Fair division of indivisible goods under risk - Sylvain Bouveret
Fair division of indivisible goods under risk - Sylvain Bouveret
Fair division of indivisible goods under risk - Sylvain Bouveret
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Ex-ante vs ex-post computationex-ante optimizationacu(π) = mini∈A ( ∑ j∈π i∑Pr(s) · [j ∈ good(s)] ·w ij )s∈S} {{ }p jThe ˜w ij = p j w ij can be pre-computed in linear timeEx-ante collective utilityRisk-free equivalent problem∑acu(π) = min˜w iji∈Aj∈π i(A,O,W,p) ⇐⇒ (A,O, ˜W)<strong>Fair</strong> <strong>division</strong> <strong>of</strong> <strong>indivisible</strong> <strong>goods</strong> <strong>under</strong> <strong>risk</strong>10 / 19