class: center, middle, inverse, title-slide .title[ # Microeconomics II ] .subtitle[ ##
The Analysis of Competitive Markets
] .author[ ### Guillermo Woo-Mora ] .date[ ###
Paris Sciences et Lettres
Spring 2025
] --- <style> .center2 { margin: 0; position: absolute; top: 50%; left: 50%; -ms-transform: translate(-50%, -50%); transform: translate(-50%, -50%); } </style> Interview to Mike Johnson (R) Speaker of the U.S. House of Representatives - **Reporter**: Republican ran on lowering prices. What would you say if costs go up because of tariffs? - **MJ**: I'm not gonna predict, um, the outcome, um -- first of all, which tariffs will be enacted and how it will affect prices we'll have to see .center[ <video width="700" height="400" controls> <source src="tariffs.mp4" type="video/mp4"> Your browser does not support the video tag. </video> ] --- # Introduction -- - Can we actually predict how certain policies will affect prices and quantities? - Can we make qualitative and quantitative statements about this policies? - Who benefits? Who looses? - Are markets always working fine? --- .center2[ # Evaluating the Gains and Losses from Government Policies—Consumer and Producer Surplus ] --- ## Consumer and Producer Surplus - In an unregulated, competitive market, consumers and producers buy and sell at the prevailing market price. --- ## Consumer and Producer Surplus - In an unregulated, competitive market, consumers and producers buy and sell at the prevailing market price. <img src="chapter09_files/figure-html/surplus01-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - In an unregulated, competitive market, consumers and producers buy and sell at the prevailing market price. <img src="chapter09_files/figure-html/surplus02-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 11.8 - 0.855 \cdot P$$` --- ## Consumer and Producer Surplus - In an unregulated, competitive market, consumers and producers buy and sell at the prevailing market price. <img src="chapter09_files/figure-html/surplus03-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_s = 0.0155 + 0.623 \cdot P$$` --- ## Consumer and Producer Surplus - In an unregulated, competitive market, consumers and producers buy and sell at the prevailing market price. <img src="chapter09_files/figure-html/surplus04-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 11.8 - 0.855 \cdot P$$` `$$Q_s = 0.0155 + 0.623 \cdot P$$` --- ## Consumer and Producer Surplus - In an unregulated, competitive market, consumers and producers buy and sell at the prevailing market price. <img src="chapter09_files/figure-html/surplus05-1-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q^* = 8, \; P^* = 5$$` --- ## Consumer and Producer Surplus - For each consumer `\(i\)`: `\(WTP_i \geq P\)` or `\(WTP_i \leq P\)` <img src="chapter09_files/figure-html/surplus05-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - For each consumer `\(i\)`: `\(WTP_i \geq P\)` or `\(WTP_i \leq P\)` <img src="chapter09_files/figure-html/surplus06-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - For each consumer `\(i\)`: `\(WTP_i \geq P\)` or `\(WTP_i \leq P\)` <img src="chapter09_files/figure-html/surplus07-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - Net benefit to consumer `\(i\)`: `\(WTP_i - P\)` <img src="chapter09_files/figure-html/surplus08-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - **Consumer surplus**: total net benefit to consumers <img src="chapter09_files/figure-html/surplus09-1.png" width="70%" style="display: block; margin: auto;" /> `$$\sum_i WTP_i - P \quad \forall \; WTP_i \geq P$$` --- ## Consumer and Producer Surplus - For each producer `\(i\)`: `\(WTS_i \geq P\)` or `\(WTS_i \leq P\)` <img src="chapter09_files/figure-html/surplus10-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - Net benefit to producer `\(i\)`: `\(P - WTS_i\)` <img src="chapter09_files/figure-html/surplus11-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Consumer and Producer Surplus - **Producer surplus**: the benefit that lower-cost producers enjoy by selling at the market price <img src="chapter09_files/figure-html/surplus12-1.png" width="70%" style="display: block; margin: auto;" /> `$$\sum_i P - WTS_i \quad \forall \; WTS_i \leq P$$` --- ## Consumer and Producer Surplus <img src="chapter09_files/figure-html/surplus13-1.png" width="70%" style="display: block; margin: auto;" /> .pull-left[ Consumer surplus `\(\approx (8 \times (12-5)) / 2 = 28\)` ] .pull-left[ Producer surplus `\(\approx (8 \times (5)) / 2 = 20\)` ] --- ## Welfare Gains and losses to consumers and producers. -- Together, consumer and producer surplus measure the welfare benefit of a competitive market. -- Welfare allows us to evaluate quantitatively policies and market structures. --- ## Welfare: Example - Price controls <img src="chapter09_files/figure-html/price-controls01-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls <img src="chapter09_files/figure-html/price-controls02-1.png" width="70%" style="display: block; margin: auto;" /> Price of a good has been regulated to be no higher than `\(P_{max} = 3\)` --- ## Welfare: Example - Price controls <img src="chapter09_files/figure-html/price-controls03-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{max} = 3\)`, the supply equals `\(\approx 4.8\)` --- ## Welfare: Example - Price controls <img src="chapter09_files/figure-html/price-controls04-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{max} = 3\)`, the demand equals `\(\approx 10.3\)` --- ## Welfare: Example - Price controls <img src="chapter09_files/figure-html/price-controls05-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{max} = 3\)`, **shortage** or **excess demand** `\(\approx 5.5\)` --- ## Welfare: Example - Price controls **Change in Consumer Surplus**: Some consumers are worse off as a result of the policy, and others are better off. --- ## Welfare: Example - Price controls Recall, net benefit to consumer `\(i\)`: `\(WTP_i - P_{max}\)` <img src="chapter09_files/figure-html/price-controls06-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Recall, net benefit to consumer `\(i\)`: `\(WTP_i - P_{max} \;\)` and initial Consumer Surplus <img src="chapter09_files/figure-html/price-controls07-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls **Change in Consumer Surplus** <img src="chapter09_files/figure-html/price-controls08-1.png" width="70%" style="display: block; margin: auto;" /> - Better off: purchase the good (they are lucky or are willing to wait in line) --- ## Welfare: Example - Price controls **Change in Consumer Surplus** <img src="chapter09_files/figure-html/price-controls09-1.png" width="70%" style="display: block; margin: auto;" /> - Better off: purchase the good (they are lucky or are willing to wait in line) --- ## Welfare: Example - Price controls **Change in Consumer Surplus** <img src="chapter09_files/figure-html/price-controls10-1.png" width="70%" style="display: block; margin: auto;" /> - Worse off: rationed out of the market since `\(Q_s (P_{max}) < Q*\)` --- ## Welfare: Example - Price controls **Change in Consumer Surplus** <img src="chapter09_files/figure-html/price-controls11-1.png" width="70%" style="display: block; margin: auto;" /> - Worse off: rationed out of the market since `\(Q_s (P_{max}) < Q*\)` --- ## Welfare: Example - Price controls **Change in Consumer Surplus**: Added - Lost <img src="chapter09_files/figure-html/price-controls12-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta CS \approx \textit{Added CS} - \textit{Lost CS}$$` --- ## Welfare: Example - Price controls **Change in Consumer Surplus**: Added - Lost <img src="chapter09_files/figure-html/price-controls13-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta CS \approx [(4.8)*(5-3)] - [(8-4.8)*(7.7-5)/2]$$` --- ## Welfare: Example - Price controls **Change in Consumer Surplus**: Added - Lost <img src="chapter09_files/figure-html/price-controls14-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta CS \approx (9.6) - (4.3) \approx 5.3 > 0$$` --- ## Welfare: Example - Price controls **Change in Producer Surplus**: Producers with low production costs will stay in the market, but will receive a lower price for their output, while other producers will leave the market. --- ## Welfare: Example - Price controls Recall, net benefit to producer `\(i\)`: `\(P_{max} - WTS_i\)` <img src="chapter09_files/figure-html/price-controls15-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Recall, net benefit to producer `\(i\)`: `\(P_{max} - WTS_i \;\)` and initial Consumer Surplus <img src="chapter09_files/figure-html/price-controls16-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls **Change in Producer Surplus** <img src="chapter09_files/figure-html/price-controls17-1.png" width="70%" style="display: block; margin: auto;" /> - Worse off: Producers with low production costs will stay in the market, but will receive a lower price for their output --- ## Welfare: Example - Price controls **Change in Producer Surplus** <img src="chapter09_files/figure-html/price-controls18-1.png" width="70%" style="display: block; margin: auto;" /> - Worse off: Producers with low production costs will stay in the market, but will receive a lower price for their output --- ## Welfare: Example - Price controls **Change in Producer Surplus** <img src="chapter09_files/figure-html/price-controls19-1.png" width="70%" style="display: block; margin: auto;" /> - Worse off: Other producers will leave the market. --- ## Welfare: Example - Price controls **Change in Producer Surplus** <img src="chapter09_files/figure-html/price-controls20-1.png" width="70%" style="display: block; margin: auto;" /> - Worse off: Other producers will leave the market. --- ## Welfare: Example - Price controls **Change in Producer Surplus: ** - Lost #1 - Lost #2 <img src="chapter09_files/figure-html/price-controls21-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta PS = - \textit{Lost #1} - \textit{Lost #2}$$` --- ## Welfare: Example - Price controls **Change in Producer Surplus: ** - Lost #1 - Lost #2 <img src="chapter09_files/figure-html/price-controls22-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta PS \approx - [(4.8)*(5-3)] - [(8-4.8)*(5-3)/2]$$` --- ## Welfare: Example - Price controls **Change in Producer Surplus:** - Lost #1 - Lost #2 <img src="chapter09_files/figure-html/price-controls23-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta PS \approx - (9.6) - (3.2) \approx - 12.8$$` --- ## Welfare: Example - Price controls **Change in Producer Surplus:** Producers clearly lose as a result of price controls <img src="chapter09_files/figure-html/price-controls24-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? -- **Deadweight loss**: Net loss of total (consumer plus producer) surplus. -- <img src="chapter09_files/figure-html/price-controls25-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **Deadweight loss**: Net loss of total (consumer plus producer) surplus. <img src="chapter09_files/figure-html/price-controls26-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **Deadweight loss**: Net loss of total (consumer plus producer) surplus. <img src="chapter09_files/figure-html/price-controls27-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **Deadweight loss**: Net loss of total (consumer plus producer) surplus. <img src="chapter09_files/figure-html/price-controls28-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **Deadweight loss**: Net loss of total (consumer plus producer) surplus. <img src="chapter09_files/figure-html/price-controls29-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **Deadweight loss**: Net loss of total (consumer plus producer) surplus. <img src="chapter09_files/figure-html/price-controls30-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **Deadweight loss** `\(= \Delta CS + \Delta PS\)` <img src="chapter09_files/figure-html/price-controls31-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Example - Price controls Is the loss to producers from price controls offset by the gain to consumers? **No.** **Deadweight loss** `\(= (A - B) + (-A-C) = - B -C\)` <img src="chapter09_files/figure-html/price-controls32-1.png" width="70%" style="display: block; margin: auto;" /> --- .center2[ ## Recall: Which type of market are we studying? ] --- ## Welfare: Is the producer always the one losing? -- No. Consumers can also be worse off. -- It will depend on the **Demand (price) elasticity**: how much consumers’ demand for a good will change if the price changes. -- `$$\varepsilon = - \frac{\% \textit{change in demand}}{\% \textit{change in price}} = - \frac{100 (\frac{\Delta Q}{Q})}{100 (\frac{\Delta P}{P})}$$` -- Which functional form for the demand function allow us to estimate price elasticity? -- Logaritmic function. `$$ln(Q) = ln(P) \Rightarrow \frac{d ln (Q)}{d Q} = \frac{d ln (P)}{d P} \iff \frac{ \frac{1}{Q}}{d Q} = \frac{\frac{1}{P}}{d P} \iff \frac{d Q}{Q} = \frac{d P}{P}$$` --- ## Welfare: Is the producer always the one losing? No. Consumers can also be worse off. It will depend on the **Demand (price) elasticity**. <img src="chapter09_files/figure-html/price-controls33-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 35 - 3 \cdot P ,\quad Q_s = 0.0155 + 0.623 \cdot P$$` --- ## Welfare: Is the producer always the one losing? No. Consumers can also be worse off. It will depend on the **Demand (price) elasticity**. <img src="chapter09_files/figure-html/price-controls34-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Is the producer always the one losing? No. Consumers can also be worse off. It will depend on the **Demand (price) elasticity**. <img src="chapter09_files/figure-html/price-controls35-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Welfare: Is the producer always the one losing? No. Consumers can also be worse off. It will depend on the **Demand (price) elasticity**. <img src="chapter09_files/figure-html/price-controls36-1.png" width="70%" style="display: block; margin: auto;" /> --- .center2[ # The Efficiency of a Competitive Market ] --- ## The Efficiency of a Competitive Market To evaluate a market outcome, we often ask whether it achieves **economic efficiency**: maximization of aggregate consumer and producer surplus. -- - Price controls create a **deadweight loss** `\(\Rightarrow\)` **efficiency cost** -- - A market is efficient if it maximises the total surplus of the economy -- <img src="imgs/economix.png" width="35%" style="display: block; margin: auto;" /> --- .center2[ ## Even competitive markets are not always efficient ] --- ## Market Failures **Market failures**: Situation were prices fail to provide proper signals to consumers and producers. -- `\(\Rightarrow\)` unregulated competitive market is inefficient -- .pull-left[ 1. **Externalities**: Action taken by either a producer or a consumer which affects other producers or consumers but is not accounted for by the market price. <img src="imgs/externalities.png" width="70%" style="display: block; margin: auto;" /> ] -- .pull-left[ 2. **Imperfect information**: Consumers lack information on the nature or quality of a product and cannot make decisions maximizing their utility. <img src="https://www.economist.com/cdn-cgi/image/width=1424,quality=80,format=auto/sites/default/files/images/print-edition/20190928_FND002_0.jpg" width="70%" style="display: block; margin: auto;" /> ] --- .center2[ # Minimum Prices ] --- ## Minimum Prices -- <img src="chapter09_files/figure-html/minimum-prices01-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 24.2 - 1.74 \cdot P ,\quad Q_s = 5.64 + 0.909 \cdot P$$` --- ## Minimum Prices <img src="chapter09_files/figure-html/minimum-prices02-1.png" width="70%" style="display: block; margin: auto;" /> Price of a good/service has been regulated to be above the market-clearing price, `\(P_{min} = 15\)` --- ## Minimum Prices <img src="https://i.ytimg.com/vi/-1qju6V1jLM/maxresdefault.jpg" width="70%" style="display: block; margin: auto;" /> --- ## Minimum Prices <img src="chapter09_files/figure-html/minimum-prices04-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{min} = 15\)`, the supply equals `\(\approx 10.3\)` --- ## Minimum Prices <img src="chapter09_files/figure-html/minimum-prices05-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{min} = 15\)`, the demand equals `\(\approx 5.3\)` --- ## Minimum Prices <img src="chapter09_files/figure-html/minimum-prices06-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{min} = 15\)`, the excess supply. --- ## Minimum Prices **Change in Consumer Surplus** <img src="chapter09_files/figure-html/minimum-prices07-1.png" width="70%" style="display: block; margin: auto;" /> **A**: Consumers who still purchase the good must now pay a higher price and so suffer a loss of surplus. --- ## Minimum Prices **Change in Consumer Surplus** <img src="chapter09_files/figure-html/minimum-prices08-1.png" width="70%" style="display: block; margin: auto;" /> **B**: Consumers who have dropped out of the market because of the higher price. --- ## Minimum Prices **Change in Consumer Surplus** <img src="chapter09_files/figure-html/minimum-prices09-1.png" width="70%" style="display: block; margin: auto;" /> Consumers are worst off: `\(\Delta CS = -A -B\)`. --- ## Minimum Prices **Change in Producer Surplus** <img src="chapter09_files/figure-html/minimum-prices10-1.png" width="70%" style="display: block; margin: auto;" /> **A**: Producers who sell receive a higher price for the units they sell `\(\rightarrow\)` in an increase of surplus. *Transfer from consumers to producers* --- ## Minimum Prices **Change in Producer Surplus** <img src="chapter09_files/figure-html/minimum-prices11-1.png" width="70%" style="display: block; margin: auto;" /> **C**: Drop in sales. --- ## Minimum Prices **Change in Producer Surplus** <img src="chapter09_files/figure-html/minimum-prices11-1-1.png" width="70%" style="display: block; margin: auto;" /> **D**: Cost of producing the quantity `\(Q_d (P_{min}) - Q_s (P_{min})\)` --- ## Minimum Prices **Change in Producer Surplus** <img src="chapter09_files/figure-html/minimum-prices12-1.png" width="70%" style="display: block; margin: auto;" /> If producers supply `\(Q_s (P_{min})\)`, they are worst off: `\(\Delta PS = A -C - D\)` --- ## Minimum Prices: Minimum wages -- <img src="chapter09_files/figure-html/minimum-prices13-1.png" width="70%" style="display: block; margin: auto;" /> `$$\textit{Working Hours}_d = 24.2 - 1.74 \cdot w ,\quad \textit{Working Hours}_s = 5.64 + 0.909 \cdot w$$` --- ## Minimum Prices: Minimum wages <img src="chapter09_files/figure-html/minimum-prices14-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Minimum wages: What happens in reality? -- Difficult question, as in the real world we cannot make a lab-experiment to increase the minimum wage. -- However, economics have come with ways to tackle these questions. See for instance the work on natural experiments from the [2021 Nobel Laureates: David Card, Joshua Angrist and Guido Imbens](https://www.nobelprize.org/prizes/economic-sciences/2021/press-release/). -- <img src="imgs/Card1994.png" width="60%" style="display: block; margin: auto;" /> --- ## Minimum wages: What happens in reality? <img src="imgs/Card_Nobel.png" width="55%" style="display: block; margin: auto;" /> --- ## Minimum wages: What happens in reality? <img src="imgs/Cengiz2019.png" width="55%" style="display: block; margin: auto;" /> --- ## Minimum wages: What happens in reality? <img src="imgs/Cengiz2019_NYT.png" width="55%" style="display: block; margin: auto;" /> --- .center2[ # Price Supports and Production Quotas ] --- ## Price supports The government sets the market price of a good above the free-market level and buys up whatever output is needed to maintain that price. -- <img src="chapter09_files/figure-html/price-supports01-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 11.8 - 0.855 \cdot P ,\quad Q_s = 0.0155 + 0.623 \cdot P$$` Market price: `\(P^*=5\)`. --- ## Price supports The government sets the market price of a good above the free-market level and buys up whatever output is needed to maintain that price. <img src="chapter09_files/figure-html/price-supports02-1.png" width="70%" style="display: block; margin: auto;" /> Support price: `\(P^{*'}=6.5\)`. --- ## Price supports The government sets the market price of a good above the free-market level and buys up whatever output is needed to maintain that price. <img src="chapter09_files/figure-html/price-supports03-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P^{*'}=6.5\)`, `\(Q_s (P_{s}) = 6.3\)`. Thus, the government buys `\(Q_s = Q^{*'} - Q_s (P_{s}) = 10.4 - 6.3 = 4.1\)`. --- ## Price supports **Change in Consumer Surplus**: `\(\Delta CS = -A -B\)` <img src="chapter09_files/figure-html/price-supports04-1.png" width="70%" style="display: block; margin: auto;" /> **A**: Consumers who purchase the good must pay the higher price **B**: Consumers who consume less or out of the market --- ## Price supports **Change in Producer Surplus**: `\(\Delta PS = A + B + D\)` <img src="chapter09_files/figure-html/price-supports05-1.png" width="70%" style="display: block; margin: auto;" /> **A**: Transfer from consumers to producers **B**: Extra payoff for price above the market price **D**: Payoff from sell to government --- ## Price supports **Cost to Govt.**: `\(Q_s \cdot P_s\)` <img src="chapter09_files/figure-html/price-supports06-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Price supports **Total change in welfare**: `\(\Delta CS + \Delta PS - \textit{Cost. to Govt.} = D - Q_s \cdot P_s\)` <img src="chapter09_files/figure-html/price-supports07-1.png" width="70%" style="display: block; margin: auto;" /> Used in agricultural sector. What do you think is the elasticity of such goods? --- ## Production quotas Governments can also increase the price of a good by reducing supply by decree -by setting quotas on how much firms can produce. -- <img src="chapter09_files/figure-html/production-quotas01-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 11.8 - 0.855 \cdot P ,\quad Q_s = 0.0155 + 0.623 \cdot P$$` --- ## Production quotas Governments can also increase the price of a good by reducing supply by decree -by setting quotas on how much firms can produce. <img src="chapter09_files/figure-html/production-quotas02-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Production quotas **Change in Consumer Surplus**: `\(\Delta CS = -A - B\)` **Change in Producer Surplus**: `\(\Delta PS = A - C\)` <img src="chapter09_files/figure-html/production-quotas03-1.png" width="70%" style="display: block; margin: auto;" /> Make an interpretation of which consumers/producers are being represented in each polygon. --- ## Production quotas **Deadweight loss**: `\(\Delta W= -B-C\)` <img src="chapter09_files/figure-html/production-quotas04-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Production quotas: Taxi medallions or permits. <img src="imgs/f9.15.png" width="50%" style="display: block; margin: auto;" /> --- .center2[ # Import Quotas and Tariffs ] --- ## Import quotas Many countries impose import quotas to raise domestic prices above world levels, boosting local industry profits. -- <img src="chapter09_files/figure-html/import-quotas01-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 16.6 - 0.855 \cdot P ,\quad Q_s = 1.77 + 0.623 \cdot P$$` --- ## Import quotas Without a quota or tariff, a country imports a good if its world price is lower than the domestic price without imports. <img src="chapter09_files/figure-html/import-quotas02-1.png" width="70%" style="display: block; margin: auto;" /> Global market with `\(P_w = 5\)`, at which `\(Q_s = 5.2\)` and `\(Q_d = 12.3\)`. --- ## Import quotas Without a quota or tariff, a country imports a good if its world price is lower than the domestic price without imports. <img src="chapter09_files/figure-html/import-quotas03-1.png" width="70%" style="display: block; margin: auto;" /> Global market with `\(P_w = 5\)`, at which `\(Q_s = 5.2\)` and `\(Q_d = 12.3\)`. Thus, imports are `\(Q_d - Q_s = 8.3\)`. --- ## Import quotas The government eliminates imports by imposing a quota of zero: forbidding any importation of the good. <img src="chapter09_files/figure-html/import-quotas04-1.png" width="70%" style="display: block; margin: auto;" /> Prices and quantities change to the local market equilibrium. --- ## Import quotas **Change in Consumer Surplus**: `\(\Delta CS = -A-B-C\)` <img src="chapter09_files/figure-html/import-quotas05-1.png" width="70%" style="display: block; margin: auto;" /> Prices and quantities change to the local market equilibrium. --- ## Import quotas **Change in Producer Surplus**: `\(\Delta PS = A\)` <img src="chapter09_files/figure-html/import-quotas06-1.png" width="70%" style="display: block; margin: auto;" /> Prices and quantities change to the local market equilibrium. --- ## Import quotas **Change in Welfare results in a Deadweight Loss**: `\(\Delta W= -B-C\)` <img src="chapter09_files/figure-html/import-quotas07-1.png" width="70%" style="display: block; margin: auto;" /> Prices and quantities change to the local market equilibrium. --- ## Import tariff More often, government policy is designed to reduce but not eliminate imports. Impose of tariffs: taxes on imported goods. -- <img src="chapter09_files/figure-html/import-tariffs01-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 32.5 - 2.51 \cdot P ,\quad Q_s = -1.30 + 4.26 \cdot P$$` --- ## Import tariff More often, government policy is designed to reduce but not eliminate imports. Impose of tariffs: taxes on imported goods. <img src="chapter09_files/figure-html/import-tariffs02-1.png" width="70%" style="display: block; margin: auto;" /> Global market with `\(P_w = 10\)`, at which `\(Q_s = 2.7\)` and `\(Q_d = 9\)`. Thus, imports are `\(Q_d - Q_s = 6.3\)`. --- ## Import tariff More often, government policy is designed to reduce but not eliminate imports. Impose of tariffs: taxes on imported goods. <img src="imgs/trump_tariffs.png" width="55%" style="display: block; margin: auto;" /> --- ## Import tariff More often, government policy is designed to reduce but not eliminate imports. Impose of tariffs: taxes on imported goods. <img src="chapter09_files/figure-html/import-tariffs04-1.png" width="70%" style="display: block; margin: auto;" /> Suppose a 50% tariff on imports. Thus, local price increases to `\(P_{tariff} = 15\)`. --- ## Import tariff More often, government policy is designed to reduce but not eliminate imports. Impose of tariffs: taxes on imported goods. <img src="chapter09_files/figure-html/import-tariffs05-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{tariff} = 15\)`, `\(Q_{sT} = 3.8\)` and `\(Q_{dT} = 7\)`. --- ## Import tariff More often, government policy is designed to reduce but not eliminate imports. Impose of tariffs: taxes on imported goods. <img src="chapter09_files/figure-html/import-tariffs06-1.png" width="70%" style="display: block; margin: auto;" /> At `\(P_{tariff} = 15\)`, `\(Q_{sT} = 3.8\)` and `\(Q_{dT} = 7\)`. Thus imports with tariffs are reduced to `\(Q_{dT} - Q_{sT} = 3.2\)`. --- ## Import tariff **Change in Consumer Surplus**: `\(\Delta CS = -A - B - C\)` <img src="chapter09_files/figure-html/import-tariffs07-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Import tariff **Change in Consumer Surplus**: `\(\Delta CS = -A - B - C - D\)` <img src="chapter09_files/figure-html/import-tariffs08-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Import tariff **Change in Producer Surplus**: `\(\Delta PS = A\)` <img src="chapter09_files/figure-html/import-tariffs09-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Import tariff **Government revenue**: `\(D\)` <img src="chapter09_files/figure-html/import-tariffs10-1.png" width="70%" style="display: block; margin: auto;" /> --- ## Import tariff **Change in Welfare results in a Deadweight Loss**: `\(\Delta W= -B-C\)` <img src="chapter09_files/figure-html/import-tariffs11-1.png" width="70%" style="display: block; margin: auto;" /> --- .center2[ # The Impact of a Tax or Subsidy ] --- ## The Impact of a Tax -- - What happens to the price of a good if the government imposed a $1 tax on every widget sold? -- - Who would pay the tax? Consumers? Producers? -- .center[ ### It depends! ] --- ## The Impact of a Tax How a tax on a product affects consumers, producers, price, and quantity. <img src="chapter09_files/figure-html/taxes01-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 39.7 - 0.644 \cdot P ,\quad Q_s = 16.6 + 0.894 \cdot P$$` --- ## The Impact of a Tax How a tax on a product affects consumers, producers, price, and quantity. <img src="chapter09_files/figure-html/taxes02-1.png" width="70%" style="display: block; margin: auto;" /> Suppose a 13.7 tax per unit (lump-sum). At such tax, `\(P_d = 30.6\)`, `\(P_s = 16.9\)`, and `\(Q_{tax} = 20\)`. --- ## The Impact of a Tax How a tax on a product affects consumers, producers, price, and quantity. <img src="chapter09_files/figure-html/taxes03-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta CS = - A - B$$` --- ## The Impact of a Tax How a tax on a product affects consumers, producers, price, and quantity. <img src="chapter09_files/figure-html/taxes04-1.png" width="70%" style="display: block; margin: auto;" /> `$$\Delta PS = - D - C$$` --- ## The Impact of a Tax How a tax on a product affects consumers, producers, price, and quantity. <img src="chapter09_files/figure-html/taxes05-1.png" width="70%" style="display: block; margin: auto;" /> `$$\textit{Govt. Earnings} = A + D$$` --- ## The Impact of a Tax How a tax on a product affects consumers, producers, price, and quantity. <img src="chapter09_files/figure-html/taxes06-1.png" width="70%" style="display: block; margin: auto;" /> $$\Delta W = -B -C $$ --- ## The Impact of a Tax Guess what? The impact of the tax depends on elasticities. --- ## The Impact of a Tax Suppose demand is relatively more inelastic. <img src="chapter09_files/figure-html/taxes07-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 67.6 - 2.51 \cdot P ,\quad Q_s = 23.5 + 0.436 \cdot P$$` --- ## The Impact of a Tax Suppose demand is relatively more inelastic. **The burden of the tax falls mostly on buyers.** <img src="chapter09_files/figure-html/taxes08-1.png" width="70%" style="display: block; margin: auto;" /> E.g. Cigarettes --- ## The Impact of a Tax Suppose supply is relatively more inelastic. <img src="chapter09_files/figure-html/taxes09-1.png" width="70%" style="display: block; margin: auto;" /> `$$Q_d = 38.0 - 0.535 \cdot P ,\quad Q_s = -35.4 + 4.36 \cdot P$$` --- ## The Impact of a Tax Suppose supply is relatively more inelastic. **The burden of the tax falls mostly on sellers.** <img src="chapter09_files/figure-html/taxes10-1.png" width="70%" style="display: block; margin: auto;" /> E.g. Housing --- ## The Impact of a Tax **Tax incidence**: What fraction of the tax is “passed through” to consumers in the form of higher prices? -- .pull-left[ `$$\textit{Pass-through}_{consumers} = \frac{\varepsilon_S}{\varepsilon_S - \varepsilon_D}$$` If `\(\varepsilon_D \rightarrow 0\)` `$$\Rightarrow \textit{Pass-through}_{consumers} = 1$$` ] -- .pull-left[ `$$\textit{Pass-through}_{suppliers} = \frac{-\varepsilon_D}{\varepsilon_S - \varepsilon_D}$$` If `\(\varepsilon_S \rightarrow 0\)` `$$\Rightarrow \textit{Pass-through}_{suppliers} = 1$$` ] --- ## The Impact of a Subsidy Pretty much the same of a tax. In fact, a **negative tax**. <img src="chapter09_files/figure-html/taxes11-1.png" width="70%" style="display: block; margin: auto;" /> --- .center2[ # Summary ] --- ## Summary - **Supply and demand models** help analyze government policies like price controls, subsidies, tariffs, and quotas. -- - **Consumer and producer surplus** are used to measure gains and losses from policies, which can be significant in cases like price controls and airline regulation. -- - **Taxes and subsidies** do not fully transfer to prices; instead, their burden is shared between producers and consumers based on elasticity. -- - **Government intervention** often causes deadweight loss, leading to overall inefficiency, especially in cases like price supports and import quotas. -- - **Not all intervention is bad**—it can serve objectives beyond efficiency, such as addressing externalities and market failures. -- - **Policy design must consider trade-offs** between economic efficiency and broader social goals. --- ## Beyond efficiency <img src="imgs/piie.png" width="60%" style="display: block; margin: auto;" /> .center[ [Peterson Institute for International Economics (2024)](https://www.piie.com/sites/default/files/2024-05/pb24-1.pdf) ] --- .center2[ # TD ] --- ## TD: A tax on gasoline How a $1-per-gallon tax would affect the price and consumption of gasoline? -- Setting: market conditions during 2015–2016 in the US - $3 per gallon on average - 140 billion gallons per year (bg/yr) -- `$$Q_d = 209 - 23 \cdot P \quad \quad Q_s = 83 + 19 \cdot P$$` -- Government must receive $1.00/gallon -- `$$Q_d = 209 - 23 \cdot P_d \\ \quad Q_s = 83 + 19 \cdot P_s \\ Q_s = Q_d \\ P_d - P_s = 1$$` --- ## TD: A tax on gasoline `$$209 - 23 \cdot P_d = 83 + 19 \cdot P_s$$` -- Note that `\(P_d = 1 + P_s\)` -- `$$\Rightarrow 209 - 23 \cdot (1 + P_s) = 83 + 19 \cdot P_s$$` -- `$$\Rightarrow 209 - 23 + - 23 \cdot P_s = 83 + 19 \cdot P_s$$` -- `$$\Rightarrow 42 \cdot P_s = 103$$` -- `$$\Rightarrow P_s \approx 2.45$$` -- Then, `\(P_s = 2.45\)` and `\(P_s = 3.45\)`. `$$Q_d = 209 - 23 \cdot 3.45 = 129.65 \\ Q_s = 83 + 19 \cdot 2.45 = 129.55$$` -- - What is the government revenue? - What is the deadweight loss?