econ.studio
Diamond Overlapping Generations Model
Section 2 of 16
Section 2

Historical Context

By the early 1960s growth theorists had two pieces on the board: Solow's exogenous-savings model (1956) and the resurrected Ramsey framework that Cass and Koopmans were independently developing. Both depended on a representative-agent abstraction that some economists found uncomfortable. The world is not populated by immortal households; it is populated by overlapping cohorts of finite-lived agents.

Paul Samuelson had already sketched the alternative in his 1958 *Journal of Political Economy* paper, *An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money*. Samuelson's setting had no production — only an endowment economy with two-period agents — but it established the crucial insight: with overlapping generations and no asset to transfer wealth across cohorts, the autarkic equilibrium can be Pareto-inferior to alternatives sustained by money or social transfers.

Peter Diamond's 1965 *American Economic Review* paper, *National Debt in a Neoclassical Growth Model*, took Samuelson's two-period structure and added capital and production. The result was a complete general-equilibrium growth model with a non-trivial role for government debt. Diamond showed that issuing public debt in a dynamically inefficient economy could raise welfare by crowding out excess capital — an idea that would later become central to the debate over Social Security in the United States.

Timeline

YearAuthorContribution
1958Paul SamuelsonTwo-period consumption-loan model; existence of money as a store of value.
1965Peter DiamondOLG with production and capital; analysis of public debt and dynamic inefficiency.
1965David Cass / Tjalling KoopmansOptimal-growth (RCK) framework — the infinite-horizon counterpart.
1979BewleyOLG with idiosyncratic income risk; foundations for incomplete-markets macro.
1985Olivier BlanchardPerpetual-youth ('Blanchard–Yaari') model — continuous-time variant with stochastic death.
1989Auerbach & KotlikoffLarge-scale computable OLG; Social Security and tax policy quantification.
1990sVariousOLG with human capital, bequests, idiosyncratic risk — modern public-finance workhorse.
Key milestones in the development of OLG theory.