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Ex-post optimal knapsack procurement

Felix Jarman and Vincent Meisner

No 15-02, Working Papers from University of Mannheim, Department of Economics

Abstract: We consider a budget-constrained mechanism designer who wants to select an optimal subset of projects to maximize her utility. Project costs are private information and the value the designer derives from their provision may vary. In this allocation problem the choice of projects - both which and how many - is endogenously determined by the mechanism. The designer faces hard ex-post constraints: The participation and budget constraint must hold for each possible outcome while the mechanism must be implementable in dominant strategies. We derive the class of optimal mechanisms that are characterized by cutoff functions. These cutoff functions exhibit properties that allow an implementation through a descending clock auction. Only in the case of symmetric projects price clocks descend synchronously such that always the cheapest projects are executed. However, the asymmetric case, where values or costs are asymmetrically distributed, features a novel tradeoff between quantity and quality. Interestingly, this tradeoff mitigates the distortion due to the informational asymmetry compared to environments where quantity is exogenous.

Keywords: Mechanism Design; Knapsack; Budget; Procurement; Auction (search for similar items in EconPapers)
JEL-codes: D02 D44 D45 D87 H57 (search for similar items in EconPapers)
Date: 2015
New Economics Papers: this item is included in nep-mic and nep-ppm
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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https://madoc.bib.uni-mannheim.de/37417/4/expostoptimalknapsack-wp_15-02.pdf
https://madoc.bib.uni-mannheim.de/38873/1/Jarman_und_Meisner_15-02.pdf

Related works:
Journal Article: Ex-post optimal knapsack procurement (2017) Downloads
Working Paper: Ex-Post Optimal Knapsack Procurement (2017) Downloads
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