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Showing posts with label ceteris paribus. Show all posts
Showing posts with label ceteris paribus. Show all posts

Friday, 23 June 2023

Economics Explained: Assumptions and Economic Models

An assumption, in the context of economic models, refers to a simplifying belief or proposition about the behaviour of individuals, firms, or the overall economic system. These assumptions are necessary because economic models attempt to capture the complexity of real-world phenomena and make them more understandable and analysable.

Assumptions serve as building blocks for economic models, providing a foundation upon which the analysis can be conducted. They help economists create a framework that abstracts away unnecessary details and focuses on key variables and relationships of interest. By making assumptions, economists can isolate specific factors and explore their impact on economic outcomes.

For example, when constructing a model to analyse consumer behaviour, economists may assume that individuals are rational decision-makers who seek to maximise their personal satisfaction or utility. While this assumption may not accurately capture every aspect of real-world consumer behaviour, it simplifies the decision-making process and allows economists to predict how individuals might respond to changes in prices, incomes, or other factors.

Similarly, in the study of market dynamics, economists often assume perfect competition, which assumes a large number of buyers and sellers, identical products, and perfect information. Although perfect competition is rarely found in reality, this assumption enables economists to study market equilibrium, price determination, and the effects of various policy interventions in a more manageable way.

Assumptions in economic models also often employ the ceteris paribus principle, which means "all else equal." This principle assumes that while analysing the relationship between two variables, all other factors remain constant. This allows economists to focus on the specific relationship of interest without getting entangled in the complexities of simultaneous changes in multiple factors.

It is important to note that assumptions are simplifications and abstractions, and they may not always perfectly reflect reality. However, they serve a crucial role in economic modelling by making the analysis feasible, highlighting key relationships, and providing initial insights into economic behaviour and outcomes. While assumptions are necessary, it is also important for economists to continuously test and refine them based on empirical evidence to improve the accuracy and reliability of economic models.

Assumptions and simplifications in mathematical economic models can introduce potential biases and limitations in several ways:

  1. Inaccurate representation of reality: Economic models are abstractions that aim to simplify the complex real world. However, by making assumptions and simplifications, models may fail to capture the full complexity and nuances of economic phenomena. These simplifications can lead to a mismatch between the model's assumptions and the actual behaviour of individuals, firms, or markets, potentially introducing biases in the model's predictions.

  2. Omission of relevant variables: Economic models often involve simplifications that exclude certain variables or factors that may be important in real-world situations. This exclusion can limit the model's ability to provide a comprehensive understanding of the economic system under study. The omission of relevant variables can result in biased or incomplete analysis, as important drivers of economic behaviour or outcomes may be neglected.

  3. Assumptions about individual behaviour: Many economic models rely on assumptions about the behaviour of individuals, such as the assumption of rationality or self-interest. However, these assumptions may not always hold true in reality. Individuals may exhibit bounded rationality, have imperfect information, or behave altruistically, which can deviate from the assumptions made in economic models. Such deviations can lead to biased predictions or inaccurate representations of real-world phenomena.

  4. Simplified market structures: Economic models often assume simplified market structures, such as perfect competition, monopoly, or oligopoly. While these assumptions provide a useful framework for analysis, they may not reflect the complexities of actual markets. Real-world markets can exhibit various degrees of competition, market power, and imperfect information, which can introduce biases when using simplified market structures in economic models.

  5. Linear relationships: Many economic models assume linear relationships between variables for simplicity and tractability. However, in reality, relationships between variables may be nonlinear or exhibit diminishing returns. Assuming linearity can introduce biases in predictions or policy recommendations, as it may not accurately capture the actual dynamics and interactions among variables.

  6. Limited scope of analysis: Economic models often focus on specific aspects or sectors of the economy, neglecting interdependencies and feedback effects. This limited scope can introduce biases by overlooking broader systemic effects or failing to capture the full consequences of policy interventions. It is important to recognise that economic systems are complex and interconnected, and simplifications in models can restrict the understanding of these interconnections.

To mitigate these limitations and biases, economists employ various techniques, such as sensitivity analysis, robustness checks, and empirical validation, to test the assumptions and evaluate the robustness of model predictions. Additionally, economists strive to develop more realistic and nuanced models by incorporating more accurate assumptions, relaxing unrealistic assumptions, or adopting alternative modelling approaches to address the limitations and biases introduced by simplifications.



Principles of Economics Translated by Yoram Bauman


Tuesday, 22 April 2014

Understanding Risk - Risk explained to a sixteen year old



By Girish Menon

Risk is the consequence one has to suffer when the outcome of an event is not what you expected or have invested in.

For e.g. as a GCSE student you have invested in getting the grades required by the sixth form college that you wish to go to.

The GCSE exam therefore is the event.

From an individual's point of view this event has only two possible outcome viz. you get the grades or you don't.

Your investment is time, money and effort in order to get the desired outcome.

The risk is what you will have lost when despite all your investment you did not get the desired grades and hence you are not able to do what you had wanted to do.

From a mathematical point of view since there are only two possible outcomes one could say that the probability of either outcome is 0.5.

Your investment with spending time studying, taking tuitions, buying books.... are to lower the probability to failure to as low a figure as possible.

Can you lower the probability of failure to 0? Yes, by invoking the ceteris paribus assumption. If all 'other factors' that affect a student's ability to take an exam are constant, then a student who has studied all the topics and solved past papers will not fail.

Else, some or all the 'other factors' may conspire to bring about a result that the student may not desire. It is impossible to list all the 'other factors' and hence one is unable to control them. Hence, the exam performance of even a hitherto good student remains uncertain.

If the above example, with only two possible outcomes, shows the uncertainty and unpredictability  in the exam results of a diligent student then one shudders to think about other events where all the outcomes possible cannot be identified.

Let's move to study the English Premier League. Here, each team plays 38 matches and each match can have only three outcomes. When one considers picking a winner  of the league one could look at the teams, the manager etc. But, 'other factors' such as injury to key players, the referee...... may scupper the best laid plans.

When one looks at investing in the shares of a company one may study its books of accounts. Assuming that these books are accurate, this information may be inadequate because it is information from the past and the firm which made a huge killing last season may now be facing turbulent conditions of which you an outside investor maybe unaware of. The 'other factors' that may impinge on a firm's performance will include the behaviour of the staff inside the firm, behaviour of other firms, the government's policies and even global events.

Yet, as a risk underwriter one has to take into account all of these factors, quantify each factor based on its importance and likelihood of happening and then estimate the risk of failure. The key thing to remember is that the quantitative value that you have given each factor is at best only a rough estimate and could be wrong. Which is why every risk underwriter follows Keynes' dictum, 'When the facts change, I change my mind'. George Soros, the celebrated investor, has been rumoured to say no to an investment decision that he may have approved only a few hours ago.

Even if Keynes and Soros may have changed their minds on receipt of new information I am willing to bet that their investment record will show many wrong decisions.

So if the risk in investment decisions itself cannot be accurately predicted imagine the dilemma a politician makes when he decides to take his nation to war.


Hence the best way sportsmen, businessmen and politicians overcome the uncertainty of decision making is by posturing. Pretending that you are the best and everything is within your control. They hope that this will scare away the challengers and doubters and victory becomes a self fulfilling prophecy. Alas! It unfortunately does not work every time either. 

(The author is a lecturer in economics.)