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Social Security and Demographic Shocks
Author(s) -
Demange Gabrielle,
Laroque Guy
Publication year - 1999
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.1111/1468-0262.00035
Subject(s) - interim , social security , economics , overlapping generations model , productivity , welfare , pareto principle , pareto optimal , point (geometry) , set (abstract data type) , capital accumulation , microeconomics , capital (architecture) , pareto efficiency , macroeconomics , mathematics , computer science , market economy , profit (economics) , operations management , geometry , archaeology , programming language , history
An overlapping generations model of social security with shocks to the productivity of labor and capital and demographic shocks is studied. We focus attention on stationary long run allocations. An allocation is interim optimal if there does not exist another feasible allocation that improves the expected welfare of all generations, computed conditionally on the state of the world when they are born. We characterize the set of interim optimal allocations and study the equilibria associated with various institutional forms of social security from the point of view of this optimality criterion. We obtain the analogs of the two traditional welfare theorems of microeconomic theory. Assume that there exists a financial asset in fixed quantity, which supports some (non null) intergenerational transfers. Then the rational expectations equilibrium allocation of this economy is interim optimal. Conversely, any stationary interim optimal allocation can be supported by such an equilibrium, with adequate lump sum transfers.