Alternative views on utility, utility maximisation, cost minimisation, and consumer choice, rooted in diverse economic schools of thought and a broader understanding of human well-being and ecological limits. 1. Critiques of Traditional Utility Theory
Limited View of Human Motivation: The conventional approach assumes individuals act to maximize their own utility based on self-interest. However, several sources suggest this is a narrow view of human motivation. People are influenced by a range of factors including social norms, ethical considerations, and a desire to contribute to the common good. Oversimplification of Choice: The standard model portrays consumers as making rational decisions based on preferences. However, real-world choices are often influenced by emotions, habits, and social pressures, as well as impulse and changes in mood. Ignoring Interpersonal Comparisons: Traditional utility theory struggles with comparing happiness or satisfaction levels between individuals. It assumes that numerical values assigned to different market baskets by utility functions are arbitrary and cannot be compared. Neglecting Ecological and Social Context: The conventional view of utility fails to account for the environmental and social impact of consumption. It treats nature as an externality, separate from human society and economic activity. This framework neglects the fact that economic value creation is dependent on nature. Focus on Individualism: The typical microeconomic framework focuses on individual choices and does not account for group or system-level dynamics or how unequal social structures influence these choices. 2. Alternative Perspectives on Utility and Well-being
Pluralist Approach: Several sources advocate for a pluralist approach to economics, recognizing that there are diverse ways of thinking about the economy and human well-being, and moving beyond the neoclassical framework. This entails examining various perspectives, such as feminist, ecological, Marxist, institutional, behavioural, and cooperative economics. Beyond Material Consumption: Some sources challenge the idea that consumption is the ultimate goal and that it should be seen as a means to other ends such as well-being. Eudaimonia: One source introduces the concept of eudaimonia, or human flourishing, as a key value, which broadens the focus beyond individual utility maximisation. This concept involves a more holistic sense of well-being, encompassing personal, social, natural, and material dimensions. Well-being Economy: Some sources call for a "well-being economy" which focuses on human well-being rather than solely economic growth. This concept is in contrast to an econocracy where improving the economy has become the main purpose of politics. Social and Ecological Embeddedness: Alternative perspectives emphasize that economies are embedded in social and ecological systems. They call for an understanding of economic behaviour within a broader social, environmental, historical, and political context. Biophilic Markets: One source proposes the idea of "biophilic markets" that are compatible with life flourishing on Earth. This would involve moving beyond notions of market efficiency towards markets as social evolutionary systems embedded in nature. This calls for a shift from the dominant economic paradigm of nature as an externality to one that recognizes the interdependence of the economy and nature. 3. Alternative Ideas for Maximization and Choice
Satisficing Behaviour: Instead of assuming that individuals maximize utility, some perspectives suggest they engage in 'satisficing' behaviour, opting for a satisfactory outcome rather than the absolute best. This recognizes that people often use rules of thumb rather than trying to optimise everything. Behavioural Economics: Behavioural economics challenges the assumption of rationality by incorporating insights from psychology. It acknowledges that individuals don't always act rationally due to cognitive biases, emotional influences, and other factors. Focus on Social Values: Instead of focusing solely on individual utility maximization, these alternative views consider societal values like fairness, justice, and equality. This can involve rethinking the objectives of economic systems, like focusing on the capabilities and freedoms of people, rather than just economic growth. Cooperative Economics: Some perspectives promote co-operative economics, which prioritises social good, democratic governance and shared ownership. This is an alternative to the traditional profit-maximising model of firms. Mutualism, Pluralism, Resonance: One framework encourages a move toward mutualism, pluralism and resonance in production, consumption and disposal. This entails products being designed to adapt to diverse needs and production processes that mimic natural ecosystems. 4. Implications for Consumption, Budget Constraints, and Utility Functions
Beyond Simple Budget Constraints: Some of these alternative approaches consider the social and environmental costs of production and consumption and argue that the budget constraint is just one part of a wider picture. Rethinking Utility Functions: Alternative frameworks question the use of utility functions as a representation of human well-being and they argue that social welfare functions do not adequately account for interpersonal distribution of utility. Socially Constructed Consumption: Some perspectives recognize that consumption choices are influenced by social and cultural factors, not just individual preferences. Ecological Limits: Some frameworks emphasise the importance of considering ecological limits and the finite nature of resources. This involves considering the long-term implications of consumption decisions on the environment. 5. Examples of Alternative Approaches:
Universal Basic Income (UBI): Some proposals for a UBI are framed as a dividend derived from the use of the commons, which would be distributed to co-owners. This shifts the concept of money from a purely individual good to a public utility. Bioregional Financing Facilities (BFFs): BFFs are proposed as institutions that can channel capital from extractive economic systems to grow new, regenerative, bioregional economies. Commons Wealth Funds: These are suggested as ways to create transparency in how money is created and deployed, and can be used to fund a UBI. In summary, the sources highlight a shift away from the traditional, narrow focus on individual utility maximization towards a more holistic and integrated understanding of well-being, emphasizing social, ethical, and ecological considerations. This involves a move towards a pluralist approach, which incorporates diverse perspectives and recognizes the limitations of the neoclassical framework.
Solve problems related to utility maximisation from past exams, such as Assignment 1, Problem 1: This problem deals with a Stone-Geary utility function and asks you to use already derived Marshallian demand functions to: Calculate the own-price elasticity of demand for good x1. Derive the indirect utility function. Assignment 2, Problem 2d: This problem asks you to: Set up the utility maximisation problem subject to a budget constraint using the Lagrangian method and derive the first order conditions. Assignment 3, Problem 1biii: This problem asks you to analytically show that the expenditure function obtained from expenditure minimization is the same as that from the utility maximizing problem. 2019, Problem 1: This problem uses the Stone-Geary utility function and requires you to: Set up the Lagrangian and find the first-order conditions (FOCs) for utility maximisation. Interpret the quantity x0 in the Marshallian demand function. Analyse how consumption of good x changes when the price of good y increases. 2017/2015, Problem 2: This problem focuses on the derivation of the expenditure function from the Marshallian demand functions. It also asks you how to interpret the derivative of the indirect utility function with respect to income. 2012, Problem 1: This problem uses the utility function U(x,y) = ln(x) + y, asking you to: Derive and interpret the marginal rate of substitution (MRS). Find an equation for an indifference curve. Analyse what will happen with the consumption of both goods as income increases, when the consumer maximizes utility. 2012, Problem 2: This problem focuses on Hicksian demand functions. You are asked to describe the steps necessary to derive the Hicksian demand functions from Marshallian demand functions. 2011, Problem 5: This problem asks you to identify the correct completion of sentences, including how to derive the Hicksian demand function using Shepard’s Lemma. 2008, Problem 2: This problem uses the ordinal utility function U(X1, X2) = X1^0.5 * X2^0.5 and asks you to: Formulate the utility maximisation problem using the Lagrange approach. Describe the steps to derive the Marshallian demand for X1. Interpret the Lagrange multiplier. 2010, Problem 6: This problem asks you to: Draw Hicksian and Marshallian demand in a graph. Define the substitution and income effects of a price decrease using the Slutsky equation. Compare the size of the income effects of price changes for bread and housing. 2013, Problem 1: This problem requires you to identify the correct sentence completion, including one related to Shepard's Lemma, and the Hicksian demand function. 2013, Problem 2: This problem uses Hicksian demand functions, and asks you to describe how to derive the indirect utility function. 2014, Problem 2: This problem deals with expenditure minimisation and asks you to describe how to derive the expenditure function using the Hicksian demand functions. 2014, Problem 3b: You are asked to compute the compensating variation (CV). 2018, Problem 1: This problem gives a specific utility function: U(m,c) = 24m - 3m^2 + 20c - 5c^2, and asks you to compute the optimal quantities of milk and coke. 2018, Problem 2b: You are asked to determine what happens to the consumer when the price of a good increases. 2018, Problem 2c: You are asked what the sign of the equivalent variation is when the price increases. 2011, Problem 5: This problem requires you to identify the correct completion of sentences, relating to Shepard's Lemma. 2015, Problem 1: This problem requires you to identify the correct completion of sentences, relating to Shepard's Lemma. 2015, Problem 2a: You are asked to derive the expenditure function from the Marshallian Demand functions. Key Concepts and Techniques Highlighted:
These exercises and problems cover the following key concepts and techniques:
Utility Functions: Understanding different forms of utility functions (e.g., Stone-Geary, Cobb-Douglas, quasi-linear) and their properties. Marginal Rate of Substitution (MRS): Calculating and interpreting the MRS. Utility Maximisation: Setting up and solving utility maximisation problems using the Lagrangian method. Expenditure Minimisation: Setting up and solving expenditure minimisation problems to derive the expenditure function. Marshallian Demand Functions: Deriving Marshallian (or uncompensated) demand functions. Hicksian Demand Functions: Understanding and working with Hicksian (or compensated) demand functions and their relationship to expenditure functions using Shepard’s Lemma. Indirect Utility Function: Deriving and using the indirect utility function. Slutsky Equation: Understanding the income and substitution effects of price changes using the Slutsky equation. Elasticities: Calculating price elasticity of demand. Compensating and Equivalent Variation: Understanding and calculating compensating and equivalent variation due to price changes. Indifference Curves: Understanding and working with indifference curves. Lagrangian Method: Applying the Lagrangian method to constrained optimization problems.
Introduction to microeconomics, mathematical tools (calculus), and the axioms of rational choice. Understanding utility, marginal rate of substitution (MRS), and utility maximisation.
•Learning Outcomes:
◦Master the basic mathematical tools for microeconomics.
◦Understand the principles of rational choice and utility maximisation.
◦Be able to set up and solve utility maximisation problems using the Lagrangian method.
◦Calculate the MRS and understand its economic meaning.
◦Understand and derive Marshallian demand functions.
•Activities:
◦Review the introductory materials in the syllabus and assigned readings.
◦Work through relevant examples and exercises from the textbooks and the provided assignments.
◦Focus on practice problems with the Stone-Geary utility function.
◦Ensure you can derive and understand the concept of indirect utility functions.
◦Deliberate Practice: Time yourself when solving the problems, and focus on improving speed and accuracy, and error detection.
◦Reflection: Note areas you found difficult and review those topics at the end of each day.
Preferences
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(Represented by)
Utility Function
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Marginal Utilities Indifference Curves
│ │
│ (derived as the │ (level curves of the utility function,
│ derivative of the │ showing bundles with equal satisfaction)
│ utility function) │
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Marginal Utility Slope of Indifference Curve
(of each good) │
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│ │
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MRS
(Marginal Rate of Substitution)
(MRS = ratio of marginal utilities,
which is the slope of an indifference curve)
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Utility Maximisation Problem
(Maximize utility subject to a budget constraint;
uses the utility function, MRS, and marginal utilities to choose the best bundle)
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Demand Function
(The solution of the utility maximisation problem gives
the Marshallian (uncompensated) demand functions)