The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
Table 7 Growth rate of output per worker in new extensive feedback loops within L-1
From: Increasing returns and business cycles in a family of Goodwinian models with Leontiev technology
No. | Order, polarity | Loop and its meaning | In L-2 |
|---|---|---|---|
4 | 1, + | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}\hat{v}\) Reinforcing direct economy of scale (type II) | Same |
5 | 1, + | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}k\hat{/}l\) Reinforcing positive impact of growth rate of capital intensity on growth rate of output per worker | Negative |
6 | 1, − | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}k\hat{/}l\mathop{\longrightarrow}\limits^{{- }}\hat{v}\) Weakening direct economy of scale (type II) | Positive |
7 | 2, − | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}k\hat{/}l\) if \(\dot{u}\) < 0 Weakening positive impact of growth rate of capital intensity on growth rate of output per worker and roundabout fostering of induced technological progress | Positive |
8 | 2, + | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}k\hat{/}l\) if \(\dot{u}\) > 0 Reinforcing positive impact of growth rate of capital intensity on growth rate of output per worker and roundabout barriers to induced technological progress | Negative |
9 | 2, – | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}\hat{v}\) if \(\dot{u}\) < 0 Weakening direct economy of scale (type II) and roundabout fostering of induced technological progress | Same |
10 | 2, + | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}\hat{v}\) if \(\dot{u}\) > 0 Reinforcing direct economy of scale (type II) and roundabout barriers to induced technological progress | Same |
11 | 2, + | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}k\hat{/}l\mathop{\longrightarrow}\limits^{ - }\hat{v}\) if \(\dot{u}\) < 0 Reinforcing direct economy of scale (type II) and roundabout barriers to induced technological progress | Negative |
12 | 2, − | \(\hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}}k\hat{/}l\mathop{\longrightarrow}\limits^{ - }\hat{v}\) if \(\dot{u}\) > 0 Weakening direct economy of scale (type II) and roundabout fostering of induced technological progress | Positive |