IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v30y2020i4p1565-1590.html
   My bibliography  Save this article

Effective risk aversion in thin risk‐sharing markets

Author

Listed:
  • Michail Anthropelos
  • Constantinos Kardaras
  • Georgios Vichos

Abstract

We consider thin incomplete financial markets, where traders with heterogeneous preferences and risk exposures have motive to behave strategically regarding the demand schedules they submit, thereby impacting prices and allocations. We argue that traders relatively more exposed to the market portfolio tend to behave in a more risk tolerant manner. Noncompetitive equilibrium prices and allocations result as an outcome of a game among traders. General sufficient conditions for existence and uniqueness of such equilibrium are provided, with extensive analysis of two‐trader transactions. Even though strategic behavior causes inefficient social allocations, traders with sufficiently high risk tolerance and/or high initial exposure to tradable securities obtain more utility gain in the noncompetitive equilibrium, when compared to the competitive one.

Suggested Citation

  • Michail Anthropelos & Constantinos Kardaras & Georgios Vichos, 2020. "Effective risk aversion in thin risk‐sharing markets," Mathematical Finance, Wiley Blackwell, vol. 30(4), pages 1565-1590, October.
    • Handle: RePEc:bla:mathfi:v:30:y:2020:i:4:p:1565-1590
    DOI: 10.1111/mafi.12258
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/mafi.12258
    Download Restriction: no
    File URL: https://libkey.io/10.1111/mafi.12258?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Michail Anthropelos & Constantinos Kardaras, 2014. "Equilibrium in risk-sharing games," Papers 1412.4208, arXiv.org, revised Jul 2016.
    2. Darrell Duffie & Nicolae Gârleanu & Lasse Heje Pedersen, 2007. "Valuation in Over-the-Counter Markets," The Review of Financial Studies, Society for Financial Studies, vol. 20(6), pages 1865-1900, November.
    3. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    4. Gibson, Scott & Singh, Rajdeep & Yerramilli, Vijay, 2003. "The effect of decimalization on the components of the bid-ask spread," Journal of Financial Intermediation, Elsevier, vol. 12(2), pages 121-148, April.
    5. Liu, Hong & Wang, Yajun, 2016. "Market making with asymmetric information and inventory risk," Journal of Economic Theory, Elsevier, vol. 163(C), pages 73-109.
    6. Dimitri Vayanos, 1999. "Strategic Trading and Welfare in a Dynamic Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 219-254.
    7. Markus K. Brunnermeier & Lasse Heje Pedersen, 2005. "Predatory Trading," Journal of Finance, American Finance Association, vol. 60(4), pages 1825-1863, August.
    8. Michail Anthropelos & Gordan Zitkovic, 2008. "On Agents' Agreement and Partial-Equilibrium Pricing in Incomplete Markets," Papers 0803.2198, arXiv.org.
    9. Albert S Kyle & Anna A Obizhaeva & Yajun Wang, 2018. "Smooth Trading with Overconfidence and Market Power," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 611-662.
    10. Adam Zawadowski, 2013. "Entangled Financial Systems," The Review of Financial Studies, Society for Financial Studies, vol. 26(5), pages 1291-1323.
    11. Duffie, Darrell & Scheicher, Martin & Vuillemey, Guillaume, 2015. "Central clearing and collateral demand," Journal of Financial Economics, Elsevier, vol. 116(2), pages 237-256.
    12. Keim, Donald B. & Madhavan, Ananth, 1995. "Anatomy of the trading process Empirical evidence on the behavior of institutional traders," Journal of Financial Economics, Elsevier, vol. 37(3), pages 371-398, March.
    13. Scott Robertson, 2017. "Pricing For Large Positions In Contingent Claims," Mathematical Finance, Wiley Blackwell, vol. 27(3), pages 746-778, July.
    14. Bühlmann, Hans, 1984. "The General Economic Premium Principle," ASTIN Bulletin, Cambridge University Press, vol. 14(1), pages 13-21, April.
    15. Ana Babus, 2016. "The formation of financial networks," RAND Journal of Economics, RAND Corporation, vol. 47(2), pages 239-272, May.
    16. repec:dau:papers:123456789/361 is not listed on IDEAS
    17. Barrieu, Pauline & El Karoui, Nicole, 2005. "Inf-convolution of risk measures and optimal risk transfer," LSE Research Online Documents on Economics 2829, London School of Economics and Political Science, LSE Library.
    18. Kerry Back & C. Henry Cao & Gregory A. Willard, 2000. "Imperfect Competition among Informed Traders," Journal of Finance, American Finance Association, vol. 55(5), pages 2117-2155, October.
    19. E. Jouini & W. Schachermayer & N. Touzi, 2008. "Optimal Risk Sharing For Law Invariant Monetary Utility Functions," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 269-292, April.
    20. Keim, Donald B & Madhaven, Ananth, 1996. "The Upstairs Market for Large-Block Transactions: Analysis and Measurement of Price Effects," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 1-36.
    21. Semyon Malamud & Marzena Rostek, 2017. "Decentralized Exchange," American Economic Review, American Economic Association, vol. 107(11), pages 3320-3362, November.
    22. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    23. Madhavan, Ananth & Cheng, Minder, 1997. "In Search of Liquidity: Block Trades in the Upstairs and Downstairs Markets," The Review of Financial Studies, Society for Financial Studies, vol. 10(1), pages 175-203.
    24. Marzena Rostek & Marek Weretka, 2012. "Price Inference in Small Markets," Econometrica, Econometric Society, vol. 80(2), pages 687-711, March.
    25. Back, Kerry, 1992. "Insider Trading in Continuous Time," The Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 387-409.
    26. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 317-355.
    27. Babus, Ana & Hu, Tai-Wei, 2017. "Endogenous intermediation in over-the-counter markets," Journal of Financial Economics, Elsevier, vol. 125(1), pages 200-215.
    28. Marzena Rostek & Marek Weretka, 2015. "Dynamic Thin Markets," The Review of Financial Studies, Society for Financial Studies, vol. 28(10), pages 2946-2992.
    29. Pauline Barrieu & Nicole El Karoui, 2005. "Inf-convolution of risk measures and optimal risk transfer," Finance and Stochastics, Springer, vol. 9(2), pages 269-298, April.
    30. Terrence Hendershott & Ananth Madhavan, 2015. "Click or Call? Auction versus Search in the Over-the-Counter Market," Journal of Finance, American Finance Association, vol. 70(1), pages 419-447, February.
    31. Weretka, Marek, 2011. "Endogenous market power," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2281-2306.
    32. Michail Anthropelos & Constantinos Kardaras, 2017. "Equilibrium in risk-sharing games," Finance and Stochastics, Springer, vol. 21(3), pages 815-865, July.
    33. Michael Magill & Martine Quinzii, 2002. "Theory of Incomplete Markets, Volume 1," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262632543, April.
    34. Amir, Rabah & Erickson, Philip & Jin, Jim, 2017. "On the microeconomic foundations of linear demand for differentiated products," Journal of Economic Theory, Elsevier, vol. 169(C), pages 641-665.
    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. Anthropelos, Michail & Boonen, Tim J., 2020. "Nash equilibria in optimal reinsurance bargaining," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 196-205.
    2. Anthropelos, Michail & Kardaras, Constantinos, 2024. "Price impact under heterogeneous beliefs and restricted participation," Journal of Economic Theory, Elsevier, vol. 215(C).

    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. Michail Anthropelos & Scott Robertson & Konstantinos Spiliopoulos, 2018. "Optimal Investment, Demand and Arbitrage under Price Impact," Papers 1804.09151, arXiv.org, revised Dec 2018.
    2. Michail Anthropelos & Scott Robertson & Konstantinos Spiliopoulos, 2021. "Optimal investment, derivative demand, and arbitrage under price impact," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 3-35, January.
    3. Vayanos, Dimitri & Wang, Jiang, 2013. "Market Liquidity—Theory and Empirical Evidence ," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 1289-1361, Elsevier.
    4. Anthropelos, Michail & Kardaras, Constantinos, 2024. "Price impact under heterogeneous beliefs and restricted participation," Journal of Economic Theory, Elsevier, vol. 215(C).
    5. Jason Allen & Milena Wittwer, 2023. "Intermediary Market Power and Capital Constraints," Staff Working Papers 23-51, Bank of Canada.
    6. Marek Weretka & Daniel Quint, 2022. "Slope-takers in anonymous markets," GRAPE Working Papers 64, GRAPE Group for Research in Applied Economics.
    7. Glebkin, Sergei & Kuong, John Chi-Fong, 2023. "When large traders create noise," Journal of Financial Economics, Elsevier, vol. 150(2).
    8. Dimitri Vayanos & Jiang Wang, 2012. "Market Liquidity -- Theory and Empirical Evidence," NBER Working Papers 18251, National Bureau of Economic Research, Inc.
    9. Puru Gupta & Saul D. Jacka, 2023. "Portfolio Choice In Dynamic Thin Markets: Merton Meets Cournot," Papers 2309.16047, arXiv.org.
    10. Michail Anthropelos & Constantinos Kardaras, 2017. "Equilibrium in risk-sharing games," Finance and Stochastics, Springer, vol. 21(3), pages 815-865, July.
    11. Biais, Bruno & Glosten, Larry & Spatt, Chester, 2005. "Market microstructure: A survey of microfoundations, empirical results, and policy implications," Journal of Financial Markets, Elsevier, vol. 8(2), pages 217-264, May.
    12. Michail Anthropelos & Constantinos Kardaras, 2014. "Equilibrium in risk-sharing games," Papers 1412.4208, arXiv.org, revised Jul 2016.
    13. Michail Anthropelos & Constantinos Kardaras, 2018. "Price Impact Under Heterogeneous Beliefs and Restricted Participation," Papers 1802.09954, arXiv.org, revised Dec 2023.
    14. Lou, Youcheng & Rahi, Rohit, 2023. "Information, market power and welfare," LSE Research Online Documents on Economics 120479, London School of Economics and Political Science, LSE Library.
    15. Samuel Antill & Darrell Duffie, 2021. "Augmenting Markets with Mechanisms [Optimal Execution of Portfolio Transactions]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 1665-1719.
    16. Duffie, Darrell & Antill, Samuel, 2017. "Augmenting Markets with Mechanisms," Research Papers repec:ecl:stabus:3623, Stanford University, Graduate School of Business.
    17. Zhang, Anthony Lee, 2022. "Competition and manipulation in derivative contract markets," Journal of Financial Economics, Elsevier, vol. 144(2), pages 396-413.
    18. Wang, Ruodu & Wei, Yunran, 2020. "Characterizing optimal allocations in quantile-based risk sharing," Insurance: Mathematics and Economics, Elsevier, vol. 93(C), pages 288-300.
    19. Michail Anthropelos & Scott Robertson, 2024. "Strategic Informed Trading and the Value of Private Information," Papers 2404.08757, arXiv.org.
    20. Andrés Carvajal & Marek Weretka, 2012. "No-arbitrage, state prices and trade in thin financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 223-268, May.

    More about this item

    JEL classification:

    • F3 - International Economics - - International Finance
    • G3 - Financial Economics - - Corporate Finance and Governance

    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:bla:mathfi:v:30:y:2020:i:4:p:1565-1590. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627 .

    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.