Skip to main content
Log in

On the completeness of complete markets

  • Research Article
  • Published:
Economic Theory Aims and scope Submit manuscript

Abstract

We reconsider the allocational invariance of equilibria to different formulations of market completeness. We identify the so-far neglected assumption of sophisticated behavior as being crucial. First, the Arrow–Debreu setting is considered, where markets do not reopen in the future. Second, sequentially complete markets are analyzed, where goods on the spot markets and all contingent one-period ahead commodities can be traded in every state. Finally, complete markets are analyzed, where all possible contingent commodities can be traded at every state. Preferences may be time-consistent or time-inconsistent. A distinction is made between naïve and sophisticated behavior.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  • Arrow K.J. and Debreu G. (1954). Existence of an equilibrium for a competitive economy. Econometrica 22: 265–290

    Article  Google Scholar 

  • Arrow, K.J.: Le rôle des valeurs boursières pour la répartition la meilleure des risques. In: Econométrie, colloques internationaux du centre national de la recherce scientifique. 40, pp. 41–47 (1953); English version: The role of securities in the optimal allocation of risk-bearing. Rev Econ Stud 31, 91–96 (1964)

    Google Scholar 

  • Bergstrom T.C. (1975). Maximal elements of acyclic relations on compact Sets. J Econ Theory 10: 403–404

    Article  Google Scholar 

  • Chattopadhyay S. and Gottardi P. (1999). Stochastic OLG models, market structure and optimality. J Econ Theory 89: 21–67

    Article  Google Scholar 

  • Debreu G. (1959). Theory of Value. Wiley, New York

    Google Scholar 

  • Donaldson J.B. and Selden L. (1981). Arrow–Debreu preferences and the reopening of contingent claims markets. Econ Lett 8: 209–216

    Article  Google Scholar 

  • Drèze, J.H., Herings, P.J.J.: Sequentially complete markets remain incomplete. METEOR Research Memorandum 03/44, Maastricht University pp. 1–13 (2003)

  • Haller H. (1990). Non-market reopening, time-consistent plans and the structure of intertemporal preferences. Econ Lett 32: 1–5

    Article  Google Scholar 

  • Hellwig M.F. (1983). A note on the implementation of rational expectations equilibria. Econ Lett 11: 1–8

    Article  Google Scholar 

  • Herings P.J.J. and Rohde K.I.M. (2006). Time-inconsistent preferences in a general equilibrium model. Econ Theory 29: 591–619

    Article  Google Scholar 

  • Loewenstein G., O’Donoghue T. and Rabin M. (2003). Projection bias in predicting future utility. Q J Econ 118: 1209–1248

    Article  Google Scholar 

  • Luttmer E.G.J. and Mariotti T. (2003). Subjective discounting in an exchange economy. J Political Econ 111: 1–30

    Article  Google Scholar 

  • Pollak R.A. (1968). Consistent planning. Rev Econ Stud 35: 201–208

    Article  Google Scholar 

  • Radner R. (1972). Existence of equilibrium of plans, prices and price expectations in a sequence of markets. Econometrica 40: 289–303

    Article  Google Scholar 

  • Svensson L.E.O. (1976). Sequences of temporary equilibria, stationary point expectations and Pareto-efficiency. J Econ Theory 13: 169–183

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to P. Jean-Jacques Herings.

Additional information

The author would like to thank the Netherlands Organisation for Scientific Research (NWO) for financial support.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Herings, P.JJ., Rohde, K.I.M. On the completeness of complete markets. Econ Theory 37, 171–201 (2008). https://doi.org/10.1007/s00199-007-0291-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00199-007-0291-y

Keywords

JEL Classification

Navigation