On the Stability of Certain Economic Systems

Burger, Eric

doi:10.2307/1905498

Cited by 19 publications

(11 citation statements)

References 1 publication

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“…Proof of Proposition 6. Since Àe ÀdT Ã0 m 1‚ h Ã0 ð ÞÁT Ã0 < 0 < 1, case (i) of Burger's theorem (Burger, 1956;Gandolfo, 1996, chapter 27, p. 556) applies. From that theorem, the statement is true if À d+m 1‚ h Ã0 ð Þ ½ < Àe ÀdT Ã0 m 1‚ h Ã0 ð Þ, which is obvious.…”

Section: Appendixmentioning

confidence: 99%

The Dynamics of Technological Unemployment*

Postel‐Vinay¹

2002

Int Economic Review

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This article compares the short-and long-run effects of technological progress on employment. It presents a simple model of frictional unemployment capturing the negative creative destruction effects of technological change on employment. In the long run, faster technological change accelerates job obsolescence, which reduces the equilibrium level of employment. But it is also shown to have short-run positive and potentially important effects on employment. This tends to partially reconcile the ''Schumpeterian'' view of the effects of technological change on labor markets with facts such as the response of most OECD unemployment rates to the 1970s productivity slowdown.

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Section: Appendixmentioning

confidence: 99%

The Dynamics of Technological Unemployment*

Postel‐Vinay¹

2002

Int Economic Review

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“…The case of a single delay is well established in the literature (Hayes (1950) and Burger (1956)), however the presence of multiple delays makes analysis much more complicated. Sufficient and necessary conditions were derived for several classes of models giving a complete description of the stability region (Hale (1979), Hale and Huang (1993) and Piotrowska (2007)).…”

Section: The Following Corollary Is the Results [[1] Theorem 22]mentioning

confidence: 99%

An Elementary Study of a Class of Dynamic Systems with Two Time Delays

Matsumoto

Szidarovszky

2012

Cubo

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“…The conditions for the local stability of differential-delay equations such as (5) are derived in Hayes (1950) and reinterpreted by Burger (1956). These conditions are summarized and discussed in Gandolfo (1971, 519-26), May (1980), and Glass and Mackey (1988, 191-93).…”

Section: Local Stability Properties Of the Modelmentioning

confidence: 99%

“…and it is this expression which must be solved for the eigenvalue A. and only if, one of the following hold: Burger (1956) has shown that the real parts of A will be negative if,…”

Section: Local Stability Properties Of the Modelmentioning

confidence: 99%

Complex Dynamics in a Keynesian Growth Model

Jarsulic

1993

Metroeconomica

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This paper develops a non-linear differential-delay model of the Keynesian system. The non-linearities derive from a non-linear relationship between capacity utilization and profitability, interacting with the effect of profitability on rates of investment. Local stability properties are established analytically, and numerical techniques indicate the possibility of chaotic behavior for some configurations of parameters. The results suggest that profitability and growth can interact to produce some of the apparently stochastic components of growth cycles.

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On the Stability of Certain Economic Systems

Cited by 19 publications

References 1 publication

The Dynamics of Technological Unemployment*

The Dynamics of Technological Unemployment*

An Elementary Study of a Class of Dynamic Systems with Two Time Delays

Complex Dynamics in a Keynesian Growth Model

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