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Subsidies, Knapsack Auctions and Dantzig’s Greedy Heuristic

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  • Ensthaler, Ludwig
  • Giebe, Thomas

Abstract

A budget-constrained buyer wants to purchase items from a shortlisted set. Items are differentiated by quality and sellers have private reserve prices for their items. Sellers quote prices strategically, inducing a knapsack game. The buyer’s problem is to select a subset of maximal quality. We propose a buying mechanism which can be viewed as a game theoretic extension of Dantzig’s greedy heuristic for the classic knapsack problem. We use Monte Carlo simulations to analyse the performance of our mechanism. Finally, we discuss how the mechanism can be applied to award R&D subsidies.

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Paper provided by Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich in its series Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems with number 254.

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Date of creation: Feb 2009
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Handle: RePEc:trf:wpaper:254

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Keywords: Auctions; Subsidies; Market Design; Knapsack Problem;

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  1. Giebe, Thomas & Grebe, Tim & Wolfstetter, Elmar G., 2005. "How to Allocate R&D (and Other) Subsidies: An Experimentally Tested Policy Recommendation," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 108, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
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