1948
DOI: 10.2307/1909272
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Some Conditions of Macroeconomic Stability

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Cited by 67 publications
(42 citation statements)
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“…It is Assumption (e) in (1951a, p. 148) or Postulate C 1 in (1951b, p. 53). This property is equivalent to the HawkinsSimon conditions for matrix I − A (Gale and Nikaido 1965;Hawkins 1948;Hawkins and Simons 1949). Invertibility is satisfied in particular if the input-output matrix I − A is diagonal dominant.…”
Section: Consumption Goods As Inputsmentioning
confidence: 99%
“…It is Assumption (e) in (1951a, p. 148) or Postulate C 1 in (1951b, p. 53). This property is equivalent to the HawkinsSimon conditions for matrix I − A (Gale and Nikaido 1965;Hawkins 1948;Hawkins and Simons 1949). Invertibility is satisfied in particular if the input-output matrix I − A is diagonal dominant.…”
Section: Consumption Goods As Inputsmentioning
confidence: 99%
“…We use numerical methods to approximate the function u (r t − ρ t ) from conditions (21) and (20). Once the function u (r t − ρ t ) is computed, we use (20) and (3) to find the exchange rate and the interest rate differential, respectively.…”
Section: The Target Zonementioning
confidence: 99%
“…From (45) we know that m c (l) < 1, this is a sufficient condition to verify the Hawkins-Simon condition (see Brauer-Solow Theorem). In turn, verification of the Hawkins-Simon condition implies that η * (M ) < 1, (see Hawkins and Simon [20] and [21]). Then, matrix (I − M )…”
mentioning
confidence: 98%
“…The potential instability of markets was recognized as a problem in the economics literature in the 1930s, where the use of static analysis techniques ("cobweb diagrams") was used to study the stability of markets [1]. Differential equation analysis of the stability of markets is described in [2,3,4,5] and in many other economics references. This paper uses differential/algebraic equations and eigenvalue techniques to study power system markets.…”
Section: Introductionmentioning
confidence: 99%