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Social Security as Markov Equilibrium in OLG Models

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  • Lorenzo Forni

    (Banca d'Italia)

Abstract

This paper studies the characteristics of intergenerational transfers in a standard overlapping generations model with short lived governments that care about the welfare of young generations only. A number of authors have shown that simple intergenerational games, in which in each period the current young generation plays as a dictator, are able to deliver political equilibria with social security even if the underlying competitive equilibrium is not dynamically inefficient. These authors have either derived pure steady state results or have relied on subgame perfectness. This paper extends these results deriving Markov subgame perfect equilibria (i.e. that depend only upon the period $t$ state variable, which is the stock of capital). Non-Markov subgame perfect equilibria assume agents know all the past history of the game; they can not predict when the social security system will emerge and whether or not it will eventually emerge; they prescribe that generations that never deviated may be punished. Markov equlibria, placing more restrictions on the structure of the game, are able to deliver solutions that do not suffer from these drawbacks. As the paper shows, however, Markov strategies may produce unstable dynamics. (Copyright: Elsevier)

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File URL: http://dx.doi.org/10.1016/j.red.2004.10.003
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Bibliographic Info

Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 8 (2005)
Issue (Month): 1 (January)
Pages: 178-194

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Handle: RePEc:red:issued:v:8:y:2005:i:1:p:178-194

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Related research

Keywords: social security; overlapping generations models; Markov equilibria.;

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References

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  1. Michele Boldrin & Aldo Rustichini, 2000. "Political Equilibria with Social Security," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 41-78, January.
  2. Vincenzo Galasso, 1999. "The US Social Security System: What Does Political Sustainability Imply?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 698-730, July.
  3. Azariadis, Costas & Galasso, Vincenzo, 2002. "Fiscal Constitutions," Journal of Economic Theory, Elsevier, Elsevier, vol. 103(2), pages 255-281, April.
  4. Grossman, Gene & Helpman, Elhanan, 1996. "Intergenerational Redistribution with Short-lived Governments," CEPR Discussion Papers, C.E.P.R. Discussion Papers 1396, C.E.P.R. Discussion Papers.
  5. Thomas F. Cooley & Jorge Soares, 1999. "A Positive Theory of Social Security Based on Reputation," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 107(1), pages 135-160, February.
  6. Krusell, Per & Quadrini, Vincenzo & Rios-Rull, Jose-Victor, 1997. "Politico-economic equilibrium and economic growth," Journal of Economic Dynamics and Control, Elsevier, Elsevier, vol. 21(1), pages 243-272, January.
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