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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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    References listed on IDEAS

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    Cited by:

    1. Corradi, Corrado & Corradi, Valentina, 2010. "Strategic manipulations and collusions in Knaster procedure: a comment," MPRA Paper 28678, University Library of Munich, Germany.
    2. Vito Fragnelli & Gianfranco Gambarelli, 2014. "Further open problems in cooperative games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 51-62.
    3. 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.
    4. Federica Briata & Andrea Dall’Aglio & Marco Dall’Aglio & Vito Fragnelli, 2017. "The Shapley value in the Knaster gain game," Annals of Operations Research, Springer, vol. 259(1), pages 1-19, December.

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    More about this item

    Keywords

    Knaster’s procedure; misrepresentation; collusion;
    All these keywords.

    JEL classification:

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

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