IDEAS home Printed from https://ideas.repec.org/p/hhs/sdueko/2021_008.html
   My bibliography  Save this paper

On manipulability in financial systems

Author

Listed:
  • Sudhölter, Peter

    (Department of Economics)

  • Calleja, Pedro

    (Departament de Matemàtica Econòmica, Financera i Actuarial)

  • Llerena, Francesc

    (Departament de Gestió d’Empreses)

Abstract

We investigate manipulability in the setting of financial systems by considering two weak forms of immunity: non-manipulability via merging and non-manipulability via splitting. Not surprisingly, non-manipulability via splitting is incompatible with some basic axioms: claim boundedness, limited liability, and absolute priority. Outstandingly, we introduce a large class of financial rules that are immune to manipulations via merging. This class includes the proportional financial rule We investigate manipulability in the setting of financial systems by considering two weak forms of immunity: non-manipulability via merging and non-manipulability via splitting. Not surprisingly, non-manipulability via splitting is incompatible with some basic axioms: claim boundedness, limited liability, and absolute priority. Outstandingly, we introduce a large class of financial rules that are immune to manipulations via merging. This class includes the proportional financial rule but also financial rules in accordance with parametric bankruptcy rules fulfilling non-manipulability via merging.

Suggested Citation

  • Sudhölter, Peter & Calleja, Pedro & Llerena, Francesc, 2021. "On manipulability in financial systems," Discussion Papers on Economics 8/2021, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2021_008
    as

    Download full text from publisher

    File URL: https://www.sdu.dk/-/media/files/om_sdu/institutter/ivoe/econ/forside+dpon+manipulability+in+financial+systemsver1.pdf
    File Function: Full text file
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
    2. H. Peyton Young, 1987. "On Dividing an Amount According to Individual Claims or Liabilities," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 398-414, August.
    3. Péter Csóka & P. Jean-Jacques Herings, 2018. "Decentralized Clearing in Financial Networks," Management Science, INFORMS, vol. 64(10), pages 4681-4699, October.
    4. Gabrielle Demange, 2018. "Contagion in Financial Networks: A Threat Index," Management Science, INFORMS, vol. 64(2), pages 955-970, February.
    5. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    6. Matthew O. Jackson & Agathe Pernoud, 2021. "Systemic Risk in Financial Networks: A Survey," Annual Review of Economics, Annual Reviews, vol. 13(1), pages 171-202, August.
    7. Martijn Ketelaars & Peter Borm & Marieke Quant, 2020. "Decentralization and mutual liability rules," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(3), pages 577-599, December.
    8. Mirjam Groote Schaarsberg & Hans Reijnierse & Peter Borm, 2018. "On solving mutual liability problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(3), pages 383-409, June.
    9. Larry Eisenberg & Thomas H. Noe, 2001. "Systemic Risk in Financial Systems," Management Science, INFORMS, vol. 47(2), pages 236-249, February.
    10. Martijn W. Ketelaars & Peter Borm, 2024. "On the unification of centralized and decentralized clearing mechanisms in financial networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 99(3), pages 205-231, June.
    11. Biung-Ghi Ju, 2003. "Manipulation via merging and splitting in claims problems," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 205-215, October.
    12. M. Angeles de Frutos, 1999. "Coalitional manipulations in a bankruptcy problem," Review of Economic Design, Springer;Society for Economic Design, vol. 4(3), pages 255-272.
    13. Glasserman, Paul & Young, H. Peyton, 2016. "Contagion in financial networks," LSE Research Online Documents on Economics 68681, London School of Economics and Political Science, LSE Library.
    14. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    15. Juan D. Moreno-Ternero, 2006. "Proportionality And Non-Manipulability In Bankruptcy Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 127-139.
    16. Paul Glasserman & H. Peyton Young, 2016. "Contagion in Financial Networks," Journal of Economic Literature, American Economic Association, vol. 54(3), pages 779-831, September.
    17. Chen Chen & Garud Iyengar & Ciamac C. Moallemi, 2013. "An Axiomatic Approach to Systemic Risk," Management Science, INFORMS, vol. 59(6), pages 1373-1388, June.
    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. Calleja, Pedro & Llerena, Francesc, 2024. "Proportional clearing mechanisms in financial systems: An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    2. Pedro Calleja & Francesc Llerena, 2023. "Proportional clearing mechanisms in financial systems: an axiomatic approach," UB School of Economics Working Papers 2023/442, University of Barcelona School of Economics.
    3. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2023. "Remarks on solidarity in bankruptcy problems when agents merge or split," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 61-64.
    4. Michel Grabisch & Hervé Moulin & José Manuel Zarzuelo, 2024. "Professor Peter Sudhölter (1957–2024)," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 289-294, June.

    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. Pedro Calleja & Francesc Llerena, 2023. "Proportional clearing mechanisms in financial systems: an axiomatic approach," UB School of Economics Working Papers 2023/442, University of Barcelona School of Economics.
    2. Calleja, Pedro & Llerena, Francesc, 2024. "Proportional clearing mechanisms in financial systems: An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    3. Ketelaars, Martijn & Borm, Peter & Herings, P.J.J., 2023. "Duality in Financial Networks," Other publications TiSEM 26750293-9599-4e05-9ae1-8, Tilburg University, School of Economics and Management.
    4. Martijn W. Ketelaars & Peter Borm, 2024. "On the unification of centralized and decentralized clearing mechanisms in financial networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 99(3), pages 205-231, June.
    5. Péter Csóka & P. Jean-Jacques Herings, 2021. "An Axiomatization of the Proportional Rule in Financial Networks," Management Science, INFORMS, vol. 67(5), pages 2799-2812, May.
    6. Ketelaars, Martijn, 2024. "Clearing in financial networks and dynamic investment under uncertainty," Other publications TiSEM 94768fb9-fd72-405d-a330-6, Tilburg University, School of Economics and Management.
    7. Ketelaars, Martijn & Borm, Peter & Herings, P.J.J., 2024. "The Characterization of Clearing Payments in Financial Networks," Discussion Paper 2024-013, Tilburg University, Center for Economic Research.
    8. Emin Karagözoğlu, 2014. "A noncooperative approach to bankruptcy problems with an endogenous estate," Annals of Operations Research, Springer, vol. 217(1), pages 299-318, June.
    9. Pedro Calleja & Francesc Llerena, 2022. "Non-manipulability by clones in bankruptcy problems," UB School of Economics Working Papers 2022/426, University of Barcelona School of Economics.
    10. Ketelaars, Martijn, 2024. "On the Compatibility of Composition Axioms in Financial Networks," Discussion Paper 2024-007, Tilburg University, Center for Economic Research.
    11. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
    12. Karol Flores-Szwagrzak & Jaume García-Segarra & Miguel Ginés-Vilar, 2020. "Priority and proportionality in bankruptcy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(4), pages 559-579, April.
    13. Ketelaars, Martijn, 2024. "On the Compatibility of Composition Axioms in Financial Networks," Other publications TiSEM 041e8388-cc78-4d6b-b6ba-5, Tilburg University, School of Economics and Management.
    14. Csóka, Péter, 2017. "Az arányos csődszabály karakterizációja körbetartozások esetén [The characterization of the proportional rule in the case of circular liabilities]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(9), pages 930-942.
    15. Bas Dietzenbacher & Yuki Tamura & William Thomson, 2024. "Partial-implementation invariance and claims problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 203-229, August.
    16. Péter Csóka & P. Jean-Jacques Herings, 2023. "An Axiomatization of the Pairwise Netting Proportional Rule in Financial Networks," CERS-IE WORKING PAPERS 2301, Institute of Economics, Centre for Economic and Regional Studies.
    17. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357, Elsevier.
    18. Biung-Ghi Ju & Juan D. Moreno-Ternero, 2006. "Progressivity, Inequality Reduction, and Merging-Proofness in Taxation," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200603, University of Kansas, Department of Economics, revised Feb 2006.
    19. Hougaard, Jens Leth & Osterdal, Lars Peter, 2005. "Inequality preserving rationing," Economics Letters, Elsevier, vol. 87(3), pages 355-360, June.
    20. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2023. "Remarks on solidarity in bankruptcy problems when agents merge or split," Mathematical Social Sciences, Elsevier, vol. 125(C), pages 61-64.

    More about this item

    Keywords

    Financial systems; manipulability via merging; manipulability via splitting; parametric bankruptcy rules;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

    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:hhs:sdueko:2021_008. 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: Astrid Holm Nielsen (email available below). General contact details of provider: https://edirc.repec.org/data/okioudk.html .

    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.