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Large market games, the law of one price, and market structure

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  • Toraubally, Waseem A.

Abstract

This paper introduces a new class of market games featuring multiple posts per commodity, in which trading posts are privately owned. It is demonstrated via three robust counterexamples, that in this setting the law of one price fails, thus showing, contrary to longstanding belief in the literature, that price dispersion in large market games is extremely robust. Most importantly, it is established that even in economies with a continuum of small agents and infinitely many atoms (all of whom can arbitrage prices if they so wish), and an infinite number of markets per commodity, the set of equilibria—and the resulting market structure—is influenced, both by strategic behaviour, and private ownership of posts.

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  • 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.
    • Handle: RePEc:eee:mateco:v:78:y:2018:i:c:p:13-26
    DOI: 10.1016/j.jmateco.2018.06.007
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    References listed on IDEAS

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    1. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
    2. Jean J. Gabszewicz & Lisa Grazzini, 1999. "Taxing Market Power," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 475-497, October.
    3. Koutsougeras, L., 1999. "A Remark on the Number of Trading Posts in Strategic Market Games," Discussion Paper 1999-04, Tilburg University, Center for Economic Research.
    4. 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.
    5. 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.
    6. Waseem Toraubally, 2017. "Strategic Market Games and Ricardo," Economics Bulletin, AccessEcon, vol. 37(4), pages 2517-2525.
    7. Bloch, Francis & Ferrer, Helene, 2001. "Trade Fragmentation and Coordination in Strategic Market Games," Journal of Economic Theory, Elsevier, vol. 101(1), pages 301-316, November.
    8. Koutsougeras, Leonidas C., 2003. "Convergence to no arbitrage equilibria in market games," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 401-420, July.
    9. 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.
    10. Leonidas C. Koutsougeras & Nicholas Ziros, 2015. "The Second Welfare Theorem in Economies with Non-Walrasian Markets," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 415-432, June.
    11. KOUTSOUGERAS, Leonidas C., 1999. "A remark on the number of trading posts in strategic market games," LIDAM Discussion Papers CORE 1999005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    12. Gabszewicz, Jean J & Grazzini, Lisa, 1999. "Taxing Market Power," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(4), pages 475-497.
    13. Dubey, Pradeep & Shapley, Lloyd S., 1994. "Noncooperative general exchange with a continuum of traders: Two models," Journal of Mathematical Economics, Elsevier, vol. 23(3), pages 253-293, May.
    14. Rogawski, J. & Shubik, M., 1986. "A strategic market game with transactions costs," Mathematical Social Sciences, Elsevier, vol. 11(2), pages 139-160, April.
    15. Koutsougeras, L., 1999. "A Remark on the Number of Trading Posts in Strategic Market Games," Other publications TiSEM eac59545-f91e-41f1-8067-1, Tilburg University, School of Economics and Management.
    16. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, November.
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    Cited by:

    1. Toraubally, Waseem A., 2022. "Strategic trading and Ricardian comparative advantage," Journal of Economic Behavior & Organization, Elsevier, vol. 195(C), pages 428-447.
    2. Toraubally, Waseem A., 2022. "Price dispersion and vanilla options in a financial market game," Finance Research Letters, Elsevier, vol. 50(C).
    3. Toraubally, Waseem A., 2019. "Arbitrage equilibria in large games with many commodities," Economics Letters, Elsevier, vol. 179(C), pages 24-28.
    4. 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.

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