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Sequential Trading with Coarse Contingencies

Author

Listed:
  • Sarah Auster

    (Department of Economics, University of Bonn)

  • Jeremy Kettering

    (Department of Economics, University of Rochester)

  • Asen Kochov

    (Department of Economics, University of Rochester)

Abstract

We consider a dynamic pure exchange economy in which agents have a coarse perception of the future and, in particular, may be unaware of some risks. As awareness of these risks emerges, markets have to re-open to allow the agents to re-optimize and purchase insurance. The paper provides an irrel-evance theorem, showing that if unforeseen shocks are purely idiosyncratic and agents become aware of them before they occur, then unawareness does not affect equilibrium consumption. Unawareness thus matters only if it concerns aggregate shocks. Building on this insight, we highlight several interesting im-plications for economies with unforeseen aggregate shocks: the agents’ failure to spread the cost of insurance efficiently across time, heterogeneous consump-tion growth rates, systematically biased price expectations and the possibility of unexpected default.

Suggested Citation

  • Sarah Auster & Jeremy Kettering & Asen Kochov, 2021. "Sequential Trading with Coarse Contingencies," ECONtribute Discussion Papers Series 052, University of Bonn and University of Cologne, Germany.
  • Handle: RePEc:ajk:ajkdps:052
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    References listed on IDEAS

    as
    1. Roger Guesnerie, 2006. "General Equilibrium, Co-ordination and Multiplicity on Spot Markets," Chapters, in: Richard Arena & Agnès Festré (ed.), Knowledge, Beliefs and Economics, chapter 4, Edward Elgar Publishing.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Edi Karni & Marie-Louise Vier?, 2013. ""Reverse Bayesianism": A Choice-Based Theory of Growing Awareness," American Economic Review, American Economic Association, vol. 103(7), pages 2790-2810, December.
    4. LeRoy,Stephen F. & Werner,Jan, 2014. "Principles of Financial Economics," Cambridge Books, Cambridge University Press, number 9781107024120, November.
    5. Simon Grant & John Quiggin, 2015. "A preference model for choice subject to surprise," Theory and Decision, Springer, vol. 79(2), pages 167-180, September.
    6. Grandmont, Jean-Michel, 1993. "Temporary general equilibrium theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 19, pages 879-922, Elsevier.
    7. Ehud Lehrer, 2012. "Partially Specified Probabilities: Decisions and Games," American Economic Journal: Microeconomics, American Economic Association, vol. 4(1), pages 70-100, February.
    8. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2008. "A canonical model for interactive unawareness," Games and Economic Behavior, Elsevier, vol. 62(1), pages 304-324, January.
    9. Guerdjikova, A. & Quiggin, J., 2020. "Financial market equilibrium with bounded awareness," Working Papers 2020-10, Grenoble Applied Economics Laboratory (GAEL).
    10. repec:dau:papers:123456789/6697 is not listed on IDEAS
    11. Faruk Gul & Wolfgang Pesendorfer & Tomasz Strzalecki, 2017. "Coarse Competitive Equilibrium and Extreme Prices," American Economic Review, American Economic Association, vol. 107(1), pages 109-137, January.
    12. Salvatore Modica & J.-Marc Tallon & Aldo Rustichini, 1998. "Unawareness and bankruptcy: A general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 259-292.
    13. Kochov, Asen, 2018. "A behavioral definition of unforeseen contingencies," Journal of Economic Theory, Elsevier, vol. 175(C), pages 265-290.
    14. Green, Jerry R, 1973. "Temporary General Equilibrium in a Sequential Trading Model with Spot and Futures Transactions," Econometrica, Econometric Society, vol. 41(6), pages 1103-1123, November.
    15. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    16. Eric Maskin & Jean Tirole, 1999. "Unforeseen Contingencies and Incomplete Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 83-114.
    17. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    18. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    19. Fatih Guvenen, 2011. "Macroeconomics with hetereogeneity : a practical guide," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 97(3Q), pages 255-326.
    20. Karni, Edi & Vierø, Marie-Louise, 2017. "Awareness of unawareness: A theory of decision making in the face of ignorance," Journal of Economic Theory, Elsevier, vol. 168(C), pages 301-328.
    21. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    22. , G. & , & ,, 2007. "Coarse contingencies and ambiguity," Theoretical Economics, Econometric Society, vol. 2(4), December.
    23. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 145, University of California, Davis, Department of Economics.
    24. Mandler Michael, 1995. "Sequential Indeterminacy in Production Economies," Journal of Economic Theory, Elsevier, vol. 66(2), pages 406-436, August.
    25. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, December.
    26. Faruk Gul & Wolfgang Pesendorfer, 2014. "Expected Uncertain Utility Theory," Econometrica, Econometric Society, vol. 82(1), pages 1-39, January.
    27. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 153, University of California, Davis, Department of Economics.
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    Cited by:

    1. Madotto, Matteo & Severino, Federico, 2023. "Heterogeneous awareness in financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 216(C), pages 26-41.

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    More about this item

    Keywords

    coarse perceptions; unforeseen risks; sequential trading; default;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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