Skip to main content

Borrowing-Proofness of the Lindahl Rule in Kolm Triangle Economies

  • Chapter
  • First Online:
Social Ethics and Normative Economics

Part of the book series: Studies in Choice and Welfare ((WELFARE))

Abstract

Allocation rules can be manipulated in a variety of ways. Agents may misrepresent their preferences, a possibility that has been extensively studied. They can also take advantage of the control they have over resources, and different kinds of stratagems of this type have been identified. For instance, in a classical exchange economy in which resources are allocated by means of the Walrasian rule, an agent may benefit from withholding some of his endowment. He may even benefit from destroying some of it. Also, he may benefit from transferring some of his endowment to someone else (of course without this second agent being hurt, thereby having no reason not to accept the transfer). For a discussion of these phenomena, see Gale (1974), Aumann and Peleg (1974), Postlewaite (1979), and Thomson (1987a,b). Additional manipulation opportunities are discussed in Thomson (2007).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Atlamaz, M., & Klaus, B. (2007). Manipulation via endowments in exchange markets with indivisible goods. Social Choice and Welfare, 28, 1–18

    Article  Google Scholar 

  2. Atlamaz, M., & Thomson, W. (2007). Borrowing-proofness in economies with indivisible goods. Unpublished manuscript, Department of Economics, University of Rochester

    Google Scholar 

  3. Aumann, R., & Peleg, B. (1974). A note on Gale’s example. Journal of Mathematical Economics, 1, 209–211

    Article  Google Scholar 

  4. Ching, S., & Zhou, L. (2002). Multi-valued strategy-proof social choice rules. Social Choice and Welfare, 19, 569–580

    Article  Google Scholar 

  5. Dolbear, F. T. (1967). On the theory of optimal externality. American Economic Review, 57, 90–103

    Google Scholar 

  6. Gale, D. (1974). Exchange equilibrium and coalitions: An example. Journal of Mathematical Economics, 1, 63–66

    Article  Google Scholar 

  7. Kolm, S.-C. (1971). La valeur publique. Paris: C.N.R.S. and Dunod

    Google Scholar 

  8. Lindahl, E. (1919). Die Gerechtichkeit der Besteurung. Gleerup, Lund. (Trans. in part as: Just taxation–A positive solution). In R. A. Musgrave & A. T. Peacock (Eds.), Classics in the theory of public finance (pp. 168–176). London: Macmillan. (1958)

    Google Scholar 

  9. Postlewaite, A. (1979). Manipulation via endowments. Review of Economic Studies, 46, 255–262

    Article  Google Scholar 

  10. Sertel, M. (1994). Manipulating Lindahl equilibrium via endowments. Economics Letters, 46, 167–171.

    Article  Google Scholar 

  11. Sertel, M., & Sanver, R. (1999). Equilibrium outcomes of Lindahl-endowment pretension games. European Journal of Political Economy, 15, 149–162

    Article  Google Scholar 

  12. Thomson, W. (1979). The equilibrium allocations of Walras and Lindahl manipulation games. Discussion Paper No. 111, Center for Economic Research, University of Minnesota

    Google Scholar 

  13. Thomson, W. (1987a). Monotonic allocation rules. Working Paper No. 116, Rochester Center for Economic Research, University of Rochester. Revised 1995

    Google Scholar 

  14. Thomson, W. (1987b). Monotonic allocation rules in economies with public goods. Working Paper No. 117, Rochester Center for Economic Research, University of Rochester. Revised 1995

    Google Scholar 

  15. Thomson, W. (1999). Economies with public goods: An elementary geometric exposition. Journal of Public Economic Theory, 1, 139–176

    Article  Google Scholar 

  16. Thomson, W. (2007). New variable-population paradoxes for resource allocation. Unpublished manuscript, Department of Economics, University of Rochester

    Google Scholar 

  17. Thomson, W. (2008). Borrowing-proofness in economies with public goods. In preparation

    Google Scholar 

  18. Thomson, W. (2009). Borrowing-proofness. Working Paper No. 545, Rochester Center for Economic Research, University of Rochester

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to William Thomson .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Thomson, W. (2011). Borrowing-Proofness of the Lindahl Rule in Kolm Triangle Economies. In: Fleurbaey, M., Salles, M., Weymark, J. (eds) Social Ethics and Normative Economics. Studies in Choice and Welfare. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17807-8_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17807-8_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17806-1

  • Online ISBN: 978-3-642-17807-8

  • eBook Packages: Business and EconomicsEconomics and Finance (R0)

Publish with us

Policies and ethics