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Subsidies, Knapsack Auctions and Dantzig's Greedy Heuristic

Author

Listed:
  • Ludwig Ensthaler
  • Thomas Giebe

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.

Suggested Citation

  • Ludwig Ensthaler & Thomas Giebe, 2009. "Subsidies, Knapsack Auctions and Dantzig's Greedy Heuristic," Discussion Papers of DIW Berlin 880, DIW Berlin, German Institute for Economic Research.
  • Handle: RePEc:diw:diwwpp:dp880
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    File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.97540.de/dp880.pdf
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    More about this item

    Keywords

    Auctions; Subsidies; Market Design; Knapsack Problem;

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing

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