submodular and game algorithms
Fair and Truthful Mechanisms for Dichotomous Valuations
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use prioritized egalitarian (PE) allocation with a fixed priority order | Submodular dichotomous valuations · Submodular dichotomous valuations | Welfare maximization | Helped |
| Use prioritized egalitarian (PE) allocation with a fixed priority order | Submodular dichotomous valuations · Submodular dichotomous valuations | Lorenz domination and fairness guarantees | Helped |
| Randomize agent priorities before running PE | Submodular dichotomous valuations · Submodular dichotomous valuations | Ex-ante envy-freeness | Helped |
| Randomize agent priorities before running PE | Submodular dichotomous valuations · Submodular dichotomous valuations | Ex-post EFX | Helped |
| Extend dichotomous valuations to XOS valuations | Truthful allocation mechanisms · XOS valuations | Welfare maximization | Hurt |
| Allow desired item values to vary in [1, 1 + ε] for submodular valuations | Truthful allocation mechanisms · ε-dichotomous submodular valuations | Welfare approximation ratio | Hurt |
| Require a deterministic truthful mechanism to be approximately welfare maximizing and give an agent at least one desired item when she desires two | Allocation mechanisms · Three items, two ε-leveled agents | Feasibility of the stated welfare and fairness guarantees | Hurt |
| Require a randomized truthful-in-expectation mechanism to always be reasonable | Allocation mechanisms · Two items, two ε-leveled agents | Ex-post Lorenz domination, min-square, NSW, lex-min, or EFX | Hurt |
| Round reported ε-leveled values down and use randomized mechanism ℳᴸ | Additive ε-dichotomous valuations · ε-leveled valuations | Welfare approximation: ρ = 1/(1 + ε) | Helped |
| Use randomized mechanism ℳᴸ with rounded valuations and held-out items | Additive ε-dichotomous valuations · ε-leveled valuations | Truthfulness in expectation | Helped |
| Use randomized mechanism ℳᴸ with rounded valuations and held-out items | Additive ε-dichotomous valuations · ε-leveled valuations | Maximin share and EF1 guarantees: ρ = 1/(1 + ε) | Helped |
| Use PE for additive dichotomous valuations | Additive dichotomous valuations · Additive dichotomous valuations | Maximin share | Helped |
Closest papers by meaning
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