Social Choice and Welfare

, Volume 50, Issue 4, pp 705–719 | Cite as

Envy-free and budget-balanced assignment of identical objects

  • Yan Long
Original Paper


Strategy-proof, budget-balanced, and envy-free rank mechanisms assign q identical objects to n agents. The efficiency loss is the largest ratio of surplus loss to efficient surplus, over all profiles of non-zero valuations. The smallest efficiency loss \(\frac{n-q}{n^{2}-n}\) is uniquely achieved by the following simple allocation rule: assign one object to each of the \(q-1\) agents with the highest valuations, a large probability to the agent with the qth highest valuation, and the remaining probability to the agent with the \((q+1)\)th highest valuation.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.New York University Abu DhabiAbu DhabiUnited Arab Emirates

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