IDEAS home Printed from https://ideas.repec.org/p/wpa/wuwpga/0512005.html
   My bibliography  Save this paper

Existence of Equilibrium in Discrete Market Games

Author

Listed:
  • Somdeb Lahiri

    (Institute for Financial Management & Research)

Abstract

In this paper we show that a feasible price allocation pair is a market equilibrium of a discrete market game if and only if it solves a linear programming problem. We use this result to obtain computable necessary and sufficient conditions for the existence of market equilibrium. We assume that the production functions of the profit maximizing agents are discrete concave.

Suggested Citation

  • Somdeb Lahiri, 2005. "Existence of Equilibrium in Discrete Market Games," Game Theory and Information 0512005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0512005
    Note: Type of Document - pdf
    as

    Download full text from publisher

    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0512/0512005.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zaifu YANG & Ning SUN, 2004. "The Max-Convolution Approach to Equilibrium Models with Indivisibilities," Econometric Society 2004 Far Eastern Meetings 564, Econometric Society.
    2. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    3. Somdeb Lahiri, 2005. "Manipulation via Endowments in a Market with Profit Maximizing Agents," Game Theory and Information 0511008, University Library of Munich, Germany.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Somdeb Lahiri, 2005. "Consistency and the Competitive Outcome Function," Game Theory and Information 0512002, University Library of Munich, Germany.
    2. Somdeb Lahiri, 2006. "Existence of Equilibrium for Integer Allocation Problems," Economics Bulletin, AccessEcon, vol. 28(14), pages 1.
    3. Somdeb Lahiri, 2005. "Manipulation via Endowments in a Market with Profit Maximizing Agents," Game Theory and Information 0511008, University Library of Munich, Germany.
    4. Martin Shubik, 1984. "The Cooperative Form, the Value and the Allocation of Joint Costs and Benefits," Cowles Foundation Discussion Papers 706, Cowles Foundation for Research in Economics, Yale University.
    5. Avishay Aiche, 2019. "On the equal treatment imputations subset in the bargaining set for smooth vector-measure games with a mixed measure space of players," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(2), pages 411-421, June.
    6. Judith Timmer & Werner Scheinhardt, 2018. "Customer and Cost Sharing in a Jackson Network," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 1-10, September.
    7. Kovalenkov, A. & Holtz Wooders, M., 1997. "Epsilon Cores of Games and Economies With Limited Side Payments," UFAE and IAE Working Papers 392.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    8. Sun, Ning & Trockel, Walter & Yang, Zaifu, 2008. "Competitive outcomes and endogenous coalition formation in an n-person game," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 853-860, July.
    9. Imre Fertő & László Á Kóczy & Attila Kovács & Balázs R Sziklai, 0. "The power ranking of the members of the Agricultural Committee of the European Parliament," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 47(5), pages 1897-1919.
    10. Csóka Péter & Pintér Miklós, 2016. "On the Impossibility of Fair Risk Allocation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 16(1), pages 143-158, January.
    11. Pálvölgyi, Dénes & Peters, Hans & Vermeulen, Dries, 2014. "A strategic approach to multiple estate division problems," Games and Economic Behavior, Elsevier, vol. 88(C), pages 135-152.
    12. Lahiri, Somdeb, 2008. "Manipulation of market equilibrium via endowments," MPRA Paper 10002, University Library of Munich, Germany.
    13. Streekstra, Leanne & Trudeau, Christian, 2020. "Stable source connection and assignment problems as multi-period shortest path problems," Discussion Papers on Economics 7/2020, University of Southern Denmark, Department of Economics.
    14. Qin, Cheng-Zhong & Shapley, Lloyd S. & Shimomura, Ken-Ichi, 2006. "The Walras core of an economy and its limit theorem," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 180-197, April.
    15. Kóczy, LászlóÁ., 2015. "Stationary consistent equilibrium coalition structures constitute the recursive core," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 104-110.
    16. Sjur Flåm, 2009. "Pooling, pricing and trading of risks," Annals of Operations Research, Springer, vol. 165(1), pages 145-160, January.
    17. Algaba, Encarnación & Béal, Sylvain & Fragnelli, Vito & Llorca, Natividad & Sánchez-Soriano, Joaquin, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Economics Letters, Elsevier, vol. 185(C).
    18. Alexander Kovalenkov & Myrna Wooders, 2005. "Laws of scarcity for a finite game - exact bounds on estimations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 383-396, August.
    19. Aringhieri, Roberto & Duma, Davide & Fragnelli, Vito, 2018. "Modeling the rational behavior of individuals on an e-commerce system," Operations Research Perspectives, Elsevier, vol. 5(C), pages 22-31.
    20. Hayashi, Fumio & Matsui, Akihiko, 1996. "A Model of Fiat Money and Barter," Journal of Economic Theory, Elsevier, vol. 68(1), pages 111-132, January.

    More about this item

    Keywords

    discrete concave; existence; market equilibrium; linear programming;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpga:0512005. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.