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Borrowing-proofness of the Lindahl rule in Kolm triangle economies

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Abstract

In the context of a simple model of public good provision, we study the requirement on an allocation rule that it be immune to manipulation by augmenting one's endowment through borrowing from the outside world. We call it open-economy borrowing-proofness (Thomson, 2009). We ask whether the Lindahl rule satisfies the property. The answer is yes on both the domain of quasi-linear economies and on the domain of homothetic economies. However, on the classical domain (when preferences are only required to be continuous, monotone, and convex), the answer is negative. We compare the manipulability of the rule through borrowing and its manipulability through withholding. We also asks whether the rule is immune to manipulation by borrowing from a fellow trader, closed-economy borrowing-proofness. We obtain a parallel set of answers. The negative results hold no matter how small the amount borrowed is constrained to be.

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File URL: http://rcer.econ.rochester.edu/RCERPAPERS/rcer_555.pdf
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Bibliographic Info

Paper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 555.

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Length: 28 pages
Date of creation: Jul 2010
Date of revision:
Handle: RePEc:roc:rocher:555

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Postal: University of Rochester, Center for Economic Research, Department of Economics, Harkness 231 Rochester, New York 14627 U.S.A.

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Keywords: Public good; Lindahl rule; Kolm triangle; borrowing-proofness; withholding-proofness.;

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