By building a growth model with two classes–workers and capitalists–this study investigates the existence and stability of the long-run equilibrium along the lines of Pasinetti (Rev Econ Stud 29:267–279, 1962) and Samuelson and Modigliani (Rev Econ Stud 33:269– 301, 1996), and examines the dynamics of income distribution. 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 (OLG) model, while capitalists solve an infinite-horizon dynamic optimization model. Depending on the combinations of both classes’ time preference rates, parameter of the production function, population growth rate, technological progress rate, and depreciation rate, we obtain two kinds of long-run equilibria: the Pasinetti steady state and the dual steady state as per Samuelson–Modigliani. We show that under realistic values of the parameters, the economy is likely to converge to the Pasinetti steady state. Moreover, by using numerical simulations, we show that a decrease in economic growth rate increases the wealth share of capitalists while decreasing that of workers, and that it increases (decreases) the income share of capitalists while it decreases (increases) that of workers if income share is measured in terms of gross (net) income share.

通过建立由工人和资本家两个阶级组成的增长模型，本研究研究了沿着Pasinetti（Rev Econ Stud 29：267-279，1962）和Samuelson和Modigliani（Rev Econ）的长期均衡的存在和稳定性。 Stud 33：269-301，1996），并考察了收入分配的动态。与先前的研究外生地给出每个类别的储蓄倾向的研究不同，本研究假设工人解决了两个时期的重叠世代（OLG）模型，而资本家则解决了无限水平的动态优化模型。根据这两个类别的时间偏好率，生产函数参数，人口增长率，技术进步率和折旧率的组合，我们获得两种长期均衡：根据Samuelson–Modigliani，Pasinetti稳态和双重稳态。我们表明，在参数的实际值下，经济可能会收敛到Pasinetti稳态。此外，通过使用数值模拟，我们表明，经济增长率的下降会增加资本家的财富份额，同时减少工人的财富份额，并且当（如果）下降时，它会增加（减少）资本家的收入份额，而减少（增加）工人的收入份额。收入份额以总（净）收入份额衡量。