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Social Security as Markov Equilibrium in OLG Models

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Author Info
Lorenzo Forni (Banca d'Italia)

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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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Publisher 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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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

References listed on IDEAS
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  1. Grossman, Gene M & Helpman, Elhanan, 1998. "Intergenerational Redistribution with Short-Lived Governments," Economic Journal, Royal Economic Society, vol. 108(450), pages 1299-1329, September. [Downloadable!] (restricted)
    Other versions:
  2. Azariadis, Costas & Galasso, Vincenzo, 2002. "Fiscal Constitutions," Journal of Economic Theory, Elsevier, vol. 103(2), pages 255-281, April. [Downloadable!] (restricted)
  3. Thomas F. Cooley & Jorge Soares, 1999. "A Positive Theory of Social Security Based on Reputation," Journal of Political Economy, University of Chicago Press, vol. 107(1), pages 135-160, February. [Downloadable!] (restricted)
  4. Vincenzo Galasso, 1999. "The US Social Security System: What Does Political Sustainability Imply?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 698-730, July. [Downloadable!] (restricted)
  5. Krusell, Per & Quadrini, Vincenzo & Rios-Rull, Jose-Victor, 1997. "Politico-economic equilibrium and economic growth," Journal of Economic Dynamics and Control, Elsevier, vol. 21(1), pages 243-272, January. [Downloadable!] (restricted)
  6. Michele Boldrin & Aldo Rustichini, 2000. "Political Equilibria with Social Security," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 41-78, January. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Edith Sand & Assaf Razin, 2006. "Immigration and the Survival of Social Security: A Political Economy Model," NBER Working Papers 12800, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  2. Michele Boldrin, 2005. "Public Education and Capital Accumulation," Levine's Bibliography 172782000000000090, UCLA Department of Economics. [Downloadable!]
    Other versions:
  3. Ryo Arawatari & Tetsuo Ono, 2008. "Aging, Inequality and Social Security," Discussion Papers in Economics and Business 08-19, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP). [Downloadable!]
  4. Ryo Arawatari & Tetsuo Ono, 2008. "A Second Chance at Success: A Political Economy Perspective?," Discussion Papers in Economics and Business 08-04, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP).
    Other versions:
  5. J. Ignacio Conde-Ruiz & Vincenzo Galasso & Paola Profeta, 2006. "Early Retirement and Social Security: A Long Term Perspective," CSEF Working Papers 165, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy. [Downloadable!]
    Other versions:
  6. Razin, Assaf & Sand, Edith, 2007. "The Role of Immigration in Sustaining the Social Security System: A Political Economy Approach," CEPR Discussion Papers 6302, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  7. J. Ignacio Conde-Ruiz & Vincenzo Galasso & Paola Profeta, . "The Evolution of Retirement," Working Papers 2005-03, FEDEA. [Downloadable!]
    Other versions:
  8. Assaf Razin & Efraim Sadka & Benjarong Suwankiri, 2009. "Migration and the welfare state: Dynamic Political-Economy Theory," NBER Working Papers 14784, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Edith Sand & Assaf Razin, 2007. "The Political-Economy Positive Role of the Social Security System in Sustaining Immigration (But Not Vice Versa)," NBER Working Papers 13598, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  10. Assaf Razin & Edith Sand, 2009. "Migration-Regime Liberalization and Social Security: Political-Economy Effect," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  11. Martín Gonzalez-Eiras & Dirk Niepelt, 2005. "Sustaining Social Security," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  12. Song, Zheng, 2008. "The Dynamics of Inequality and Social Security in General Equilibrium," MPRA Paper 10365, University Library of Munich, Germany. [Downloadable!]
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