The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
From: Increasing returns and business cycles in a family of Goodwinian models with Leontiev technology
Loop | ||
---|---|---|
First order | Second order | Third order |
Number 1—positive \(s\mathop{\longrightarrow}\limits^{{}}\dot{s}\) | Number 2—positive \(s\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{s}\) | Number 4—positive \(s\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{s}\) |
– | Number 3—positive \(s\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{s}\) | Number 5—positive \(s\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{s}\) |
– | – | Number 6—negative \(s\mathop{\longrightarrow}\limits^{ - }\dot{v}\mathop{\longrightarrow}\limits^{{}}v\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{s}\) |
– | – | Number 7—negative \(s\mathop{\longrightarrow}\limits^{ - }\dot{v}\mathop{\longrightarrow}\limits^{{}}v\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{s}\) |
Fourth order | ||
Number 8—negative \(s\mathop{\longrightarrow}\limits^{ - }\dot{v}\mathop{\longrightarrow}\limits^{{}}v\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{s}\) | ||
Number 9—negative \(s\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{v}\mathop{\longrightarrow}\limits^{{}}v\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{s}\) | ||
Number 10—negative \(s\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{{}}\dot{v}\mathop{\longrightarrow}\limits^{{}}v\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{{}}\dot{s}\) | ||
Number 11—negative \(s\mathop{\longrightarrow}\limits^{ - }\dot{v}\mathop{\longrightarrow}\limits^{{}}v\mathop{\longrightarrow}\limits^{{}}\dot{u}\mathop{\longrightarrow}\limits^{{}}u\mathop{\longrightarrow}\limits^{ - }\dot{z}\mathop{\longrightarrow}\limits^{{}}z\mathop{\longrightarrow}\limits^{ - }\dot{s}\) |