Pareto Improving Taxation in Incomplete Markets
When asset markets are incomplete there are almost always many Pareto improving policy interventions, provided there are multiple commodities and households. Remarkably, these interventions do not involve adding any new markets. Focusing on tax policy, I create a framework for proving the existence of Pareto improving taxes, for computing them, and for estimating the size of the Pareto improvement. It requires information about how taxes and prices affect aggregate, but not individual, demand. If taxes targeting current incomes are Pareto improving, then they must cause an equilibrium price adjustment, whose role is to redistribute wealth across states, creating insurance beyond the assets'. Conversely, I prove that if the price adjustment is sufficiently sensitive to risk aversions, then for almost all risk aversions and endowments, Pareto improving taxes exist. I show how to verify this sensitivity test with standard demand theory, which Turner (2003a) extends from complete to incomplete markets. I show that different policies generically admit Pareto improving taxes, by showing they all pass this same sensitivity test. These include (a) tax rates on purchases of assets, (b) lump-sum taxes on present income plus one flat tax rate on purchases of assets, (c) asset measurable tax rates on capital gains, (d) tax rates on net purchases of present commodities. I give a formula for the welfare impact of taxes, numerically identifying the Pareto improving taxes. The formula requires information about individual marginal utilities and net trades, and about the derivative of aggregate, not individual, demand with respect to prices and taxes. I estimate the rate of Pareto improvement by defining an agent's equilibrium insurance deficit. This deficit vanishes exactly when her commodity demand is as though markets were complete. The rate is quadratic in the insurance deficits, and affine in the level of trade and in the proximity to price crashes
(This abstract was borrowed from another version of this item.)
|Date of creation:||2006|
|Date of revision:|
|Contact details of provider:|| Postal: Department of Economics, Brown University, Providence, RI 02912|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- David Cass & Alessandro Citanna, 1998.
"Pareto improving financial innovation in incomplete markets,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 467-494.
- David Cass & Alessandro Citanna, 1998. "Pareto Improving Financial Innovation in Incomplete Markets," Post-Print hal-00479286, HAL.
- Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
- CITANNA, Alessandro & POLEMARCHAKIS, Heracles M. & TIRELLI, M., 2000.
"The Taxation of Trades in assets,"
Les Cahiers de Recherche
721, HEC Paris.
- CITANNA, Alessandro & POLEMARCHAKIS, Herakles M. & TIRELLI, Mario, 2001. "The taxation of trades in assets," CORE Discussion Papers 2001017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Alessandro Citanna & Heracles M. Polemarchakis & M. Tirelli, 2006. "The taxation of trades in assets," Post-Print halshs-00009847, HAL.
- Herakles Polemarchakis, 2001. "The taxation of trades in assests," Working Papers 2001-21, Brown University, Department of Economics.
- Michael Mandler, 2004. "Policy effectiveness," Econometric Society 2004 North American Summer Meetings 480, Econometric Society.
- Alberto Bisin & John Geanakoplos & Piero Gottardi & Enrico Minelli & Herakles Polemarchakis, 2010.
"Markets and contracts,"
Economics Working Papers
ECO2010/29, European University Institute.
- Elul Ronel, 1995. "Welfare Effects of Financial Innovation in Incomplete Markets Economies with Several Consumption Goods," Journal of Economic Theory, Elsevier, vol. 65(1), pages 43-78, February.
- Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
- John Geanakoplos & Heracles M. Polemarchakis, 1982.
"On the Disaggregation of Excess Demand Functions,"
Cowles Foundation Discussion Papers
642, Cowles Foundation for Research in Economics, Yale University.
- Alessandro Citanna & Atsushi Kajii & Antonio Villanacci, 1998.
"Constrained suboptimality in incomplete markets: a general approach and two applications,"
- Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
- DEBREU, Gérard, .
CORE Discussion Papers RP
132, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- R. G. Lipsey & Kelvin Lancaster, 1956. "The General Theory of Second Best," Review of Economic Studies, Oxford University Press, vol. 24(1), pages 11-32.
- Joseph E. Stiglitz, 1982. "The Inefficiency of the Stock Market Equilibrium," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 241-261.
- Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-32, July.
When requesting a correction, please mention this item's handle: RePEc:bro:econwp:2006-03. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Brown Economics Webmaster)
If references are entirely missing, you can add them using this form.