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Chapter 15 Market Demand One can think of the market demand as the demand of some “representative consumer”. Adding up demand curves: The horizontal summation principle. + = Horizontal summation The market demand curve PRICE DEMAND CURVE D(p) QUANTITY It is the sum of the individual demand curve The price elasticity of demand: ε= (Δq / q ) / (Δp / p) = ( p / q ) / (Δp /Δq), or ε= ( d q / q ) / ( d p / p) = ( p / q ) / ( d p / d q) = slope of ray / slope of curve . A good has an elastic ( inelastic, unitary) demand if |ε| > 1 ( |ε| < 1 , |ε| = 1 ). Elasticity and revenue. R = pq, ΔR = qΔp + pΔq , and then ΔR/ Δp = q [ 1 +ε(p) ] where ε( p ) = ( pΔq ) / (qΔp). The elasticity of a linear demand curve p=a–bq PRICE ︱ε︱=∞ ︱ε ︱>1 a /2 ︱ε ︱=1 ︱ε ︱<1 ︱ε ︱=0 a / 2b QUANTITY p267 Strikes and profits. The Laffer curve. Similarly, MR = ΔR / Δq = p (q) [ 1 + 1 /ε(q) ] where ε( q ) = ( pΔq ) / (qΔp). The income elasticity of demand. The arc elasticity and the point elasticity. Marginal revenue p275 PRICE a Slope=-b Slope=-2b a/2 Demand, AR a/2b a/b QUANTITY MR Marginal revenue for a linear demand curve. Marginal revenue PRICE D, AR MR = p(q)[1-1/e] QUANTITY MR for a constant elasticity demand curve Chapter 16 Equilibrium The market supply curve. The competitive equilibrium. Pareto efficiency. Pareto efficiency p301 Willing to buy at this price PRICE Supply P’d Pd=Ps=P* Demand P’s Willing to sell at this price Q’ Q* QUANTITY Market supply and market shortage price supply demand P* equilibrium P’ Qs Q* Market shortage Qd quantity Shortage is not scarcity. Special cases of equilibrium p286 PRICE PRICE Demand curve Supply curve Demand curve p* q* A QUANTITY Supply curve p* q* B QUANTITY Algebra of the equilibrium. Comparative statics. Shifting both curves. p289 Taxes. Distinguish Pp , the price paid by consumers, Pr , the price received by producers, and Po , the original price. The deadweight loss of a tax p296 Demand PRICE Amount Pp of tax revenue: Pr A+C Supply A C B D QUANTITY Q* The deadweight loss of the tax: B+D