11.07.2015 Views

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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The modelExample3 objects {j 1 ,j 2 ,j 3 }, 2 agents {i 1 ,i 2 }Preferences :Risk :Allocations :j 1 j 2 j 3i 1 5 4 2i 2 4 1 4∀j, p j = 0.5π = 〈{j 1, j 2}, {j 3}〉π ′ = 〈{j 1}, {j 2, j 3}〉Pr<strong>of</strong>iles :π −→π ′ −→[0 0 4 4 5 5 9 90 4 0 4 0 4 0 4[0 0 0 0 5 5 5 50 4 1 5 0 4 1 5]]<strong>Fair</strong> <strong>division</strong> <strong>of</strong> <strong>indivisible</strong> <strong>goods</strong> <strong>under</strong> <strong>risk</strong>7 / 19

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