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Two-sided altruism, Lindahl Equilibrium, and Pareto Optimality in Overlapping Generations Models

  • Lakshmi K. Raut

    (The University of Hawaii-Manoa)

The paper extends the Samuelsonian overlapping generations framework to encompass a variety of altruistic preferences, recasting it into a Lindahl equilibrium framework. It has been shown that altruism towards parents provides an alternative answer to the basic question of capital theory as to why interest rates are positive; the Lindahl equilibrium obeys the First and the Second Welfare theorems with respect to the Malinvaud optimality criterion but not the Pareto optimality criterion. A complete characterization of Pareto optimal allocations is provided using Lindahl equilibrium prices. It is shown that a sufficiently strong altruism towards parents can change a Pareto inefficient Samuelsonian economy with negative interest rate to an efficient classical economy with positive interest rate. Based on Sen's meta ranking concept, the paper proposes an ethical principle to supplement the equilibrium theory for guiding agents in their choice of the degree of altruism towards their parents.

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Paper provided by EconWPA in its series GE, Growth, Math methods with number 9604001.

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Length: 17 pages
Date of creation: 04 Apr 1996
Date of revision:
Handle: RePEc:wpa:wuwpge:9604001
Note: Type of Document - Postscript; prepared on IBM PC - PC-TEX; to print on PostScript; pages: 17; figures: included. We never published this piece and now we would like to reduce our mailing and xerox cost by posting it.
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
  2. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  3. Lane, John & Mitra, Tapan, 1981. "On Nash Equilibrium Programs of Capital Accumulation under Altruistic Preferences," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 309-31, June.
  4. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
  5. Wolfgang Leininger, 1986. "The Existence of Perfect Equilibria in a Model of Growth with Altruism between Generations," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 349-367.
  6. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
  7. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-11, Sept.-Oct.
  8. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  9. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
  10. B. Douglas Bernheim & Debraj Ray, 1987. "Economic Growth with Intergenerational Altruism," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 227-243.
  11. Goldman, Steven Marc, 1978. "Gift equilibria and pareto optimality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 368-370, August.
  12. Timothy J. Kehoe & David K. Levine & Andreu Mas-Colell & Michael Woodford, 1991. "Gross Substitutes in Large Square Economics," Levine's Working Paper Archive 2057, David K. Levine.
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