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Self-generated fertility waves in a non-linear continuous overlapping generations model


In this paper, Samuelson's simplified version of the Easterlin theory (Samuelson 1976) is extended to a continuous-time model with three age groups. This approach enables one to apply the qualitative theory of non-linear differential equations to show the existence of Easterlin-type cycles. In contrast to the discrete time model we obtain information about the period length of the cycle.

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This research was supported by the Austrian Science Foundation under grant P6601.

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Feichtinger, G., Sorger, G. Self-generated fertility waves in a non-linear continuous overlapping generations model. J Popul Econ 2, 267–280 (1989).

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  • Differential Equation
  • Generation Model
  • Discrete Time
  • Time Model
  • Period Length