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Capital Accumulation and the Rate of Profit in a Two-Class Economy with Optimization Behavior

Hiroaki Sasaki

MPRA Paper from University Library of Munich, Germany

Abstract: By building a growth model with two classes, workers and capitalists, this study investigates the existence and the stability of the long-run equilibrium along the lines of Pasinetti (1962) and Samuelson and Modigliani (1966). Unlike preceding studies in which the propensity to save of each class is exogenously given, this study assumes that workers solve a two-period overlapping generations model while capitalists solve an infinite-horizon dynamic optimization model. Depending on the combinations of both classes' time preference rate, the parameter of the production function, and the population growth rate, we obtain two kinds of long-run equilibria, the Pasinetti equilibrium and dual equilibrium \`a la Samuelson-Modigliani. We show that under realistic values of the parameters, the economy is likely to converge to the Pasinetti equilibrium.

Keywords: workers and capitalists; intertemporal optimization; Pasinetti equilibrium; dual equilibrium (search for similar items in EconPapers)
JEL-codes: E13 E21 E25 (search for similar items in EconPapers)
Date: 2018-08-07
New Economics Papers: this item is included in nep-gro and nep-mac
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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