The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
Table 12 Growth rate of output per worker in new extensive feedback loops in L-2
From: Increasing returns and business cycles in a family of Goodwinian models with Leontiev technology
No. | Order, polarity | Loop and its meaning |
|---|---|---|
13 | 2, + | \(\begin{gathered} \hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\frac{1 - u}{s}\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}} \hfill \\ \hat{v}\mathop{\longrightarrow}\limits^{ - }\hat{s}\mathop{\longrightarrow}\limits^{{}}\dot{s}\mathop{\longrightarrow}\limits^{{}}s\mathop{\longrightarrow}\limits^{ - }k\hat{/}l \hfill \\ \end{gathered}\) Reinforcing roundabout economy of scale (types II, I m and II m) and retarding induced technological progress |
14 | 2, + | \(\begin{gathered} \hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u} \to \dot{u}\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}} \hfill \\ \hat{v}\mathop{\longrightarrow}\limits^{ - }\hat{s}\mathop{\longrightarrow}\limits^{{}}\dot{s}\mathop{\longrightarrow}\limits^{{}}s\mathop{\longrightarrow}\limits^{ - }k\hat{/}l \hfill \\ \end{gathered}\) Reinforcing roundabout increasing returns (types II, I m and II m) |
15 | 3, + | \(\begin{gathered} \hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}} \hfill \\ \hat{v}\mathop{\longrightarrow}\limits^{ - }\hat{s}\mathop{\longrightarrow}\limits^{{}}\dot{s}\mathop{\longrightarrow}\limits^{{}}s\mathop{\longrightarrow}\limits^{ - }k\hat{/}l \hfill \\ \end{gathered}\) if \(\dot{u}\) > 0 Reinforcing roundabout increasing returns (types II, I m and II m) and retarding induced technological progress |
16 | 3, − | \(\begin{gathered} \hat{a}\mathop{\longrightarrow}\limits^{ - }\hat{u}\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\hat{k}\mathop{\longrightarrow}\limits^{{}} \hfill \\ \hat{v}\mathop{\longrightarrow}\limits^{ - }\hat{s}\mathop{\longrightarrow}\limits^{{}}\dot{s}\mathop{\longrightarrow}\limits^{{}}s\mathop{\longrightarrow}\limits^{ - }k\hat{/}l \hfill \\ \end{gathered}\) if \(\dot{u}\) < 0 Weakening roundabout increasing returns (types II, I m and II m) and fostering induced technological progress |