IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1301.3886.html
   My bibliography  Save this paper

Compact Securities Markets for Pareto Optimal Reallocation of Risk

Author

Listed:
  • David M. Pennock
  • Michael P. Wellman

Abstract

The emph{securities market} is the fundamental theoretical framework in economics and finance for resource allocation under uncertainty. Securities serve both to reallocate risk and to disseminate probabilistic information. emph{Complete} securities markets - which contain one security for every possible state of nature - support Pareto optimal allocations of risk. Complete markets suffer from the same exponential dependence on the number of underlying events as do joint probability distributions. We examine whether markets can be structured and "compacted" in the same manner as Bayesian network representations of joint distributions. We show that, if all agents' risk-neutral independencies agree with the independencies encoded in the market structure, then the market is emph{operationally complete}: risk is still Pareto optimally allocated, yet the number of securities can be exponentially smaller. For collections of agents of a certain type, agreement on Markov independencies is sufficient to admit compact and operationally complete markets.

Suggested Citation

  • David M. Pennock & Michael P. Wellman, 2013. "Compact Securities Markets for Pareto Optimal Reallocation of Risk," Papers 1301.3886, arXiv.org.
    • Handle: RePEc:arx:papers:1301.3886
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1301.3886
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nau, Robert F, 1995. "Coherent Decision Analysis with Inseparable Probabilities and Utilities," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 71-91, January.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    3. K. J. Arrow, 1964. "The Role of Securities in the Optimal Allocation of Risk-bearing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 91-96.
    4. Varian, Hal R, 1987. "The Arbitrage Principle in Financial Economics," Journal of Economic Perspectives, American Economic Association, vol. 1(2), pages 55-72, Fall.
    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. David M. Pennock & Michael P. Wellman, 2005. "Graphical Models for Groups: Belief Aggregation and Risk Sharing," Decision Analysis, INFORMS, vol. 2(3), pages 148-164, September.

    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. David M. Pennock & Michael P. Wellman, 2005. "Graphical Models for Groups: Belief Aggregation and Risk Sharing," Decision Analysis, INFORMS, vol. 2(3), pages 148-164, September.
    2. Robert Nau, 2001. "De Finetti was Right: Probability Does Not Exist," Theory and Decision, Springer, vol. 51(2), pages 89-124, December.
    3. Marc H. Vatter, 2019. "OPEC’s Risk Premia and Volatility in Oil Prices," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 25(2), pages 165-175, May.
    4. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, December.
    5. Reus, Lorenzo & Munoz, Francisco D. & Moreno, Rodrigo, 2018. "Retail consumers and risk in centralized energy auctions for indexed long-term contracts in Chile," Energy Policy, Elsevier, vol. 114(C), pages 566-577.
    6. Biais, Bruno & Mariotti, Thomas & Moinas, Sophie & Pouget, Sébastien, 2017. "Asset pricing and risk sharing in a complete market: An experimental investigation," TSE Working Papers 17-798, Toulouse School of Economics (TSE).
    7. Goussebaïle, Arnaud, 2022. "Risk allocation and financial intermediation," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 78-84.
    8. Pratt, Stephen & Blake, Adam & Swann, Peter, 2013. "Dynamic general equilibrium model with uncertainty: Uncertainty regarding the future path of the economy," Economic Modelling, Elsevier, vol. 32(C), pages 429-439.
    9. Robert F. Nau, 2003. "A Generalization of Pratt-Arrow Measure to Nonexpected-Utility Preferences and Inseparable Probability and Utility," Management Science, INFORMS, vol. 49(8), pages 1089-1104, August.
    10. Crocker, Thomas D. & Shogren, Jason F. & Turner, Paul R., 1998. "Incomplete beliefs and nonmarket valuation," Resource and Energy Economics, Elsevier, vol. 20(2), pages 139-162, June.
    11. Kjell Arne Brekke & Rolf Golombek & Michal Kaut & Sverre A.C. Kittelsen & Stein W. Wallace, 2013. "The Impact of Uncertainty on the European Energy Market: A Scenario Aggregation Approach," CESifo Working Paper Series 4500, CESifo.
    12. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    13. Jolian McHardy & Michael Reynolds & Stephen Trotter, 2012. "The Stackelberg Model as a Partial Solution to the Problem of Pricing in a Network," Working Paper series 19_12, Rimini Centre for Economic Analysis.
    14. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    15. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Can Coasean Bargaining Justify Pigouvian Taxation?," Economica, London School of Economics and Political Science, vol. 74(296), pages 573-585, November.
    16. Vadim Borokhov, 2014. "On the properties of nodal price response matrix in electricity markets," Papers 1404.3678, arXiv.org, revised Jan 2015.
    17. Daniel Sutter & Daniel J. Smith, 2017. "Coordination in disaster: Nonprice learning and the allocation of resources after natural disasters," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 30(4), pages 469-492, December.
    18. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    19. Athanasoulis, S. & Shiller, R.J., 1995. "World Income Components: Measuring and Exploting International Risk Sharing Opportunities," Papers 725, Yale - Economic Growth Center.
    20. Mas-Colell, Andreu & Zame, William R., 1996. "The existence of security market equilibrium with a non-atomic state space," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 63-84.

    More about this item

    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:arx:papers:1301.3886. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.