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Strategic Manipulations and Collusions in Knaster Procedure

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Abstract

The Knaster’s procedure is one of the simplest and most powerful mechanisms for allocating indivisible objects among agents requiring them, but its sealed bid feature may induce some agents in altering their valuations. In this paper we study the consequences of false declarations on the agents’ payoffs. A misrepresentation of a single agent could produce a gain or a loss. So, we analyze a possible behavior of a subset of infinitely risk-averse agents and propose how to obtain a safe gain via a joint misreporting of their valuations, regardless of the declarations of the other agents.

Suggested Citation

  • Vito Fragnelli & Maria Erminia Marina, 2009. "Strategic Manipulations and Collusions in Knaster Procedure," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 3(2), pages 143-153, July.
  • Handle: RePEc:fau:aucocz:au2009_143
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    5. Shigehiro Serizawa, 2006. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 305-331, April.
    6. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-1144, September.
    7. Szilvia Pápai, 2003. "Groves sealed bid auctions of heterogeneous objects with fair prices," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 371-385, June.
    8. Claus-Jochen Haake & Matthias G. Raith & Francis Edward Su, 2002. "Bidding for envy-freeness: A procedural approach to n-player fair-division problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 723-749.
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    Cited by:

    1. Federica Briata & Marco Dall’Aglio & Vito Fragnelli, 2012. "Dynamic Collusion and Collusion Games in Knaster’s Procedure," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 6(3), pages 199-208, October.
    2. Corradi, Corrado & Corradi, Valentina, 2010. "Strategic manipulations and collusions in Knaster procedure: a comment," MPRA Paper 28678, University Library of Munich, Germany.
    3. Vito Fragnelli & Gianfranco Gambarelli, 2014. "Further open problems in cooperative games," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 51-62.
    4. repec:spr:annopr:v:259:y:2017:i:1:d:10.1007_s10479-017-2651-8 is not listed on IDEAS

    More about this item

    Keywords

    Knaster’s procedure; misrepresentation; collusion;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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