Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
General Equilibrium and Welfare Partial vs. General equilibrium analysis Partial Equilibrium: narrow focus General equilibrium: framework of analysis that considers the working of several markets together General Equilibrium model of exchange Given an economy where individuals are allocated a certain amount of goods, we will o Investigate barter exchange o Define equilibrium trade o Investigate the emergence of competitive markets Primitive, two-person economy o Geoffrey, Elizabeth o Harvest & gather fruit • Apples, raspberries o Voluntary trade – beneficial o Options • Consume all • Trade some 4 Edgeworth box o Graphical device to analyze the process of trade o Its size equals the total amount of goods o A point in the box represents a possible/ feasible allocation of goods 5 No-trade allocation o Feasible allocation o No trade o Individuals consume their own harvest 6 Apples 10 0 8 Raspberries Dimensions of the Edgeworth box represent total amount of each good. There are 10 apples and 8 raspberries 7 Elizabeth Raspberries to Elizabeth 6 10 8 0 f 2 Apples to Elizabeth Apples to Geoffrey I1e I1g 0 Geoffrey 2 8 Raspberries to Geoffrey 8 Equilibrium allocation o Once reached o No incentive to further trade Block o Prevent a trade o Coalition – each gets more Individually rational trade o Higher utility - than no trade 9 10 6 4 Raspberries to Elizabeth 0 f 2 8 Apples to 6 Geoffrey g i 4 Apples to Elizabeth j h I3g I3e I1g 0 I2g I2e I1e 2 4 8 Raspberries to Geoffrey The shaded, lens-shaped area represents the set of allocations that do not lower either agent’s utility relative to the no-trade allocation at point f . 10 Pareto-optimal (efficient) allocation o Allocation of goods across people o No other allocation can make one person better off without making the other worse off. Not an efficient allocation o Indifference curves cross Efficient allocation o Indifference curves – tangent o MRS the same for both Contract curve o Curve in Edgeworth box o All efficient trades 11 0J U J1 U J2 Contract Curve US3 U J3 US2 US1 0S 0J U J1 U J2 US3 U J3 US2 US1 0S For any initial allocation we can see where trade may lead. Core of economy o Set of equilibrium trades o Portion of contract curve • Between no-trade indifference curves o Individually rational o Cannot be blocked 14 0J F is the “fair” allocation and E is the initial allocation. U J1 U J2 F US3 U J3 US2 E US1 0S It is not possible with voluntary exchange. Coercion would make Smith better off but Jones worse off. Assume a simple economy comprised of o Identical consumers o 2 Firms o Two goods X and Y o Consumers own all factors of production/ all firms Quantity of Y PPF: shows the combinations of X and Y that can be produced if resources are used efficiently It also shows the relative opportunity cost of good X in terms of Y Quantity of X Quantity of Y The indifference curves represent consumer preferences: “demand curve” U3 U2 U1 Quantity of X Point E is economically efficient: it both is productively efficient (on the PPF) and it maximizes utility. Quantity of Y F Compare point E to point F E U3 U2 U1 Quantity of X The slope of the PPF shows the opportunity cost of X in terms of Y. As more X is produced, the opportunity cost rises. The slope is the rate of product transformation. The slope of the indifference curve shows the rate at which consumers are willing to trade one good for another in consumption. The slope is the marginal rate of substitution. At the efficient point the RPT = MRS We now have an idea of where we want to be: point E. How do we get there? First Welfare Theorem says that a perfectly competitive price system will bring about an economically efficient allocation of resources. How to find a perfect competitive equilibrium? o It is a price vector that clears the market o Given the prices of the two goods • • • • Producers supply an amount of x and y Consumers demand an amount of x and an amount of y Demand for x by all consumers= total production of x Demand for y by all consumers= total production of y Consumers own all resources Consumers offer resources to firms Firms produce goods and sell them Revenue from sales used to pay all resource owners Consumers earn an income where Income = value of goods Quantity of Y Firms will maximize profits by producing here. 𝑌 𝑋 Quantity of X • Lets assume prices for both goods,𝑃𝑋1 and 𝑃𝑌1 and see if these prices constitute a perfect competitive equilibrium • The prices can be represented graphically by many straight lines with a slope -𝑃𝑋1 /𝑃𝑌1 • Firms choose a combination of X and Y that maximizes Profit • All points on the PPF cost the same, since all resources are used. Total product of firms represent income to consumers Consumers income is M= 𝑃𝑋1 𝑋+ 𝑃𝑌1 𝑌 The budget equation 𝑃𝑋1 𝑋+ 𝑃𝑌1 𝑌 = 𝑀 𝑃𝑋1 𝑋+ 𝑃𝑌1 𝑌 = 𝑃𝑋1 𝑋+ 𝑃𝑌1 𝑌 The budget line has a slope of -𝑃𝑋1 /𝑃𝑌1 and goes through point 𝑋 , 𝑌 Quantity of Y The budget line for consumers: 𝑌 • Represents all points possible to consume at the price ratio • Goes through the point of production of firms 𝑋 Quantity of X Quantity of Y Consumers will want to consume at this point 𝑌 U3 U2 𝑋 Quantity of X • Consumers maximize utility given the prices observed and their income Quantity of Y 𝑌 U3 U2 Excess demand for X 𝑋 Quantity of X Quantity of Y Excess supply of Y U3 U2 Quantity of X What’s the problem? o At the initial set of prices the decisions of firms and consumers don’t match up. o There is an excess demand for X and an excess supply of Y. What will happen to the prices of X and Y? o The price of X will increase and the price of Y will decrease. o The budget line will pivot and become steeper. Quantity of Y Consumers will want to consume at this point Firms will maximize profits by producing here. U3 U2 But we still have excess demand for X and excess supply of Y Quantity of X Quantity of Y Consumers will want to consume at this point Firms will maximize profits by producing here. U3 U2 Quantity of X At equilibrium: o Firms are maximizing profits. o Given the income consumers earn from that level of production consumers are maximizing utility. o At equilibrium the amount of X and Y producers wish to supply is equal to the amount of X and Y that consumers demand. The natural effort of every individual to better his own condition, when suffered to exert itself with freedom and security, is so powerful a principle that it is alone, and without any assistance, not only capable of carrying on the society to wealth and prosperity, but of surmounting a hundred impertinent obstructions with which the folly of human laws too often encumbers its operations. What do we mean by “market failure”? Imperfect Competition o A market in which some buyers and/or sellers have some influence on the prices of goods and services Externalities o The effect of one party’s economic activities on another party that is not taken into account by the price system (pollution) Public Goods o Goods that are both non-exclusive and non-rival Imperfect Information