IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v179y2019icp24-28.html
   My bibliography  Save this article

Arbitrage equilibria in large games with many commodities

Author

Listed:
  • Toraubally, Waseem A.

Abstract

Can identical goods sell at different prices in identical markets when people are perfectly mobile? We provide a formal account of strategic behaviour in large games with many commodities, and exhibit how it drives price dispersion at equilibrium. Interactions between agents are modelled using a Shapley–Shubik market game. We demonstrate the failure of the law of one price in this setup through a robust counterexample. The proposed model, and our findings, constitute an alternative and plausible explanation to some “anomalies” which routinely appear in a wide array of fields, ranging from banking, business economics, to international, and labour economics.

Suggested Citation

  • Toraubally, Waseem A., 2019. "Arbitrage equilibria in large games with many commodities," Economics Letters, Elsevier, vol. 179(C), pages 24-28.
  • Handle: RePEc:eee:ecolet:v:179:y:2019:i:c:p:24-28
    DOI: 10.1016/j.econlet.2019.03.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176519300734
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2019.03.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Steven Salop & Joseph Stiglitz, 1977. "Bargains and Ripoffs: A Model of Monopolistically Competitive Price Dispersion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 493-510.
    2. Tsionas, Mike G. & Izzeldin, Marwan, 2018. "Smooth approximations to monotone concave functions in production analysis: An alternative to nonparametric concave least squares," European Journal of Operational Research, Elsevier, vol. 271(3), pages 797-807.
    3. Kreps, David M., 1981. "Arbitrage and equilibrium in economies with infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 8(1), pages 15-35, March.
    4. Postlewaite, A & Schmeidler, David, 1978. "Approximate Efficiency of Non-Walrasian Nash Equilibria," Econometrica, Econometric Society, vol. 46(1), pages 127-135, January.
    5. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    6. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November.
    7. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    8. Dimitrios Xefteris & Nicholas Ziros, 2017. "Strategic Vote Trading in Power Sharing Systems," American Economic Journal: Microeconomics, American Economic Association, vol. 9(2), pages 76-94, May.
    9. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    10. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    11. Goenka, Aditya & Kelly, David L. & Spear, Stephen E., 1998. "Endogenous Strategic Business Cycles," Journal of Economic Theory, Elsevier, vol. 81(1), pages 97-125, July.
    12. Reinganum, Jennifer F, 1979. "A Simple Model of Equilibrium Price Dispersion," Journal of Political Economy, University of Chicago Press, vol. 87(4), pages 851-858, August.
    13. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    14. Jonathan Haskel & Holger Wolf, 2001. "The Law of One Price—A Case Study," Scandinavian Journal of Economics, Wiley Blackwell, vol. 103(4), pages 545-558, December.
    15. Goenka, Aditya, 2003. "Informed trading and the 'leakage' of information," Journal of Economic Theory, Elsevier, vol. 109(2), pages 360-377, April.
    16. Toraubally, Waseem A., 2018. "Large market games, the law of one price, and market structure," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 13-26.
    17. Koutsougeras, Leonidas C., 2003. "Non-Walrasian equilibria and the law of one price," Journal of Economic Theory, Elsevier, vol. 108(1), pages 169-175, January.
    18. repec:bla:scandj:v:103:y:2001:i:4:p:545-58 is not listed on IDEAS
    19. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Toraubally, Waseem A., 2024. "Quantity competition in Hotellings linear city," CRETA Online Discussion Paper Series 87, Centre for Research in Economic Theory and its Applications CRETA.
    2. Toraubally, Waseem A., 2022. "Strategic trading and Ricardian comparative advantage," Journal of Economic Behavior & Organization, Elsevier, vol. 195(C), pages 428-447.
    3. Toraubally, Waseem A., 2023. "Comparative advantage with many goods: New treatment and results," European Journal of Operational Research, Elsevier, vol. 311(3), pages 1188-1201.

    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. Donna, Javier D. & Schenone, Pablo & Veramendi, Gregory F., 2020. "Networks, frictions, and price dispersion," Games and Economic Behavior, Elsevier, vol. 124(C), pages 406-431.
    2. Régis Breton & Bertrand Gobillard, 2005. "Robustness of equilibrium price dispersion in finite market games," Post-Print halshs-00257207, HAL.
    3. Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.
    4. Valeria Cirillo & Matteo Sostero & Federico Tamagni, 2017. "Innovation and within-firm wage inequalities: empirical evidence from major European countries," Industry and Innovation, Taylor & Francis Journals, vol. 24(5), pages 468-491, July.
    5. Galenianos, Manolis & Kircher, Philipp, 2009. "Directed search with multiple job applications," Journal of Economic Theory, Elsevier, vol. 144(2), pages 445-471, March.
    6. Peter Diamond, 2011. "Unemployment, Vacancies, Wages," American Economic Review, American Economic Association, vol. 101(4), pages 1045-1072, June.
    7. Marotzke, Petra, 2013. "Job Search and the Age-Inequality Profile," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 80007, Verein für Socialpolitik / German Economic Association.
    8. Giovanni Sulis, 2008. "Wage Dispersion and Equilibrium Search Models: Some Evidence from Italy," LABOUR, CEIS, vol. 22(4), pages 593-627, December.
    9. Pissarides, Christopher A., 2015. "Dale Mortensen: An appreciation," Research in Economics, Elsevier, vol. 69(1), pages 1-6.
    10. Jesper Bagger & Mads Hejlesen & Kazuhiko Sumiya & Rune Vejlin, 2018. "Income Taxation and the Equilibrium Allocation of Labor," Economics Working Papers 2018-06, Department of Economics and Business Economics, Aarhus University.
    11. Damien Gaumont & Martin Schindler & Randall Wright, 2006. "Alternative Theories of Wage Dispersion," Contributions to Economic Analysis, in: Structural Models of Wage and Employment Dynamics, pages 61-82, Emerald Group Publishing Limited.
    12. Toraubally, Waseem A., 2022. "Strategic trading and Ricardian comparative advantage," Journal of Economic Behavior & Organization, Elsevier, vol. 195(C), pages 428-447.
    13. Rasmus Lentz & Nicolas Roys, 2024. "Training and Search On the Job," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 53, pages 123-146, July.
    14. Rasmus Lentz, 2014. "Optimal Employment Contracts with Hidden Search," NBER Working Papers 19988, National Bureau of Economic Research, Inc.
    15. International Monetary Fund, 2005. "Alternative Models of Wage Dispersion," IMF Working Papers 2005/064, International Monetary Fund.
    16. Rasmus Lentz & Nicolas Roys, 2024. "Training and Search On the Job," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 53, pages 123-146, July.
    17. Ambra Poggi, 2013. "Labor mobility network and intra firm wage dispersion," LABORatorio R. Revelli Working Papers Series 133, LABORatorio R. Revelli, Centre for Employment Studies.
    18. Florian Hoffmann & Shouyong Shi, 2016. "Burdett-Mortensen Model of On-the-Job Search with Two Sectors," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 108-134, January.
    19. Gautier, Pieter A. & Moraga-González, José L. & Wolthoff, Ronald P., 2016. "Search costs and efficiency: Do unemployed workers search enough?," European Economic Review, Elsevier, vol. 84(C), pages 123-139.
    20. Wolthoff, Ronald P., 2011. "It's About Time: Implications of the Period Length in an Equilibrium Job Search Model," IZA Discussion Papers 6002, Institute of Labor Economics (IZA).

    More about this item

    Keywords

    Oligopoly; Infinite-dimensional commodity space; Arbitrage; Strategic behaviour;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

    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:eee:ecolet:v:179:y:2019:i:c:p:24-28. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.