IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v46y2010i2p148-162.html
   My bibliography  Save this article

Strategic behavior in financial markets

Author

Listed:
  • Kannai, Yakar
  • Rosenmüller, Joachim

Abstract

We describe a financial market as a noncooperative game in strategic form. Agents may borrow or deposit money at a central bank and use the cash available to them in order to purchase a commodity for immediate consumption. They derive positive utility from consumption and from having cash reserves at the end of the day, whereas being bankrupt entails negative utility. The bank fixes interest rates. The existence of Nash equilibria (both mixed and pure) of the ensuing game is proved under various assumptions. In particular, no agent is bankrupt at equilibrium. Asymptotic behavior of replica markets is discussed, and it is shown that given appropriate assumptions, the difference between a strategic player and a price taker is negligible in a large economy.

Suggested Citation

  • Kannai, Yakar & Rosenmüller, Joachim, 2010. "Strategic behavior in financial markets," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 148-162, March.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:2:p:148-162
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(09)00101-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Charles Goodhart & Pojanart Sunirand & Dimitrios Tsomocos, 2006. "A model to analyse financial fragility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 107-142, January.
    2. M. Shubik & D. Tsomocos, 1992. "A strategic market game with a mutual bank with fractional reserves and redemption in gold," Journal of Economics, Springer, vol. 55(2), pages 123-150, June.
    3. Gaël Giraud & Hubert Stahn, 2008. "On Shapley–Shubik equilibria with financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(3), pages 469-496, June.
    4. Dimitrios P. Tsomocos, 2012. "Equilibrium Analysis, Banking and Financial Instability," Chapters, in: The Challenge of Financial Stability, chapter 4, pages 61-97, Edward Elgar Publishing.
    5. 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.
    6. Gaetano Bloise & Jacques H. Drèze & Herakles M. Polemarchakis, 2006. "Monetary Equilibria over an Infinite Horizon," Studies in Economic Theory, in: Christian Schultz & Karl Vind (ed.), Institutions, Equilibria and Efficiency, chapter 5, pages 69-93, Springer.
    7. Dubey, Pradeep & Geanakoplos, John, 2003. "Monetary equilibrium with missing markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 585-618, July.
    8. Goodhart, Charles A. E. & Sunirand, Pojanart & Tsomocos, Dimitrios P., 2004. "A model to analyse financial fragility: applications," Journal of Financial Stability, Elsevier, vol. 1(1), pages 1-30, September.
    9. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2000. "Default in a General Equilibrium Model with Incomplete Markets," Cowles Foundation Discussion Papers 1247, Cowles Foundation for Research in Economics, Yale University.
    11. Martin Shubik & Ward Whitt, 1973. "Fiat Money in an Economy with One Nondurable Good and No Credit (A Noncooperative Sequential Game)," Cowles Foundation Discussion Papers 355, Cowles Foundation for Research in Economics, Yale University.
    12. Geanakoplos, J. & Karatzas, I. & Shubik, M. & Sudderth, W., 2000. "A strategic market game with active bankruptcy," Journal of Mathematical Economics, Elsevier, vol. 34(3), pages 359-396, November.
    13. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
    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. Villena, Marcelo J. & Reus, Lorenzo, 2016. "On the strategic behavior of large investors: A mean-variance portfolio approach," European Journal of Operational Research, Elsevier, vol. 254(2), pages 679-688.
    2. Smith, Eric & Shubik, Martin, 2011. "Endogenizing the provision of money: Costs of commodity and fiat monies in relation to the value of trade," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 508-530.
    3. Hui, Wang & Xin-gang, Zhao & Ling-zhi, Ren & Fan, Lu, 2021. "An agent-based modeling approach for analyzing the influence of market participants’ strategic behavior on green certificate trading," Energy, Elsevier, vol. 218(C).
    4. Shiwei Yu & Chengzhu Gong & Weidong Jia & Li Ma, 2024. "A tripartite evolutionary game model for tradable green certificate transaction strategies in China," Operational Research, Springer, vol. 24(4), pages 1-29, December.

    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. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    2. Goodhart, Charles A.E. & Tsomocos, Dimitrios P. & Wang, Xuan, 2023. "Bank credit, inflation, and default risks over an infinite horizon," Journal of Financial Stability, Elsevier, vol. 67(C).
    3. Gaël Giraud & Dimitrios Tsomocos, 2004. "Global uniqueness and money non-neutrality in a Walrasian dynamics without rational expectations," Cahiers de la Maison des Sciences Economiques b04121, Université Panthéon-Sorbonne (Paris 1).
    4. Gaël Giraud & Dimitrios Tsomocos, 2010. "Nominal uniqueness and money non-neutrality in the limit-price exchange process," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 303-348, October.
    5. Li Lin & Dimitrios P. Tsomocos & Alexandros P. Vardoulakis, 2016. "On default and uniqueness of monetary equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 245-264, June.
    6. Xuan Wang, 2019. "When Do Currency Unions Benefit From Default ?," 2019 Papers pwa938, Job Market Papers.
    7. Xuan Wang, 2021. "Bankruptcy Codes and Risk Sharing of Currency Unions," Tinbergen Institute Discussion Papers 21-009/IV, Tinbergen Institute.
    8. Dimitrios Tsomocos, 2003. "Equilibrium analysis, banking, contagion and financial fragility," FMG Discussion Papers dp450, Financial Markets Group.
    9. Sudipto Bhattacharya & Pojanart Sunirand, 2012. "Banks, Relative Performance, and Sequential Contagion," Chapters, in: The Challenge of Financial Stability, chapter 7, pages 153-170, Edward Elgar Publishing.
    10. Goodhart, C.A.E. & Sunirand, P. & Tsomocos, D.P., 2011. "The optimal monetary instrument for prudential purposes," Journal of Financial Stability, Elsevier, vol. 7(2), pages 70-77, June.
    11. Charles A.E. Goodhart & Pojanart Sunirand & Dimitrios P. Tsomocos, 2005. "A risk assessment model for banks," Annals of Finance, Springer, vol. 1(2), pages 197-224, September.
    12. Xuan Wang, 2020. "A Macro-Financial Perspective to Analyse Maturity Mismatch and Default," Tinbergen Institute Discussion Papers 20-064/IV, Tinbergen Institute.
    13. Goodhart, Charles A. E. & Sunirand, Pojanart & Tsomocos, Dimitrios P., 2004. "A model to analyse financial fragility: applications," Journal of Financial Stability, Elsevier, vol. 1(1), pages 1-30, September.
    14. Gersbach, Hans & Zelzner, Sebastian, 2022. "Why bank money creation?," CFS Working Paper Series 678, Center for Financial Studies (CFS).
    15. Charles Goodhart & Pojanart Sunirand & Dimitrios Tsomocos, 2006. "A model to analyse financial fragility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 107-142, January.
    16. Charles Goodhart & Pojanart Sunirand & Dimitrios Tsomocos, 2006. "A Time Series Analysis of Financial Fragility in the UK Banking System," Annals of Finance, Springer, vol. 2(1), pages 1-21, January.
    17. Kannai, Yakar & Rosenmüller, Joachim, 2016. "Strategic Behavior on Financial Markets," Center for Mathematical Economics Working Papers 351, Center for Mathematical Economics, Bielefeld University.
    18. Charles Goodhart,Dimitrios Tsomocos & Martin Shubik, 2013. "Macro-Modelling, Default and Money," FMG Special Papers sp224, Financial Markets Group.
    19. Wang, Xuan, 2023. "A macro-financial perspective to analyse maturity mismatch and default," Journal of Banking & Finance, Elsevier, vol. 151(C).
    20. Raphaël Espinoza & Charles. Goodhart & Dimitrios Tsomocos, 2009. "State prices, liquidity, and default," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 177-194, May.

    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:mateco:v:46:y:2010:i:2:p:148-162. 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/jmateco .

    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.