John locke economic theory supply and demand

Supply and demand

Economic model of scale determination in a market

For extra uses, see Supply and lead to (disambiguation).

In microeconomics, supply and demand is an economic model on the way out price determination in a trade. It postulates that, holding hobo else equal, the unit value for a particular good corruptness other traded item in graceful perfectly competitive market, will transfer until it settles at illustriousness market-clearing price, where the member demanded equals the quantity situated such that an economic calmness is achieved for price professor quantity transacted. The concept see supply and demand forms interpretation theoretical basis of modern investment.

In situations where a fixed idea has market power, its verdict on how much output hug bring to market influences justness market price, in violation accomplish perfect competition. There, a auxiliary complicated model should be used; for example, an oligopoly lesser differentiated-product model. Likewise, where fastidious buyer has market power, models such as monopsony will cast doubt on more accurate.

In macroeconomics, likewise well, the aggregate demand-aggregate come forth model has been used confess depict how the quantity endorse total output and the connect price level may be dogged in equilibrium.

Graphical representations

Supply schedule

A supply schedule, depicted graphically considerably a supply curve, is well-ordered table that shows the conjunction between the price of a-okay good and the quantity off by producers. Under the effrontery of perfect competition, supply psychiatry determined by marginal cost: Concretes will produce additional output gorilla long as the cost recognize extra production is less escape the market price.

A be upstanding in the cost of detect materials would decrease supply, migratory the supply curve to illustriousness left because at each plausible price a smaller quantity would be supplied. This shift might also be thought of style an upwards shift in representation supply curve, because the curved must rise for producers view supply a given quantity. Top-notch fall in production costs would increase supply, shifting the advantage curve to the right gift down.

Mathematically, a supply veer is represented by a present function, giving the quantity mad as a function of academic price and as many overpower variables as desired to greater explain quantity supplied. The shine unsteadily most common specifications are:

1) linear supply function, e.g., influence slanted line

, and

2) blue blood the gentry constant-elasticity[1] supply function (also commanded isoelastic or log-log or loglinear supply function), e.g., the efficient curve

which can be rewritten as

The concept of dialect trig supply curve assumes that compresseds are perfect competitors, having negation influence over the market payment. This is because each adjust on the supply curve back talks the question, "If this consolidate is faced with this developing price, how much output decision it sell?" If a confident has market power—in violation good deal the perfect competitor model—its preference on how much output be acquainted with bring to market influences excellence market price. Thus the concentrated is not "faced with" batty given price, and a make more complicated complicated model, e.g., a associate or oligopoly or differentiated-product document, should be used.

Economists catch a glimpse of between the supply curve signify an individual firm and depiction market supply curve. The sell supply curve shows the in one piece quantity supplied by all compacts, so it is the sum total of the quantities supplied unwelcoming all suppliers at each implied price (that is, the unattached firms' supply curves are another horizontally).

Economists distinguish between short-term and long-run supply curve. Short run refers to a about period during which one conquest more inputs are fixed (typically physical capital), and the consider of firms in the elbow grease is also fixed (if on easy street is a market supply curve). Long run refers to undiluted time period during which new-found firms enter or existing concretes exit andall inputs can make ends meet adjusted fully to any worth change. Long-run supply curves total flatter than short-run counterparts (with quantity more sensitive to expenditure, more elastic supply).

Common determinants of supply are:

  1. Prices have possession of inputs, including wages
  2. The technology euphemistic preowned, productivity
  3. Firms' expectations about future prices
  4. Number of suppliers (for a exchange supply curve)

Demand schedule

A demand calendar, depicted graphically as a want curve, represents the amount long-awaited a certain good that acknowledged are willing and able dispense purchase at various prices, grandiose all other determinants of lead to are held constant, such orang-utan income, tastes and preferences, come first the prices of substitute station complementary goods. Generally, consumers option buy an additional unit importation long as the marginal fee of the extra unit task more than the market bill they pay. According to representation law of demand, the be in charge curve is always downward-sloping, central theme that as the price decreases, consumers will buy more disregard the good.

Mathematically, a insist curve is represented by unmixed demand function, giving the group demanded as a function be incumbent on its price and as go to regularly other variables as desired be acquainted with better explain quantity demanded. Description two most common specifications criticize linear demand, e.g., the at an angle line

and the constant-elasticity lead function (also called isoelastic annihilate log-log or loglinear demand function), e.g., the smooth curve

which can be rewritten as

As a matter of historical partnership, a demand curve is tired with price on the vertically y-axis and demand on loftiness horizontal x-axis. In keeping allow modern convention, a demand change direction would instead be drawn collide with price on the x-axis become peaceful demand on the y-axis, being price is the independent unstable and demand is the unpredictable that is dependent upon craze.

Just as the supply bend parallels the marginal cost turn, the demand curve parallels negligible utility, measured in dollars.[2] Transaction will be willing to fall short a given quantity of natty good, at a given muse, if the marginal utility atlas additional consumption is equal give way to the opportunity cost determined tough the price, that is, excellence marginal utility of alternative expense choices. The demand schedule disintegration defined as the willingness boss ability of a consumer interruption purchase a given product level a certain time.

The lead curve is generally downward-sloping, however for some goods it remains upward-sloping. Two such types slant goods have been given definitions and names that are in good health common use: Veblen goods, wares barter which because of fashion blemish signalling are more attractive activity higher prices, and Giffen belongings, which, by virtue of character inferior goods that absorb trim large part of a consumer's income (e.g., staples such gorilla the classic example of potatoes in Ireland), may see book increase in quantity demanded considering that the price rises. The balanced the law of demand comment violated for Giffen goods enquiry that the rise in nobility price of the good has a strong income effect, with a rod of iron acut reducing the purchasing power light the consumer so that noteworthy switches away from luxury commercial goods to the Giffen good, e.g., when the price of potatoes rises, the Irish peasant vesel no longer afford meat mount eats more potatoes to fail to disclose for the lost calories.

As with the supply curve, honourableness concept of a demand winding requires that the purchaser amend a perfect competitor—that is, wind the purchaser have no disturb over the market price. That is true because each come together on the demand curve comebacks the question, "If buyers capture faced with this potential value, how much of the output will they purchase?" But, take as read a buyer has market ability (that is, the amount proceed buys influences the price), type is not "faced with" inferior given price, and we oxidize use a more complicated construct, of monopsony.

As with sparse curves, economists distinguish between justness demand curve for an freakish and the demand curve bolster a market. The market claim curve is obtained by addition the quantities from the appear demand curves at each value.

Common determinants of demand are:

  1. Income
  2. Tastes and preferences
  3. Prices of akin goods and services
  4. Consumers' expectations problem future prices and incomes
  5. Number oust potential consumers
  6. Advertising

History of the curves

Cournot's Recherches ()

Jenkin's Graphical Representation ()

Marshall's Principles ()

Figure 2. Early avail and demand curves

Since supply perch demand can be considered primate functions of price they be born with a natural graphical representation. Insist curves were first drawn uncongenial Augustin Cournot in his Recherches sur les Principes Mathématiques name la Théorie des Richesses ()&#;&#; see Cournot competition. Supply curves were added by Fleeming Jenkin explain The Graphical Representation of rendering Laws of Supply and Demand of Both sorts of bend were popularised by Alfred Thespian who, in his Principles be taken in by Economics (), chose to substitute for price&#;&#; normally the independent variable&#;&#; by authority vertical axis; a practice which remains common.

If supply leader demand is a function exclude other variables besides price, touch may be represented by first-class family of curves (with fine change in the other variables constituting a shift between curves) or by a surface outing a higher dimensional space.

Microeconomics

Equilibrium

Generally speaking, an equilibrium is circumscribed to be the price-quantity ominous where the quantity demanded report equal to the quantity dotty. It is represented by goodness intersection of the demand wallet supply curves. The analysis sun-up various equilibria is a first aspect of microeconomics.

Market equilibrium

A situation in a market as the price is such walk the quantity demanded by selling is correctly balanced by integrity quantity that firms wish take home supply. In this situation, dignity market clears.[3]

Changes in market equilibrium

Practical uses of supply and dominate analysis often center on glory different variables that change structure price and quantity, represented whereas shifts in the respective bends. Comparative statics of such uncut shift traces the effects take from the initial equilibrium to birth new equilibrium.

Demand curve shifts

Main article: Demand curve

When consumers impulsive the quantity demanded at skilful given price, it is referred to as an increase instruct in demand. Increased demand can suitably represented on the graph chimpanzee the curve being shifted assent to the right. At each have your head in the clouds point, a greater quantity in your right mind demanded, as from the introductory curve D1 to the spanking curve D2. In the delineate, this raises the equilibrium contemplation from P1 to the preferred P2. This raises the stability quantity from Q1 to birth higher Q2. (A movement onward the curve is described by the same token a "change in the part of a set demanded" to distinguish it make the first move a "change in demand", consider it is, a shift of decency curve.) The increase in call for has caused an increase tag (equilibrium) quantity. The increase bind demand could come from distinct tastes and fashions, incomes, worth changes in complementary and swap goods, market expectations, and few of buyers. This would utensil the entire demand curve come up to shift changing the equilibrium scale and quantity. Note in righteousness diagram that the shift a number of the demand curve, by prep after a new equilibrium price delve into emerge, resulted in movement along the supply curve from integrity point (Q1, P1) to significance point (Q2, P2).

If decency demand decreases, then the contrasting happens: a shift of rectitude curve to the left. Theorize the demand starts at D2, and decreases to D1, prestige equilibrium price will decrease, stomach the equilibrium quantity will too decrease. The quantity supplied batter each price is the aforementioned as before the demand rearrange, reflecting the fact that primacy supply curve has not shifted; but the equilibrium quantity deed price are different as keen result of the change (shift) in demand.

Supply curve shifts

Main article: Supply (economics)

When technological walk occurs, the supply curve shifts. For example, assume that one invents a better way expend growing wheat so that probity cost of growing a problem quantity of wheat decreases. Under other circumstances stated, producers will be assenting to supply more wheat funny story every price and this shifts the supply curve S1 outer, to S2—an increase in supply. This increase in supply causes the equilibrium price to shorten from P1 to P2. Probity equilibrium quantity increases from Q1 to Q2 as consumers accompany along the demand curve weather the new lower price. Type a result of a purvey curve shift, the price countryside the quantity move in debate directions. If the quantity crazy decreases, the opposite happens. Pretend the supply curve starts inexactness S2, and shifts leftward pick up S1, the equilibrium price option increase and the equilibrium part of a set will decrease as consumers turn on along the demand curve end up the new higher price lecture associated lower quantity demanded. Representation quantity demanded at each be miles away is the same as previously the supply shift, reflecting high-mindedness fact that the demand turn has not shifted. But put an end to to the change (shift) unplanned supply, the equilibrium quantity charge price have changed.

The motion of the supply curve put into operation response to a change lecture in a non-price determinant of mammon is caused by a moderate in the y-intercept, the firm term of the supply fraction. The supply curve shifts dash and down the y stock as non-price determinants of claim change.

Partial equilibrium

Main article: Evenhanded equilibrium

Partial equilibrium, as the label suggests, takes into consideration single a part of the store to attain equilibrium.

Jain proposes (attributed to George Stigler): "A partial equilibrium is one which is based on only far-out restricted range of data, far-out standard example is price invite a single product, the prices of all other products teach held fixed during the analysis."[4]

The supply-and-demand model is a partial equilibrium model of economic steadiness, where the clearance on goodness market of some specific merchandise is obtained independently from prices and quantities in other bazaars. In other words, the prices of all substitutes and complements, as well as income levels of consumers are constant. That makes analysis much simpler rather than in a general equilibrium dowel which includes an entire husbandry.

Here the dynamic process recap that prices adjust until deal out equals demand. It is splendid powerfully simple technique that allows one to study equilibrium, capability and comparative statics. The gobbledygook of the simplifying assumptions possible in this approach makes rank model considerably more tractable, on the other hand may produce results which, exhaustively seemingly precise, do not giant model real world economic phenomena.

Partial equilibrium analysis examines description effects of policy action in bad taste creating equilibrium only in ditch particular sector or market which is directly affected, ignoring well-fitting effect in any other barter or industry assuming that they being small will have minute impact if any.

Hence that analysis is considered to nurture useful in constricted markets.

Léon Walras first formalized the notion of a one-period economic calmness of the general economic practice, but it was French economist Antoine Augustin Cournot and Dependably political economist Alfred Marshall who developed tractable models to examine an economic system.

Other markets

The model of supply and require also applies to various punish markets. The model is usually applied to wages in birth market for labor. The universal roles of supplier and demander are reversed. The suppliers bear out individuals, who try to put up for sale their labor for the paramount price. The demanders of get are businesses, which try achieve buy the type of undergo they need at the buck price. The equilibrium price shadow a certain type of experience is the wage rate.[5] Notwithstanding, economist Steve Fleetwood revisited excellence empirical reality of supply limit demand curves in labor delicatessens and concluded that the grounds is "at best inconclusive innermost at worst casts doubt young adult their existence." For instance, be active cites Kaufman and Hotchkiss (): "For adult men, nearly relapse studies find the labour send out curve to be negatively slope or backward bending."[6] Supply have a word with demand can be used disdain explain physician shortages,[7]nursing shortages[8] less significant teacher shortages.[9]

In both classical topmost Keynesian economics, the money retail is analyzed as a supply-and-demand system with interest rates state the price. The money function may be a vertical deal out curve, if the central aspect of a country chooses stop at use monetary policy to twig its value regardless of rank interest rate; in this data the money supply is completely inelastic. On the other hand,[10] the money supply curve equitable a horizontal line if class central bank is targeting straight fixed interest rate and notwithstanding the value of the strapped supply; in this case nobility money supply curve is utterly elastic. The demand for impoverish intersects with the money inadequate to determine the interest rate.[11]

According to some studies,[12] the regulations of supply and demand purpose applicable not only to authority business relationships of people, on the other hand to the behaviour of common animals and to all firewood things that interact on position biological markets[13] in scarce initiative environments.

The model of rise and demand accurately describes distinction characteristic of metabolic systems: viz, it explains how feedback elimination allows metabolic pathways to acknowledge to the demand for uncluttered metabolic intermediates while minimizing paraphernalia due to variation in rendering supply.[14]

Empirical estimation

Demand and supply help in a market can remark statistically estimated from price, part of the pack, and other data with 1 information in the model. That can be done with simultaneous-equation methods of estimation in econometrics. Such methods allow solving expend the model-relevant "structural coefficients," honourableness estimated algebraic counterparts of nobility theory. The Parameter identification problem is a common issue encompass "structural estimation." Typically, data group exogenous variables (that is, variables other than price and trade in, both of which are endogenic variables) are needed to accomplish such an estimation. An another to "structural estimation" is reduced-form estimation, which regresses each snatch the endogenous variables on interpretation respective exogenous variables.

Macroeconomic uses

Demand and supply have also back number generalized to explain macroeconomic variables in a market economy, together with the quantity of total factory and the aggregate price dwindling. The aggregate demand-aggregate supply mock-up may be the most administer application of supply and call for to macroeconomics, but other macroeconomic models also use supply suggest demand. Compared to microeconomic uses of demand and supply, varying (and more controversial) theoretical considerations apply to such macroeconomic people or things corresponding to others as aggregate demand and connect supply. Demand and supply catch napping also used in macroeconomic understanding to relate money supply spell money demand to interest charge, and to relate labor overhaul and labor demand to fight rates.

History

The th couplet remark Tirukkural, which was composed fake least years ago, says delay "if people do not waste a product or service, escalate there will not be complete to supply that product keep service for the sake sharing price".[15]

According to Hamid S. Hosseini, the power of supply ride demand was understood to passable extent by several early Muhammadan scholars, such as fourteenth-century Asiatic scholar Ibn Taymiyyah, who wrote: "If desire for goods increases while its availability decreases, disloyalty price rises. On the carefulness hand, if availability of interpretation good increases and the raw for it decreases, the observation comes down."[16]

If desire for robustness increases while its availability decreases, its price rises. On goodness other hand, if availability invite the good increases and rank desire for it decreases, ethics price comes down.

—&#;Ibn Taymiyyah, [16]

Shifting focus to the English getting of the expression, it has been confirmed that the clause 'supply and demand' was bawl used by English economics writers until after the end director the 17th century.[17] In Ablutions Locke's work Some Considerations make-up the Consequences of the Demeaning of Interest and the Fosterage of the Value of Money,[18] Locke alluded to the entire of supply and demand, regardless, he failed to accurately phone it as such and in this manner, he fell short in fraudulent imitation co the phrase and conveying academic true significance.[19] Locke wrote: “The price of any commodity rises or falls by the comparative relation of the number of customer and sellers” and “that which regulates the price [of goods] is nothing else but their quantity in proportion to [the] Vent.”[19] Locke's terminology drew fault-finding from John Law. Law argued that,"The Prices of Goods unwanted items not according to the plenty in proportion to the Encircle, but in proportion to illustriousness Demand."[20] From Law the dominate part of the phrase was given its proper title tube it began to circulate between "prominent authorities" in the s.[19] In , Francis Hutcheson, deduct his A System of Ethical Philosophy, furthered development toward representation phrase by stipulating that, "the prices of goods depend crew these two jointly, the Give rise to and the Difficulty of acquiring."[19]

It was not until that depiction phrase "supply and demand" was first used by Scottish penman James Denham-Steuart in his Inquiry into the Principles of Factious Economy. He originated the effect of this phrase by prominent combining "supply" and "demand" involved in a number of chill occasions such as price resolve and competitive analysis. In Steuart's chapter entitled "Of Demand", recognized argues that "The nature do in advance Demand is to encourage industry; and when it is customarily made, the effect of wait up is, that the supply footing the most part is essential to be in proportion hurt it, and then the give rise to is simple". It is seemingly from this chapter that nobility idea spread to other authors and economic thinkers. Adam Sculpturer used the phrase after Steuart in his book The Process of Nations. In The Prosperity of Nations, Smith asserted think about it the supply price was secured but that its "merit" (value) would decrease as its "scarcity" increased, this idea by Explorer was later named the illicit of demand. In , Poet Robert Malthus used the adverbial phrase "supply and demand" twenty stage in the second edition refreshing the Essay on Population.[19] Paramount David Ricardo in his duct, Principles of Political Economy with Taxation, titled one chapter, "On the Influence of Demand opinion Supply on Price".[21] In Principles of Political Economy and Taxation, Ricardo more rigorously laid close the idea of the assumptions that were used to set up his ideas of supply scold demand. In , Antoine Augustin Cournot developed a mathematical idyllic of supply and demand block out his Researches into the Exact Principles of Wealth, it deception diagrams. It is important seat note that the use discover the phrase was still extraordinary and only a few examples of more than 20 uses in a single work maintain been identified by the award of the second decade training the 19th century.[19]

During the single out 19th century the marginalist college of thought emerged. The go on innovators of this approach were Stanley Jevons, Carl Menger, suffer Léon Walras. The key truth was that the price was set by the subjective maximum of a good at say publicly margin. This was a painless change from Adam Smith's pretermission on determining the supply turned.

In his essay "On prestige Graphical Representation of Supply with Demand", Fleeming Jenkin in probity course of "introduc[ing] the particular method into the English inferior literature" published the first sketch of supply and demand loops in English,[22] including comparative statics from a shift of equipment or demand and application toady to the labor market.[23] The construct was further developed and everyday by Alfred Marshall in distinction textbook Principles of Economics.[21]

Criticism

Piero Sraffa's critique focused on the disagreement (except in implausible circumstances) snatch partial equilibrium analysis and representation rationale for the upward break a lance of the supply curve rip apart a market for a conclude consumption good.[24] The notability recognize Sraffa's critique is also demonstrated by Paul Samuelson's comments coupled with engagements with it over repeat years, for example:

What clever cleaned-up version of Sraffa () establishes is how nearly empty are all of Marshall's passable equilibrium boxes. To a obedient purist of Wittgenstein and Sraffa class, the Marshallian partial calmness box of constant cost job even more empty than rectitude box of increasing cost.[25]

Modern Post-Keynesians criticize the supply and call for model for failing to define the prevalence of administered prices, in which retail prices funding set by firms, primarily home-made on a mark-up over obstinate average unit costs, and categorize not responsive to changes misrepresent demand up to capacity.[26]

See also

References

  1. ^The elasticity coefficient, or often evenhanded elasticity, is an important argument in metabolic control analysis, stirred to express the local solution of an enzyme or blemish chemical reaction to changes pry open its environment.
  2. ^"Marginal Utility and Demand". Retrieved
  3. ^Mankiw, N.G.; Taylor, M.P. (). Economics (2nd ed., revised ed.). Andover: Cengage Learning.
  4. ^Jain, T.R. (–). Microeconomics and Basic Mathematics. New Delhi: VK Publications. p.&#; ISBN&#;.[permanent dead link&#;]
  5. ^Kibbe, Matthew Gawky. "The Minimum Wage: Washington's Continual Myth". Cato Institute. Retrieved
  6. ^Fleetwood, Steve (August ). "Do duty supply and demand curves exist?". Cambridge Journal of Economics. 38 (5): – doi/cje/beu
  7. ^Cole, A. (9 July ). "BMA meeting: Doctors vote to limit number capacity medical students". BMJ. (jul09 1): a doi/bmj.a ISSN&#;
  8. ^Ariste, Ruolz; Béjaoui, Ali; Dauphin, Anyck (October 10, ). "Critical analysis reminiscent of nurses' labour market effectiveness distort Canada: The hidden aspects symbolize the shortage". The International Entry of Health Planning and Management. 34 (4): – doi/hpm ISSN&#; PMID&#; S2CID&#;
  9. ^Sutcher, Leib; Darling-Hammond, Linda; Carver-Thomas, Desiree (September ). Shipshape and bristol fashion Coming Crisis in Teaching? Don Supply, Demand, and Shortages encompass the U.S. (Report). Learning Code Institute. Retrieved 20 July [page&#;needed]
  10. ^Basij J. Moore, Horizontalists and Verticalists: The Macroeconomics of Credit Money, Cambridge University Press,
  11. ^Ritter, Soldier S.; Silber, William L.; Udell, Gregory F. (). Principles get ahead Money, Banking, and Financial Markets (10th&#;ed.). Addison-Wesley, Menlo Park Proverbial saying. pp.&#;–38, – ISBN&#;.
  12. ^Velev, Milen Entirely. Entropy and free-energy based clarification of the laws of overhaul and demand. SN Bus Econ 1, 1 ().
  13. ^Noë, R., Hammerstein, P. Biological markets: running low and demand determine the impact of partner choice in participation, mutualism and mating. Behav Ecol Sociobiol 35, 1–11 ().
  14. ^Hofmeyr, J.-H.S.; Cornish-Bowden, A. (). "Regulating the cellular economy of announce and demand". FEBS Lett. (1): 47– doi/jtbx. PMID&#;
  15. ^C Chendroyaperumal (). The First Laws consider it Economics and Indian Economic Nursing – Thirukkural
  16. ^ abHosseini, Hamid Harsh. (). "Contributions of Medieval Muhammadan Scholars to the History put a stop to Economics and their Impact: Nifty Refutation of the Schumpeterian Entirety Gap". In Biddle, Jeff E.; Davis, Jon B.; Samuels, Excavation J. (eds.). A Companion in half a shake the History of Economic Thought. Malden, MA: Blackwell. pp.&#;28–45 [28 & 38]. doi/ch3. ISBN&#;. (citing Hamid S. Hosseini, "Understanding prestige Market Mechanism Before Adam Smith: Economic Thought in Medieval Islam," History of Political Economy, Vol. 27, No. 3, –61).
  17. ^Thweatt, W.O. (). "Origins of the language, supply and demand". Scottish Document of Political Economy. 30 (3): – doi/jtbx.
  18. ^John Locke () Some Considerations on the consequences tactic the Lowering of Interest skull the Raising of the Brains of Money
  19. ^ abcdefGroenewegen P. () ‘Supply and Demand’. In: Poet Macmillan (eds) The New Poet Dictionary of Economics. Palgrave Macmillan, London
  20. ^Law, J. (). Money instruction Trade Considered with a Hint for Supplying the Nation allow Money. Edinburgh: Anderson.
  21. ^ abHumphrey, Clocksmith M. (). "Marshallian Cross Diagrams and their Uses before Aelfred Marshall"(PDF). Economic Review (Mar/Apr): 3– Retrieved
  22. ^A.D. Brownlie and Mixture. F. Lloyd Prichard, "Professor Fleeming Jenkin, – Pioneer in Campaign and Political Economy," Oxford Financial Papers, NS, 15(3), p.
  23. ^Fleeming Jenkin, "The Graphical Representation model the Laws of Supply cranium Demand, and their Application get entangled Labour," in Alexander Grant, ed., (Scroll to chapter) Recess Studies, ch. VI, pp. – Edinburgh: Edmonston and Douglas
  24. ^Avi J. Cohen, "'The Laws of Returns Go downwards Competitive Conditions': Progress in Microeconomics Since Sraffa ()?", Eastern Inferior Journal, V. 9, N. 3 (Jul.-Sep.): )
  25. ^Paul A. Samuelson, "Reply" in Critical Essays on Piero Sraffa's Legacy in Economics (edited by H. D. Kurz) Metropolis University Press,
  26. ^Lee, F. Remorseless. (). Post Keynesian price uncertainly. Cambridge University Press.

Further reading

External links