en>Yobot: WP:CHECKWIKI error fixes using AWB (10093)

2014-05-05T11:57:59Z

WP:CHECKWIKI error fixes using AWB (10093)

en>SporkBot: Replace template per TFD outcome; no change in content

2013-09-03T01:52:55Z

Replace template per TFD outcome; no change in content

← Older revision		Revision as of 03:52, 3 September 2013
Line 1:		Line 1:
	~~The individual who wrote~~ the ~~post is known as Jayson Hirano~~ and ~~he totally digs that title~~. ~~For~~ a ~~whilst I've been in Alaska but I~~ will ~~have~~ to ~~move in~~ a ~~yr or two~~. ~~One of~~ [~~http~~://~~www~~.~~sirudang~~.~~com~~/~~siroo_Notice~~/~~2110 good psychic~~] the ~~very best things in~~ the ~~globe for him is doing ballet and he~~'~~ll be starting some thing else along with it. Office supervising is exactly where her main earnings arrives from~~.<br><br>~~my web-site - tarot card~~ [~~http:~~//~~bigpolis.com~~/~~blogs~~/~~post~~/~~6503 online psychic readings~~] ([~~http:~~//si.~~dgmensa~~.~~org/xe/index.php?document_srl=48014&mid=c0102 recommended site~~])		{{multiple issues\|
			{{Unreferenced\|date=December 2006}}
			{{Expert-subject\|Economics\|date=November 2008}}
			}}

			In two-sector [[macroeconomics\|macroeconomic]] models, a '''Harrod–Johnson diagram''' is a way of visualizing the relationship between the output price ratios, the input price ratios, and the endowment ratio of the two goods. Often the goods are a consumption and investment good, and this diagram shows what will happen to the price ratio if the endowment changes. The diagram juxtaposes a graph which has input price ratios as its horizontal axis, endowment ratios as its positive vertical axis, and output price ratios as its negative vertical axis. This may seem unintuitive, but by doing this, it is easier to see the relationship between the output price ratios and the endowment. The diagram is named after economists, [[Roy F. Harrod]] and [[Harry G. Johnson]].

			==Derivation==
			[[Image:Harrod-Johnson diagram.png\|frame\|right\|Harrod–Johnson diagram with linear relationship between <math>k_i</math> and <math>\omega</math> and increasing relationship between ''p'' and <math>\omega</math>. Here increasing the endowment causes the price ratios to increase.]]
			If we let our good 1 be an investment good, governed by the equation
			<math>Y_1=F_1(K,L)\,</math>

			and good 2 be a consumption good:
			<math>Y_s=F_s(K,L)\,</math>

			To calculate rental and wage rates, we optimize a representative firm's profit function, giving
			<math>p_1 D_K[F_1(K,L)]=r=p_2 D_K[F_2(K,L)]\,</math> for the rental rate of capital, ''r'', and
			<math>p_1 D_L[F_1(K,L)]=w=p_2 D_L[F_2(K,L)]\,</math> for the wage rate of labor, ''w''.

			so the input price ratio, <math>\omega</math> is
			<math>\omega=w/r=\frac{p_i D_L[F_i(K,L)],p_i D_K[F_i(K,L)]}\,</math> for <math>i=\{1,2\}</math>
			Normalizing this equation by letting <math>k_i = K_i/L_i</math>, and solving for <math>k_i</math> gives us the formulas to be graphed in the first quadrant.

			On the other hand, normalizing the equation
			<math>p_1 D_K[F_1(K,L)]=p_2 D_K[F_2(K,L)]\,</math> (or <math>p_1 D_L[F_1(K,L)]=p_2 D_L[F_2(K,L)]\,</math>, which is presumably equivalent),
			and solving for the price ratio, <math>p_1/P_2</math> gives the formula which is to be graphed in the fourth quadrant.

			With these three functions graphed together, we can see our relationship.

			{{DEFAULTSORT:Harrod-Johnson Diagram}}
			[[Category:Macroeconomics]]

194.167.99.211: English corrections

2012-06-01T07:54:28Z

English corrections

New page

The individual who wrote the post is known as Jayson Hirano and he totally digs that title. For a whilst I've been in Alaska but I will have to move in a yr or two. One of [http://www.sirudang.com/siroo_Notice/2110 good psychic] the very best things in the globe for him is doing ballet and he'll be starting some thing else along with it. Office supervising is exactly where her main earnings arrives from.<br><br>my web-site - tarot card [http://bigpolis.com/blogs/post/6503 online psychic readings] ([http://si.dgmensa.org/xe/index.php?document_srl=48014&mid=c0102 recommended site])

COSMO Solvation Model - Revision history

en>Yobot: WP:CHECKWIKI error fixes using AWB (10093)

en>SporkBot: Replace template per TFD outcome; no change in content

194.167.99.211: English corrections