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A Method for Finding the Maximal Set in Excess Demand

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Abstract

We present a polynomial time method for identifying the maximal set in excess demand at a given payoff vector. This set can be used in "large" partnership formation problems to identify the minimum element in the set of individually rational payoff vectors at which there is no overdemanded set of agents. This minimum element corresponds to the minimum Walrasian equilibrium price vector in a special case of the partnership formation problem.

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  • Andersson , Tommy & Erlanson , Albin & Gudmundsson , Jens & Habis , Helga & Ingebretsen Carlson, Jim & Kratz, Jörgen, 2014. "A Method for Finding the Maximal Set in Excess Demand," Working Papers 2014:9, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2014_009
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    1. T. Andersson & C. Andersson & A. Talman, 2013. "Sets in excess demand in simple ascending auctions with unit-demand bidders," Annals of Operations Research, Springer, vol. 211(1), pages 27-36, December.
    2. Gerard van der Laan & Zaifu Yang, 2016. "An ascending multi-item auction with financially constrained bidders," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 109-149, December.
    3. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-888, July.
    4. Pierre-André Chiappori & Alfred Galichon & Bernard Salanié, 2012. "The Roommate Problem is More Stable than You Think," SciencePo Working papers Main hal-03588302, HAL.
    5. Andersson, T.D. & Andersson, C. & Talman, A.J.J., 2010. "Sets in Excess Demand in Ascending Auctions with Unit-Demand Bidders," Other publications TiSEM c7482a22-cb73-428b-9cc0-e, Tilburg University, School of Economics and Management.
    6. Andersson, Tommy & Gudmundsson, Jens & Talman, Dolf & Yang, Zaifu, 2014. "A competitive partnership formation process," Games and Economic Behavior, Elsevier, vol. 86(C), pages 165-177.
    7. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
    8. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-872, August.
    9. Ahmet Alkan & Alparslan Tuncay, 2014. "Pairing Games and Markets," Working Papers 2014.48, Fondazione Eni Enrico Mattei.
    10. repec:hal:spmain:info:hdl:2441/3sd5loegec9d3o795888da61tp is not listed on IDEAS
    11. Sankaran, Jayaram K., 1994. "On a dynamic auction mechanism for a bilateral assignment problem," Mathematical Social Sciences, Elsevier, vol. 28(2), pages 143-150, October.
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    Cited by:

    1. Akiyoshi Shioura, 2017. "On the Partnership formation problem," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 2(1), pages 105-140, December.
    2. Jens Gudmundsson, 2014. "Sequences in Pairing Problems: A new approach to reconcile stability with strategy-proofness for elementary matching problems," 2014 Papers pgu351, Job Market Papers.

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    More about this item

    Keywords

    Partnership formation; polynomial time method; excess demand;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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