Socially optimum output
Socially Optimum Output
The level of production that achieves allocative efficiency, where the allocation of resources results in the most beneficial outcome for society as a whole, maximising social welfare.
- Previously, we saw that the demand and supply curves could be understood as the representation of the private benefits and costs associated with consumption and production, where:
- Marginal Private Benefit (MPB): the additional benefit to the consumers from consuming an extra unit of good
- Marginal Private Cost (MPC): the additional cost to the producers from producing an extra unit of good.
- These marginal private benefits and costs guide consumer and producer decisions on how much to demand and supply.
- However, private benefits and costs don't always align with the social benefits and costs that society obtains from consuming and producing a good or service.
- Therefore, economists make a distinction between the Marginal Private Benefits/Cost and the Marginal Social Benefits/Cost.
- Reflecting society as a whole, the socially optimal output occurs at a production level where Marginal Social Benefit (MSB) equals the Marginal Social Cost (MSC):
$$MSB=MSC$$
where:
- Marginal Social Benefit (MSB) is the additional benefit to the society from consuming an extra unit of good.
- Marginal Social Cost (MSC) is the additional cost to the society from producing an extra unit of good.
In Figure 1, it can be seen that in absence of externalities:
- The demand curve ($D$) represents both Marginal Private Benefit (MPB) and the Marginal Social Benefit (MSB) at the same time
- The supply curve ($S$) represents both Marginal Private Cost (MPC) and the Marginal Social Cost (MSC) at the same time
- Thus the social optimum output is reached at their intersection, at quantity $Q_{opt}$. This level of output achieves allocative efficiency.
However, Figure 1 depicts a free market where there are no externalities.
Externality
The spillover effects on third parties, due to actions of consumer or producers.
In reality, most of the times there are externalities, which alter the allocation of resources and can be:
- Positive production externalities.
- Positive consumption externalities.
- Negative production externalities.
- Negative consumption externalities.
Positive externalities of production and consumption and welfare loss
Positive Production Externalities
Positive Production Externality
When the production of a good/service has a positive spillover effects on third parties.
- Goods and services with positive production externalities have a positive impact in society when produced.
- This is because the Marginal Social Cost of production is lower that the Marginal Private Cost of production.
- Figure 2 above showcases the representation of a positive production externality:
- The market is producing at the equilibrium set by the marginal private benefits and marginal private costs, reflected by the demand and supply curves. This market equilibrium occurs at:
- Quantity $Q_m$.
- Price $P_m$.
- However, there is an externality, and so the effects to society of producing good $x$ are different than the private ones.
- In this case, the externality is positive and of production, meaning that there is a positive spillover effect on society from the production of good $x$.
- This is occurs because the marginal costs to society of each unit produced are lower than the marginal private costs faced by producers.
- Resultantly, the MSC curve is below the MPC curve, separated by the value of the externality.
- As we say, the socially optimal level is determined by $MSB=MSC$, and so the intersection of the MSB and MSC curves yields:
- The socially optimum output quantity ($Q_{opt}$).
- The price $P_{opt}$.
- However, this social desirable quantity ($Q_{opt}$) is higher than what is being produced by the market ($Q_m$): $Q_{opt}>Q_{m}$.
- The market is producing at the equilibrium set by the marginal private benefits and marginal private costs, reflected by the demand and supply curves. This market equilibrium occurs at:
- Therefore, due to the positive production externality, the free market fails by under allocating its resources, and producing below socially optimal level.
If the externality is due to production, the effects apply to the supply curve.
Welfare Impact of Positive Production Externalities
- Since there is a misallocation of resources, in the form of under allocation in this case, this means that the market fails to achieve allocative efficiency, hence there will be a welfare loss.
- In the diagram we can observe that:
- At the current production level, the DWL is equal to the area $\frac{(MSB-MSC)\times(Qopt-Qm)}{2}$.
- If the externality is corrected, the society will gain this area as part of their welfare.
- The externality can be corrected though:
- Direct Government Provision
- Subsidies
Direct Government Provision
In, Figure 4, it could be seen that by direct government provision, the supply curve will shift to the right, closer to the $Q_{opt}$ level, hence correcting the externality and achieving efficient allocation of resources.
Subsidies
In Figure 5, it could be seen that by providing a subsidy, the government shift the MPC curve to the right, closer to the socially optimal level, which slowly eliminates the externality, as the production increases.
The High Line Park
The High Line is a public park located on a former elevated railway track on Manhattan's West Side. This project originated from a community-led initiative but received significant financial backing and support from the city government. The park was designed to offer green space in an urban setting while delivering both environmental and social advantages.
Government Intervention:
The City of New York funded the construction and ongoing upkeep of the High Line, collaborating with the Friends of the High Line, a nonprofit organization. The park was developed in phases from 2009 to 2014, with substantial public investment at each stage. In addition to serving as a recreational area, the park features sustainable design elements, such as plantings that help mitigate urban heat and enhance air quality.
Results:
The High Line has generated considerable positive impacts for the surrounding community, including increased biodiversity, better air quality, and a decrease in the urban heat island effect. The park’s greenery absorbs carbon dioxide and provides habitats for various bird and insect species, supporting environmental sustainability.
Furthermore, the High Line has been linked to rising property values in nearby neighborhoods, with property prices increasing by as much as $10,000 per unit since the park's establishment. This demonstrates the economic benefits that extend to residents and businesses in the area, even for those who do not directly utilize the park.
Additionally, the High Line promotes public health by offering a venue for physical activity and relaxation, improving the well-being of both residents and visitors
Positive Consumption Externalities (PEC)
Positive Consumption Externality
Occurs when the consumption of a good/service leaves positive spillover effects on third-parties.
Understanding positive consumption externality helps in understanding situations where a good for which consumption has positive impacts on others, is being under consumed.
- In the diagram could be seen
- The representation of positive consumption externality
- Since the externality is due to consumption, the supply curve represents both MSC and MPC.
- Since this is a market with externalities, the socially optimal level is determined by $MSB=MSC$, hence the optimal quantity is $Q_{opt}$, and the optimal price is $P_{opt}$
- Hence the market under allocates the resources for the production of the good as $Q_{m}<Q_{opt}$
- The representation of positive consumption externality
Welfare impact of Positive Consumption Externalities (PEC)
- In the Diagram it could be seen that:
- At the current production level, the DWL is equal to the area $\frac{(MSB-MSC)\times(Qopt-Qm)}{2}$.
- If the externality is corrected, the society will gain this area as part of their welfare.
- The Externality can be correct through:
- Government legislation and regulation
- Education and awareness creation
- Nudges (HL only)
- Direct government provision
- Subsidies
Use of legislations, regulations, education, and nudges in response to PEC
- Government legislation and regulation
- Legislation can be used to encourage the use of goods with positive externalities.
- As can be seen in the diagram, the MPB curve shifts to the right, closer to the MSB curve to correct the externality.
- Education and awareness creation
- Educate people about the positive effects of certain goods, hence increasing its use.
- Nudges (HL Only)
- Encourage the use of goods with positive spillovers through persuasion.
Direct government provision
- Certain goods with high third party positive effects, such as healthcare should not only be provided by the market, but by government as well.
- This as observed in the graph, increase the supply by shifting it to the right, until the social optimum quantity $Q_{opt}$ is reached, and externality is corrected.
Subsidies
- Similar to direct government provision however, it can be done more efficiently by market firms due to competition.
- These also increase the supply to the point where the production reaches $Q_{opt}$.
- Note that the price decreases as well.
Remember that to correct a positive externality you either:
- Shift the MPB curve to the right, closer to the socially optimal level
- Shift the MPC curve upwards closer to the MSC curve
Both ways the production of the good will increase, and correct the externality.
Anti-Smoking Campaigns in Australia
In Australia, the government has implemented comprehensive education and awareness campaigns aimed at reducing smoking rates, highlighting the positive consumption externality of enhanced public health. Quitting smoking not only lowers individual risks of diseases like lung cancer and heart disease but also benefits society by decreasing healthcare costs and minimizing second-hand smoke exposure.
Starting in the 1980s and intensifying in the 2000s, the Australian government initiated robust public health campaigns to inform citizens about the dangers of smoking. These initiatives included graphic warnings on cigarette packaging, television advertisements, and educational programs in schools to raise awareness about the health risks of smoking and the advantages of quitting. In 2012, the government also implemented plain packaging laws, mandating that all cigarette packs be devoid of branding and replaced with health warnings to further emphasize the message.
As a result, smoking rates in Australia have dramatically decreased, dropping from 24% of adults in 1991 to 11.2% in 2019, making it one of the lowest rates globally. The increase in public health awareness has generated a positive consumption externality by improving the overall health of the population. With fewer smokers, there has been a decline in smoking-related illnesses, alleviating pressure on the healthcare system and benefiting non-smokers by reducing their exposure to second-hand smoke.
The economic advantages of the campaign have been significant, with estimates indicating that the reduction in smoking has saved the Australian healthcare system billions of dollars each year in treatment costs for smoking-related diseases.
Merit Goods
Merit Good
Goods that are desirable by society but are under provided by the market.
Merit goods are essentially under provided because:
- Low income household are not able to buy the goods that they desire, hence the low demand decreases its provision in the market.
- Goods such as education have positive externalities, hence they are always under provided, as there can always be more of them.
- Many consumers are unaware about the beneficial effects of certain goods, hence do not demand those goods.
- Vaccinations
- Healthcare
- Education
- The policies mentioned are not always perfect and are sometimes difficult to implement:
- Government provision
- Subsidies
- Both of these methods include the use of government tax revenue, which has many alternative uses.
- Calculating the exact size of externality is nearly impossible, so it cannot be known how much should each good be provided.
- Nudges
- If nudges are not designed effectively and people are not responsive to them, nudges will lose their effectiveness
- Legislation, education and awareness
- These can be limited in their effectiveness due to the time it takes for a new law to be imposed, and the time it takes for people to adapt to.
- By the time the campaign gets its effect, the externality might be even bigger and the current regulation is not enough to correct it.
Negative Externalities: Overproduction of Demerit Goods
Negative Production Externalities
Negative Production Externality
Negative Production Externalities are spillover costs passed on to third parties from the production of a good, which are not reflected in the market price.
These externalities lead to an overproduction in a market, which causes market failure.
As it can be seen in the diagram:
- The current level of production $Q_m$, is greater than socially optimal level $Q_{opt}$ ($Q_m>Q_{opt}$), therefore there is overallocation of resources
- The externality is represented by the distance between MSC and MPC
Welfare Impacts of Negative Production Externalities
Since the market level of production is not at socially optimal level, there is a welfare loss for the society.
In Figure 12, we observe that:
- There is a welfare loss represented by the shaded area.
- This means that for every unit consumed above $Q_{opt}$, the society loses welfare.
HL Only
- Note that the welfare loss is calculated with calculating the area of the shaded area.
In order to correct these externalities, there are various approaches:
- Market Based Policies
- Indirect Pigouvian taxes
- Carbon taxes
- Tradable permits
- Collective Self Governance
- Education and Awareness Creation
- International Agreements
- Government legislation and Regulation
Demerit Goods
Demerit Good
Goods that are not socially desirable but are over provided by the market.
- Demerit goods being socially not desirable, produce negative externalities:
- This can be due to the fact that consumers do not take into consideration long term impacts of those goods
- Also because consumers are not fully aware of the impacts that these goods have
- If the government does not try to regulate the market for merit goods:
- there will be an overproduction of it, causing a misallocation of resources, hence a market failure.
- Alcohol
- Drugs
- Cigarettes
- Gambling
- Sugar
Common Pool Resources: The Tragedy of the Commons
Characteristics of Common Pool Resources
Common Pool Resources
Natural resources which are available for use for everyone, but are susceptible to overuse and depletion.
The defining characteristics of common pool resources are:
- Rivalrous: When one person’s use of a resource reduces the availability of that resource for others.
- Non-excludable: No individual can be excluded from using this resource
- Forests
- Water resources
- Fisheries
Overuse of common pool resources can lead to environmental degradation and depletion of natural resources.
The Tragedy of the Commons
The Tragedy of Commons
A situation where individuals, acting in their own self-interest, overuse and degrade a shared resource, causing long-term harm to the resource and society.
The Overuse of the Aral Sea (Central Asia)
The Aral Sea, once the fourth-largest lake globally, serves as a poignant example of the Tragedy of the Commons. Situated between Kazakhstan and Uzbekistan, the Aral Sea has undergone significant ecological decline due to excessive water extraction for irrigation.
Over-extraction of Water: In the 1960s, the Soviet Union began diverting water from the Amu Darya and Syr Darya rivers to irrigate cotton fields in the surrounding desert regions. These rivers were the main water sources for the Aral Sea.
As the Aral Sea was viewed as a common pool resource shared by multiple nations, there was no centralized authority to oversee water extraction. Each country and irrigation system prioritized maximizing their agricultural yields without considering the long-term repercussions of depleting the water supply.
Environmental Degradation: By the 1980s, the Aral Sea had diminished to a fraction of its original size, losing over 90% of its volume. The ecosystem suffered dramatically, with numerous fish species going extinct and the once-thriving fishing industry collapsing.
Public Health: The reduction of the sea exposed large areas of seabed, creating dust bowls that released harmful salts and chemicals into the atmosphere. This has led to increased respiratory illnesses and other health issues among nearby populations.
Economic Collapse: The decline in fishing and agricultural productivity severely affected the local economy, resulting in poverty and loss of livelihoods for millions in the region.
In recent years, both Kazakhstan and Uzbekistan have attempted to address the damage through water management initiatives, including the construction of the Kok-Aral Dam to help restore the northern part of the sea. Despite these efforts, the tragedy of the Aral Sea remains a stark illustration of the risks associated with unmanaged common pool resources. While some areas have shown limited recovery, the overall ecosystem continues to face significant challenges, underscoring the long-term effects of resource depletion and the necessity for collaborative, regulated management of shared resources.
Unsustainable production creating negative externalities
Sustainability
The use of a resource at a rate which allows it to naturally regenerate, so it does not degrade or deplete.
- Nowadays a lot of practices are using many natural resources at an unsustainable rate, which does not allow for their regeneration and depletes them in long term.
- As a result:
- Negative externalities are being created which harms the environment.
- Economies or households relying these resources become worse off as they are not able to use that resource at the same rate anymore.
- Overfishing
- Deforestation
- Mining


