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I prove that there exists no assignment mechanism that is strategy-proof, non-wasteful and satisfies equal treatment of equals. This strengthens the impossibility result of Bogomolnaia and Moulin (2001) by weakening their assumption of ordinal efficiency to non-wastefulness. My result solves an...
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We consider the problem of probabilistically allocating a single indivisible good among agents when monetary transfers are allowed. We construct a new strategy-proof rule, called the second price trading rule, and show that it is second best efficient. Furthermore, we give the second price...
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We consider situations where a society allocates a finite units of an indivisible good among agents, and each agent receives at most one unit of the good. For example, imagine that a government allocates a fixed number of licences to private firms, or imagine that a government distributes...
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theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision … making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both … noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference …
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Playing, Voting, and Dividing -- Playing Successfully: Noncooperative Game Theory -- Cooperative Game Theory -- Voting … -- Multiwinner Voting -- Judgment Aggregation -- Fair Division: Cake-Cutting - Fair Division of Divisible Goods -- Fair Division of … Indivisible Goods. …
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