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Replying to @drmtgr @UzalCacho
treatment of the question (eg sometimes there is an implicit assumption that a dynamical process is instantaneous, or that some phenomena, like the lack of coordination mentioned by Hahn and Solow can be discarded). It's entirely possible that these assumptions are justified in
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๐Ÿ‘๐ˆ๐‚๐„ ๐‘๐Ž๐’๐“๐„๐‘ ๐’๐๐Ž๐“๐‹๐ˆ๐†๐‡๐“. ๐Ÿ’ก In less than three weeks, the first-ever @3ICEHockey World Cup arrives in Belfast on Saturday 4 and Sunday 5 July. ๐Ÿ† Check out how the 3ICE USA roster, led by head coach Ken Daneyko, is shaping up. โฌ‡๏ธ๐Ÿ”ฅ There may be some familiar faces... ๐Ÿ‘€ Jeremy Brodeur (G) Eddie Matsushima Zachary Solow Hank Crone Will MacKinnon Patrick Grasso Peter Lenes ๐ŸŽŸ๏ธ Have you got your tickets yet? Secure your seat for both days here ๐Ÿ‘‰ bit.ly/3ICE-Tickets #WeAreGiants
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Replying to @Domenic19051997
That was one year ago Domenico need to adjust for depreciation in the Solow model !
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Replying to @PaladinJujopo
oh no my two randoms are solow! what am i gonna do! guess what i dont care
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์ •ํฌ retweeted
๐Ÿ“Œ "AI,์—์ด์ „ํŠธ๋งŒ ์ฅ์–ด์ฃผ๋ฉด ๋‹ค ์ž˜ํ•˜๊ฒ ์ง€"๊ฐ€ ํ‹€๋ฆฐ ์ด์œ  ์ •๋ฆฌ (์†”๋กœ์šฐ ์—ญ์„ค โ†’ ์—์ด์ „ํŠธ ์‹œ๋Œ€ ๋Œ€์ž…๊นŒ์ง€, ์ €์žฅ๊ฐ) [์ •๋ณด โ€” ํ•ต์‹ฌ ๊ฐœ๋…] ์†”๋กœ์šฐ ์—ญ์„ค(Solow paradox, ๋„๊ตฌ ๋„์ž…๊ณผ ์ƒ์‚ฐ์„ฑ ํ–ฅ์ƒ ์‚ฌ์ด์˜ ์‹œ์ฐจ) : "์ปดํ“จํ„ฐ ์‹œ๋Œ€๋Š” ์–ด๋””์„œ๋‚˜ ๋ณด์ด๋Š”๋ฐ ์ƒ์‚ฐ์„ฑ ํ†ต๊ณ„์—” ์•ˆ ๋ณด์ธ๋‹ค"(๋กœ๋ฒ„ํŠธ ์†”๋กœ์šฐ, 1987). ๋ณด์™„ ํˆฌ์ž(complementary investment) : ๋„๊ตฌ๊ฐ’๋ณด๋‹ค ์ผํ•˜๋Š” ๊ตฌ์กฐ,๊ต์œก,ํ”„๋กœ์„ธ์Šค ์žฌ์„ค๊ณ„์— ๋“œ๋Š” ๋ˆ์ด ํ›จ์”ฌ ํฌ๋‹ค. ๊ทธ๊ฑธ ์•ˆ ํ•˜๋ฉด ํšจ๊ณผ๊ฐ€ ์•ˆ ์žกํžŒ๋‹ค. ๋“ค์ญ‰๋‚ ์ญ‰ํ•œ ๊ฒฝ๊ณ„(jagged frontier) : AI๊ฐ€ ์ž˜ํ•˜๋Š” ์ผ๊ณผ ํ—›์†Œ๋ฆฌํ•˜๋Š” ์ผ์˜ ๊ฒฝ๊ณ„๊ฐ€ ๋ˆˆ์— ์•ˆ ๋ณด์ธ๋‹ค(ํ•˜๋ฒ„๋“œ,BCG ์ปจ์„คํ„ดํŠธ 758๋ช… ์‹คํ—˜). [์›์กฐ ์‚ฌ๋ก€ โ€” "๋„๊ตฌ โ‰  ์„ฑ๊ณผ"์˜ ์—ญ์‚ฌ] ์ „๊ธฐ ๋ชจํ„ฐ(๋‹ค์ด๋„ˆ๋ชจ) : 1880๋…„๋Œ€์— ๋ชจํ„ฐ๊ฐ€ ๋‚˜์™”์ง€๋งŒ, ๊ณต์žฅ์€ ํ•œ๊ฐ€์šด๋ฐ ๋™๋ ฅ์ถ•์— ๋ฒจํŠธ,๋„๋ฅด๋ž˜๋ฅผ ๋งค๋‹จ ์˜› ๊ตฌ์กฐ๋ฅผ ๊ทธ๋Œ€๋กœ ๋‘๊ณ  ์ฆ๊ธฐ๊ธฐ๊ด€๋งŒ ๋ชจํ„ฐ๋กœ ๊ฐˆ์•˜๋‹ค. ํšจ๊ณผ๋Š” ๋ฏธ๋ฏธ. ๊ธฐ๊ณ„๋งˆ๋‹ค ๊ฐœ๋ณ„ ๋ชจํ„ฐ๋ฅผ ๋‹ฌ๊ณ  ๋™์„ ์„ ์ƒˆ๋กœ ์ง  1920๋…„๋Œ€์—์•ผ ํญ๋ฐœํ–ˆ๋‹ค โ€” ์•ฝ 40๋…„ ์‹œ์ฐจ (ํด ๋ฐ์ด๋น„๋“œ, 1990). [์†”๋กœ์šฐ ์—ญ์„ค ร— ์—์ด์ „ํŠธ ์‹œ๋Œ€] "์—์ด์ „ํŠธ = ์˜†์ž๋ฆฌ ์ธํ„ด" ๋‹จ๊ณ„์— ๋จธ๋ฌด๋ฆ„ : BCG์— ๋”ฐ๋ฅด๋ฉด ์ง์› 85% ์ด์ƒ์ด ์•„์ง ์ž‘์—… ๋ณด์กฐ,์œ„์ž„ ๋‹จ๊ณ„๊ณ , ์ž์œจ ํ˜‘์—…,์˜ค์ผ€์ŠคํŠธ๋ ˆ์ด์…˜๊นŒ์ง€ ๊ฐ„ ๋น„์œจ์€ 10% ๋ฏธ๋งŒ์ด๋ผ๊ณ  ํ•œ๋‹ค. ๋”ฑ "ํฐ ๋ชจํ„ฐ ํ•œ ๊ฐœ"๋กœ๋งŒ ์“ฐ๋˜ 1900๋…„๋Œ€ ์ดˆ. ๋„์ž…์€ ํ–ˆ๋Š”๋ฐ ์„ฑ๊ณผ๋Š” ์ œ์ž๋ฆฌ : ๋งฅํ‚จ์ง€(2026)๋Š” ๊ธฐ์—… 90% ๊ฐ€๊นŒ์ด๊ฐ€ AI๋ฅผ ๋„์ž…ํ–ˆ์ง€๋งŒ 94%๊ฐ€ "์˜๋ฏธ ์žˆ๋Š”" ๊ฐ€์น˜๋ฅผ ๋ชป ๋ดค๋‹ค๊ณ  โ€” ์†”๋กœ์šฐ ์—ญ์„ค์„ ๋Œ€๋†“๊ณ  ๋‹ค์‹œ ์†Œํ™˜. ๊ฐœ์ธ์€ ๋นจ๋ผ์กŒ๋Š”๋ฐ ํšŒ์‚ฌ๋Š” ๊ทธ๋Œ€๋กœ : ์—”์ง€๋‹ˆ์–ด๊ฐ€ ์ฝ”๋“œ ๋ณ€๊ฒฝ์„ 2๋ฐฐ ์ฒ˜๋ฆฌํ•ด๋„ ํšŒ์‚ฌ ์ง€ํ‘œ๋Š” ํ‰ํ‰ํ•˜๋‹ค๋Š” ๋ณด๊ณ (Faros 2026). ๋ณด์กฐ๋„๊ตฌ๋กœ ๋นจ๋ฆฌ ์“ฐ๋Š” ๊ฒƒ๊ณผ ์กฐ์ง ์„ฑ๊ณผ๋Š” ์ž๋™์œผ๋กœ ํ•ฉ์‚ฐ๋˜์ง€ ์•Š๋Š”๋‹ค. ๋ณ€ํ˜์˜ ์—ญ์„ค(Microsoft 2026) : ์ง์›์€ ์ผํ•˜๋Š” ๋ฐฉ์‹์„ ๋ฐ”๊ฟ€ ์ค€๋น„๊ฐ€ ๋๋Š”๋ฐ, ํšŒ์‚ฌ์˜ ์ง€ํ‘œ,๋ณด์ƒ,๊ด€ํ–‰์€ ์˜› ๋ฐฉ์‹์„ ๋ณด์ƒํ•œ๋‹ค. AI๋กœ ์ผ์„ ์ƒˆ๋กœ ์„ค๊ณ„ํ–ˆ์„ ๋•Œ ๋ณด์ƒ๋ฐ›๋Š”๋‹ค๋Š” ์‚ฌ๋žŒ์€ 13%๋ฟ. ๊ฑฐํ’ˆ ๊ฒฝ๊ณ  : ๊ฐ€ํŠธ๋„ˆ๋Š” ์—์ด์ „ํŠธ ํ”„๋กœ์ ํŠธ์˜ 40% ์ด์ƒ์ด 2027๋…„ ๋ง๊นŒ์ง€ ์ทจ์†Œ๋  ๊ฑฐ๋ผ ๋ณธ๋‹ค๊ณ  ํ•œ๋‹ค (๋‹จ, ์˜ˆ์ธก์ด๋ผ ๋น—๋‚˜๊ฐˆ ์ˆ˜ ์žˆ์Œ). ๐Ÿ’ฌ ์—์ด์ „ํŠธ๋ฅผ ์ฅ์–ด์ค˜๋„ ๋‹ค ์„ฑ๊ณต ๋ชป ํ•˜๋Š” ๊ฑด ๋‹น์—ฐํ•˜๋‹ค. ์™œ๋ƒํ•˜๋ฉด ๋‹ค๋“ค ์—์ด์ „ํŠธ๋ฅผ "์˜› ์›Œํฌํ”Œ๋กœ ์œ„์— ์–น์€ ๋น„์„œ"๋กœ ์“ฐ๋Š”๋ฐ, ๊ทธ๊ฑด ๋ฒจํŠธ,๋„๋ฅด๋ž˜ ๊ทธ๋Œ€๋กœ ๋‘๊ณ  ๋ชจํ„ฐ๋งŒ ๊ฐˆ์•˜๋˜ 1900๋…„๋Œ€ ์ดˆ์™€ ๋˜‘๊ฐ™๊ธฐ ๋•Œ๋ฌธ์ด๋‹ค (๊ทธ๋• 40๋…„ ํ—›๋Œ์•˜๋‹ค). ๊ฒŒ๋‹ค๊ฐ€ ์—์ด์ „ํŠธ๋Š” ์ž์œจ์ ์ผ์ˆ˜๋ก "๋ญ˜ ๋งก๊ธธ์ง€ & ๊ฒฐ๊ณผ๋ฅผ ์–ด๋–ป๊ฒŒ ๊ฒ€์ฆํ• ์ง€"๋ฅผ ์„ค๊ณ„ํ•˜๋Š” ์‚ฌ๋žŒ์˜ ๋ชซ์ด ๋” ์ปค์ง„๋‹ค. ๊ทธ๋ž˜์„œ ๋„๊ตฌ๊ฐ€ ๋˜‘๋˜‘ํ•ด์งˆ์ˆ˜๋ก ๊ฒฉ์ฐจ๋Š” ์ขํ˜€์ง€๋Š” ๊ฒŒ ์•„๋‹ˆ๋ผ, ๊ตฌ์กฐ๋ฅผ ๋‹ค์‹œ ์งค ์ค„ ์•„๋Š” ์‚ฌ๋žŒ ์ชฝ์œผ๋กœ ๋” ๋ฒŒ์–ด์ง„๋‹ค (ํ•ธ๋“ค ์žก๊ณ  ์กธ๋ฉด ๋” ํฌ๊ฒŒ ์‚ฌ๊ณ  ๋‚จ). ํ•ต์‹ฌ ๋ฐ˜์ „ : ์ง„์งœ ๋ณ€์ˆ˜๋Š” "์—์ด์ „ํŠธ๋ฅผ ๋น„์„œ๋กœ ์“ฐ๋А๋ƒ vs ์ผ์˜ ์ฃผ์ฒด๋กœ ๋‘๊ณ  ์›Œํฌํ”Œ๋กœ๋ฅผ ๋‹ค์‹œ ์งœ๋А๋ƒ"๋‹ค. ๋„๊ตฌ๊ฐ€ ์•„๋‹ˆ๋ผ ์žฌ์„ค๊ณ„๊ฐ€ ์Šน๋ถ€์ฒ˜. ๋ฐ˜๋ฉด์— ์ด๋ฒˆ์—” ํ™•์‚ฐ์ด ์›Œ๋‚™ ๋นจ๋ผ์„œ ๊ทธ 40๋…„์ด 4๋…„์œผ๋กœ ์••์ถ•๋  ์ˆ˜๋„ ์žˆ๋‹ค โ€” ๊ทธ๋Ÿผ ์ง€๊ธˆ ํ—ค๋งค๋Š” ๊ฒŒ ์˜๊ตฌ ๋ฌด๋Šฅ์ด ์•„๋‹ˆ๋ผ ๊ทธ๋ƒฅ "์•„์ง"์ผ์ง€๋„. ์–ด์ฉŒ๋ฉด ๋ช‡ ๋…„ ๋’ค์—” ์ด ๊ธ€์ด ๊น€ ๋น ์ง„ ์†Œ๋ฆฌ๋กœ ๋“ค๋ฆด ์ˆ˜๋„ ์žˆ๊ณ . (์ถœ์ฒ˜๋Š” ๋Œ“๊ธ€๋กœ ๋‹ต๋‹ˆ๋‹ค) "๋„์ž… 90% vs ๊ฐ€์น˜ ๋ชป ๋ด„ 94%"์˜ ์ถฉ๊ฒฉ ๊ฒฉ์ฐจ๋ฅผ ์ˆซ์ž๋กœ โ†’ ๋งฅํ‚จ์ง€ 2026 "๋ชจํ„ฐ๋งŒ ๊ฐˆ์•˜๋”๋‹ˆ 40๋…„ ํ—›์ˆ˜๊ณ "๋ผ๋Š” ์ „์„ค์˜ ์›์กฐ ์‚ฌ๋ก€ โ†’ ํด ๋ฐ์ด๋น„๋“œ ๋‹ค์ด๋„ˆ๋ชจ ๋…ผ๋ฌธ ์ง์›์€ ๋ฐ”๊ฟ€ ์ค€๋น„๋๋Š”๋ฐ ํšŒ์‚ฌ๊ฐ€ ์˜› ๋ฐฉ์‹์„ ๋ณด์ƒํ•˜๋”๋ผ โ†’ ๋งˆ์ดํฌ๋กœ์†Œํ”„ํŠธ 2026 #AI์—์ด์ „ํŠธ #์†”๋กœ์šฐ์—ญ์„ค #์ผํ•˜๋Š”๋ฐฉ์‹์žฌ์„ค๊ณ„
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Replying to @qilinrx0
Solow modelใ‚‚ใ“ใ“ใพใงใงใ‚ใ‚Œใฐใ€ใพใ ใƒžใ‚ฏใƒญโ…กใชใ‚‰ๅฆฅๅฝ“ใ‹ใจๆ€ใ‚ใ‚Œใพใ™ใ€‚ใ“ใ“ใซๅŽๆŸ้€Ÿๅบฆใจใ‹ๅ‡่กกใฎๅญ˜ๅœจ่จผๆ˜Žใจใ‹ใพใงๆฅใ‚‹ใจ้™ขใƒžใ‚ฏใƒญใจใฎไธญ้–“ใƒฌใƒ™ใƒซใพใง่กŒใใ‹ใชใจๆ€ใ„ใพใ™ใ€‚Solowใ‚‚ADASใ‚‚ใƒžใƒณใ‚ญใƒฅใƒผใƒžใ‚ฏใƒญใฎ็ฏ„็–‡ใ‚’ๅ‡บใชใ„ใจใ“ใ‚ใŒใ‚ใ‚‹ใฎใงใ€‚
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Replying to @Altymcaltalt3
Workers incomes are not solow. They can possibly do overtime, change job whatever. Pensioners are stuck. When you retire you want to relax for goodness sake after 50 years work! You could die at any moment at that age.
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Algo amplamente analisado por Claus Germer por exemplo. E o resรญduo de Solow nรฃo deixa de ser misterioso na equaรงรฃo pelo que foi exposto, pois necessariamente รฉ uma variรกvel misteriosa e isso รฉ prรณprio da construรงรฃo da equaรงรฃo.
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In economics the strategy of the economics professors -- Paul Samuelson, Joseph Stiglitz, Robert Solow, Thomas Piketty -- has been to lie about the content of the science and ideas of their scientific rivals, and to have their opponents ideas die by murdering them with fraud.
"In science we get our hypotheses to die for us." โ€”Karl Popper, All Life is Problem Solving.
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Jรก resolvi o problema do โ€œcrescimentoโ€ com recursos finitos hรก mais de 2 anos Tรณni, corrigindo a fรณrmula do Solow, nรฃo estรกs bem a ver a tareia que vais levar ๐Ÿคฃ๐ŸŒˆ๐Ÿ”ฅ
Abandon the GDP as a measure of development and practice an economy of cooperation and fair trade, helping the third world countries to develop through open source in exchange for their resources. I call it resource based economy, but the ideia isnโ€™t originally mine.
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Sedan en viktig variabel รคr restposten som Solow menade var det viktiga. Dvs hur vi utnyttjar max dessa variabler, hur smart, effektivt, arbetskraften agerar, hรคr kommer AI och digitaliseringen in. 2
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Tgy_y retweeted
nao aguento o pooh se fazendo que nao tem forรงas pra carregar o pavel sendo q ele jรก pegou o marido em um braรงo sรณ ๐Ÿคช SoloWanderer x PoohPavel #LannaTripwithPoohPavel
J

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Why a Large Debt-Servicing Burden Has Become a Brake on Pakistan's Economic Growth The debate over Pakistan's public debt is often framed in moral or political terms. Yet the most compelling case against an excessive debt burden is not ideologicalโ€”it can be demonstrated in purely logical and economic terms. At its core, economic growth depends on a country's ability to increase the productive capacity of its economy. In standard macroeconomic models, long-term growth is driven by the accumulation of physical capital, improvements in human capital, technological progress, and productivity gains. Government policy influences all four. A large debt-servicing burden directly undermines this process. The starting point is the national income identity: GDP = C I G (X โ€“ M) where C is consumption, I is investment, G is government spending, and X โ€“ M is net exports. Not all government spending contributes equally to growth. Spending on education, health, infrastructure, research, and technology raises future productive capacity. Debt servicing does not. Interest payments merely transfer income from taxpayers to creditors. They do not build roads, educate workers, improve logistics, or increase productivity. As debt servicing consumes a growing share of government revenue, it crowds out productive expenditure. The budget constraint facing a government can be expressed as: Revenue = Debt Service Current Expenditure Development Expenditure Defence Other Spending When debt service expands faster than revenue, something else must shrink. In practice, development spending is usually the first casualty because salaries, pensions, subsidies, and security expenditures are politically difficult to reduce. The result is lower public investment. This matters because investment is one of the most important determinants of long-term growth. In the Solow growth model, output is determined by: Y = A ร— F(K,L) where Y is output, A is productivity, K is capital, and L is labour. Growth occurs when the capital stock expands and productivity improves. Public investment contributes to both. Infrastructure lowers business costs. Education raises worker productivity. Technology investments increase efficiency. Debt servicing contributes to none of these variables. The damage extends beyond public finances. When governments borrow heavily from domestic banks to finance fiscal deficits, they absorb a large share of available savings. This creates the classic "crowding-out" effect. Private firms find less credit available, or face higher borrowing costs. In macroeconomic terms: National Savings = Public Savings Private Savings A large fiscal deficit reduces public savings. Lower national savings mean less funding is available for productive private investment. Lower investment today translates into a smaller capital stock tomorrow, reducing future growth. The arithmetic becomes particularly severe when interest rates exceed economic growth rates. Debt dynamics can be summarized by the equation: ฮ”(Debt/GDP) โ‰ˆ Primary Deficit (r โ€“ g)(Debt/GDP) where: r is the effective interest rate on government debt, g is nominal GDP growth. If the interest rate exceeds the growth rate, debt tends to rise relative to GDP even without large new borrowing. This creates a vicious cycle. Higher debt leads to higher interest payments. Higher interest payments increase borrowing requirements. Additional borrowing raises debt further. More debt generates even larger interest obligations. Eventually, fiscal policy becomes dominated by debt management rather than economic development. The consequences are visible in many heavily indebted economies. As debt service absorbs fiscal space, governments struggle to invest in human capital, infrastructure, innovation, and institutional capacityโ€”the very factors that determine long-run growth. The opportunity cost is enormous. Consider two countries with identical tax revenues. One spends 40 percent of revenue on debt service and 10 percent on development. The other spends 10 percent on debt service and 40 percent on development. Over time, the second country accumulates better infrastructure, a more skilled workforce, stronger institutions, and higher productivity. The growth differential compounds year after year. This is why excessive debt servicing is not merely a fiscal problem. It is a growth problem. A country cannot borrow its way to sustained prosperity if an ever-larger share of its resources is devoted to servicing old obligations rather than creating new productive capacity. The mathematics of growth are unforgiving: economies expand when resources are invested in capital, people, and technology. When those resources are diverted to debt service, future growth is sacrificed to pay for the past. That is the fundamental challenge facing heavily indebted economies. The issue is not debt itself. Debt can finance growth-enhancing investments. The problem arises when debt becomes so large that servicing it crowds out the very investments needed to generate growth. At that point, debt ceases to be a tool of development and becomes an obstacle to it.
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Replying to @Smithdanj
With Solow and Schelling, too.
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Teeze mee any longer and Iโ€™m off, Goner. Freeze mee any borer and Iโ€™m solow, Forrther. I seek hapline guirt freelinetime. I teach ALL and Wonnn LEAD has the time too everyday, everysecond, everymoment, Beee FUN. !! !! T
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