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Optimal Multiunit Exchange Design with Single-Dimensionality

Hitoshi Matsushima

No CARF-F-292, CARF F-Series from Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo

Abstract: We investigate allocation problems that generalize auction and bargaining, namely multiunit exchanges, where both a central planner and participants bring homogeneous commodities to sell altogether, and there exist restrictions on feasible allocations. We characterize the optimal mechanism in terms of revenue-maximization under dominant strategy incentive compatibility and ex-post individual rationality. We introduce modified virtual valuation, and show that, irrespective of the restrictions, the optimization can be replaced with the maximization of the sum of modified virtual valuations. We apply this result to an important class of allocation problems for heterogeneous items with single-item demands based on Mussa and Rosen (1978).

Pages: 25 pages
Date: 2012-05, Revised 2012-09
New Economics Papers: this item is included in nep-cta
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Citations: View citations in EconPapers (3)

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