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CONSUMER THEORY: THE NEOCLASSICAL MODEL AND ITS OPPOSITE EVOLUTIONARY
ALTERNATIVE
 

by Valentino Piana (First version: 2003)

 

This paper is quoted by Nature Energy (2020)

 

     
 
 

Contents


 
 

1. Introduction to the neoclassical model of consumer choice

 
 

2. Comparing the neoclassical approach with its opposite alternative

 
 

3. Concluding remarks

 
 

Appendix. How to use the software on the neoclassical textbook consumer theory

 
 

 

 
 
 
 

While distributing this free software that interactively explains you the basic microeconomic theory of consumption, we shall briefly introduce you to its tenets, suggesting some easy experiment with the computer application. More importantly, we shall propose you the alternative approach for interpreting real consumers' choices that is taking growing consensus among economists. The evolutionary economics of consumption and demand is here presented and contrasted, providing many empirically testable differences with the standard model, on the background of a broader methodology.

The first chapter and the appendix are mainly for students, where the second chapter is of great interest for both advanced scholars, looking for a compact but wide presentation of behavioral and evolutionary conceptualization, and students.

1. Introduction to the neoclassical model of consumer choice

The standard textbook model of consumer is an outstanding example of the neoclassical paradigm in economics [1]: a hyper-rational agent maximises something by choosing an "optimal" bundle of things.

Here, the hyper-rational consumer maximises utility (i. e. an overall generic measure of well-being) by exhausting a given budget.

He has a pre-defined income to spend on - for simplicity's sake - two goods, called X and Y, respectively.

He could spend his entire income buying only X, thus purchasing a quantity of X equal to income divided by the price of X.

Let's take a numerical example that you find here in the animated graph and that you can replicate with the software: when his income is 50 and the Y price is 10, the consumer can purchase 5 units of Y (higher red point on Y axis).

Budget line

If the graph is not animated, just reload this page or pass to a more modern Internet browser.

Or he could spend his entire income buying only X - the other good - thus purchasing a quantity of X equal to his income divided by the price of X. If X price is 6, the consumer can purchase at most 8.33 units of X (lower red point).

Or he can afford (at most) to buy any combination of quantities of X and Y that costs exactly as the income. These combinations give rise to the budget line you see between the two red points.

How to choose? Well, by having a consistent set of judgements about how much utility the consumer will enjoy by consuming each possible bundle of goods.

The typical well-behaved structure of utility of bundles is offered by indifference curves, i.e. all bundles giving the same level of utility to the consumer.

Here below you can see two indifference curves: the higher indifference curve is characterised by a higher level of utility.

Indifference curves

Now, we should consider - at the same time - both the budget constraint (the budget line) and the utility structure (the indifference curves).

The optimal bundle of goods belongs to the highest possible indifference curve crossing the budget line.

Optimal consumer's choice

The red point is the rational consumer's choice (the chosen bundle), since it maximises utility, given the budget constraint.

Everything sounds very logical and convincing - within the unrealistic setting offered by this kind of mathematics. The deductive style of this microeconomics in consumer theory takes very little care of empirical analysis and of any reasonably open experimentation. If you are interesting in understanding its mechanics, please download this software and read the appendix. But then come back to the second chapter, which is the most interesting one.

2. Comparing the neoclassical model with its opposite alternative

How do you really choose in a supermarket, facing thousands of goods and brands?

Do you have a single figure (utility) attached to any good and any combination of quantities of every good, expressing your future enjoyment?

Is your choice completely independent from what others decide or what you have already at home?

Is your pocket empty when exiting? Do you exhaust always your budget?

Is what you chose "optimal" so that next time, given your unchanged income and the same prices, you'll choose exactly the same thing?

Many students at the end of the course in Microeconomics are very sceptical about the realism of the neoclassical theory, especially the part about consumers, since they have direct expericence of buying acts and they know how they choose. And they find no trace of high mathematics and optimisation procedures. They don't use computer software to compute optimal choces.

Evolutionary economics is the main competitor of the mainstream perspective in the micro-foundation of consumption. It has already reached some clear theoretical foundations as well as formal models (as this) and empirical forecasts to be tested to corroborate or falsify the theory. It has been applied to choices in Point of Sales (such as these). It embeds the insight of psychology and behavioural approaches, including prospect theory, while enriching them to the next level.

Here we present some very schematic comparison of the two approaches.

Topics

Neoclassical approach with well-behaved preferences

 

Agent-based evolutionary economics approach
The context of choice
Goal Consumption of material goods and services is the only way to get satisfaction from life; it's a goal in itself or, better, it's the only way to get "utility", which is a goal in itself. Purchases are instrumental to "activities" that human beings plan and actually carry out, usually to fulfill needs and wants. These activities, often involving other participants, are articulation of "life" and derive from "lifestyles".
Timing

All buying choices are taken at the same time (simultaneously).

Choices are asynchronous and sequential.

As they are asynchronous, in one day, certain goods are purchased; the days after, other goods are purchased.

Being sequential in time, common phases of decisions are "need awareness", search, selection, execution, and, after some enjoyment/utilization (which is not a part of the decision process), a phase of judgement about it, possibly leading to guidelines for next purchases and to communication to others (especially in case of particularly bad or particularly good experience). However the sequence can contain switches (e.g. with a proposal being analysed to check whether it covers some needs).

Similarly, the choice of the purchase channel (shop, supermarket, online,...) and the specific Point of sale is made before the choice of actual good to purchase (with the open possibility of delaying purchase and look somewhere else).

Planning and execution may be separated in time, leaving room for changes of mind.

 

Consumption and purchases
Consumption decision and their psychological laws determine purchase acts.
Buyer don't need to be the direct consumer. Buying decision may have an intrisic logic different from consumption (e.g. to buy large quantities when the good is cheaper and store them for long periods).
Information available to consumer

The consumer has full information about all existing products, their use and their effects on his welfare (utility).

Limited information. Awareness of available set of choices is dependent on what was chosen earlier and on the process of choosing.

Degree of difficulty of the choice Zero. The choice is always easy, with all pros and cons already evaluated and compressed in a monotonic measure (utility).

Choice can be easy, moderate or extremely difficult, depending on the situation. Conversely it's because a good has the "right" level of difficulty that it appeal to the consumer (newbies prefer easy things, masters prefer difficult things).

 

The role of experience

None. The consumer ex-ante knows everything and actual consumption does not change his evaluation of the utility.

Households have well defined preferences regarding goods they never have experienced.

The first-time purchase is characterised by expectations, raised by observation and by retrieval of memories of past experiences in similar goods; repurchase is, at least in part, based on the experience gained through personal experience.
Origin of tastes Tastes are given. Not known from whom, when, how, and why.

Childhood, exploration and trial, tasting, judging and making mistakes, exposure to external and (more ore less) authoritative teaching, all revisited upon personal experience, observation of others and social communication, including through networks.

In particular, how caring adults anticipate and manage the neophobic phase of toddler has a relevant role on the imprinting upon which exploration of new goods will be carried out in later life.

Consumers learn to consume from intersubjective dynamics, including real persons and media.

 

Importance of advertising

 

None. The consumer has its own tastes and they can't be changed.

The limited information of the consumer can be extended by advertising.

Depending on the decision-making style, advertising can have an important influence beyond mere information.

Importance of the opinion of others

None. The consumer stands alone in her/his preferences.

The consumer can explicitly ask others or at least have contact with the opinion of others, who are stratified according to the relationship to the consumer (e.g. friends, teachers,...) and other network parametres.

Importance of the information flows from the producer via e.g. the label

None.

The consumer can receive instruction to appropriately use the product and enjoy it better.

The label can show third party certification of quality, e.g. environmental friendliness by ECOLABEL.

Mistakes

The consumer does never make mistakes in computation and choices.

The consumer can make mistakes. He/she may regret or being for long period unaware of having made a mistake.

Refusal to sell The consumer is always served or the refusal to sell of one specific firm is motivated by short-run marginal costs being higher than the current price. The consumer does not suffer from the refusal and promptly switches to another firm with an identical product. Refusal may happen, is usually painful but not motivated by marginal cost reasons.
The place where choice is made
Non explicit; it's a virtual decision in the consumer's mind.
In shops, supermarkets, and other Point of Sales; through Internet or other non-store distribution channels. The available commercial offer does influence final choice.
The shopping experience
Irrelevant. The utility depends on the good, not on the time spent on shopping.
Some people enjoy going shopping, show their knowledge and skills in choosing (or good luck in finding amazing bargains). Other feel that shopping is boring and try to spend as little time as possible on it. Still others have different attitudes to the issue. This adds to the number of reasons why people are heterogeneous.
Relationship between choice and execution of choice
No difference: all choices are executed.

Actual purchase can be postponed, modified or cancelled because of external pressure and conditions.

Execution takes time.

Mandatory purchase
Never. The customer is always free not to buy.
On certain markets, such as insurance markets, the regulatory authority can mandate the purchase.
How the consumer decides
Consumer rationality
Full rationality based on consumer's huge mathematical skills.
Bounded rationality based on simple decision-making rules with almost no mathematics.
Budget

The consumer has a money budget limit which is systematically exhausted (the budget constraints are always binding and reached). There is one overall budget for all kind of expenditures. All sources of income are fungible for all types of expenditure purposes.

The consumer keeps always a reserve of slack resources to cope with further expenditures. Many mental accounting budgets are kept separate by the consumer (who for instance separates capital expenditure from current expenditure and different lines of current expenditures, e.g. by need). The source of income can impact its use.

Budget coverage Whole personal income It implements a "mental accounting" in which specific budget lines (distinguishing e.g. current expenditures from capital expenditures) are not fungible.
Budget softening
Consumer cannot take a loan, unless you switch model and focus on savings, leaving aside the problem of which goods to consume. In the latter case, loans are automatically granted by request.

The institutional setting can facilitate consumer credit (apart from banks, also directly at the Point of Sale), while the use of credit cards can further relax immediate budget constraints.

Moral self-directive guidelines by the consumer and his/her family may exert an influence on how much to seize this opportunity and the corresponding risks.

Conversely, credit providers evaluate the debtor risk.

Treatment of multiple requirements over the good (e.g. shape, weight, colour, safety, energy consumption, social acceptability, etc.)

 

Automatic and implicit: all features of the good can be measured, balanced, and summarised in a unique global value (utility).

 

Explicit; the consumer can have minimum / maximum thresholds of acceptability for each requirement.

Different algorithms available for using the information about how the good fits the requirements.

Mathematics used in formal models to solve the problem of the consumer
Equations and systems of equations are the main formal devices.

Tree algorithms and disequations are the main formal devices; extensive use of IF-THEN statements.

A dual selection can occur, with both the seller and the customer posing conditions and price thresholds, as explored in this formal model of insurance.

Non-monetary constraints
Absent.
Time is a non-monetary, non-purchasable constraint in many choice (shopping being aside work time, travel time. free time, and other uses of time); in grocery purchases, at physical commercial premises the weight of the purchased basket can be a constraint (lower for consumer coming back home by foot and higher for car users).
Product-dependent process of choice

None. All goods are purchase after a standard process of evaluation.

 

Low involvement goods are chosen differently from high-stakes goods:

certain goods are purchased according to unsophisticated routines; other involve conscious thinking, possibly with systematic search of further information and conditions.

 

Consideration of past purchases None. Past purchases built up a cumulative bundle of goods, whose properties influence present purchases. For instance, the consumer might not duplicate an item that has already at home, even if he/she could afford it and likes it very much.
Definition of substitution between the goods to be chosen
Two goods are substitutes when a fall in consumed quantity in one can be perfectly compensated by an additional quantity of the second (so that consumer's utility is constant).
Two goods are substitutes when they fulfill the same need(s).
Substitution foundation
Completely subjective, given, expressed in terms of a linear or non-linear indifference curve.

Interpersonally validated: many people think that the two goods can be used alternatively as for the same phase or need.

For instance, going by train or by car to a place makes train and cars substitutes. They differ in many respect but for the purpose of that trip they are substitutes. Apples and trains are not substitutes (irrespective of whether some consumer may have a certain subjective indifference curve relating the two).

 

Aggregation and comparison across different needs Automatic: a stable global preference ordering over different kinds and degrees of want satisfaction is assumed as given. Consurmers are more at ease in comparing goods that satify the same needs than goods crossing the boundaries and meeting widely different sets of needs.
Equivalence between a fall in price and a rise in income Perfect equivalence, in the sense that a fall in price of a good that attracted a positive amount of income at the previous higher price is interpreted by the consumer as an increase in real income, leading to higher demanded quantities in all normal goods.

Mental accounting separates events in price variations from wage / non-wage income changes.

In particular, small changes in goods whose monthly expenditure is tiny and erratic in total consumer budget are totally ignored and have no effects in explicit decisionmaking. Their effect - if anything - will be cumulative.

Large changes in important categories of consumptions set in motion a chain of reflections about lifestyles, the need to save / the opportunity to spend more, e.g. new activities and new and better categories of goods.

Interaction user-product Utility is a property of the good, irrespective of consumer skills The capability of a good to satisfy needs depends on both the good and consumer characteristics, including skills to manipulate the good in goal oriented and nongoal oriented activities 
Pros and cons No explicit balancing of pros and cons. Every argument is mathematical only, not qualitative. Arguments for and against doing something or buying something could be generated and evaluated. However, this is yet implemented in current evolutionary models. It would be a very interesting development.
Ex-post rationalisation None. The consumers makes an ex-ante rational choice. Not yet implemented in current evolutionary models. However, it can be incorporated, with e.g. affordability and irrational likeability leading to choice, which is ex-post rationalised with positive and negative arguments.
What the consumer buys
Chosen set of goods
The chosen bundle of goods maximises utility (graphically: it is on the highest indifference curve) and exhausts the budget (it is on the budget line).

The chosen good is the "first solution matching certain sufficiency criteria" or is selected across simple comparisons, possibly taking into account the cumulative bundle. The consumer may take into account the effects of the puchased good on his future consumptions, including of energy.

Quantity purchased The quantity of two goods (or one good and a composite bundle in fixed proportions) that maximises utility. The quantity can be any "real number", with an arbitrary high number of decimals (or even an irrational number). Goods that "cannot miss" from the cumulative bundle at the disposal of consumer will be purchased in the quantity deriving from multiplying a "consumption dose" (typical of satisfaction of the want for a while, in absence of trends) and the number of consumption occasions, with the time horizon being the next opportunity to purchase, less the number of consumption doses already present at home.
By contrast, goods that represent "pleasant surprises" for the consumer (but do not enter routinely in its cumulative bundle) will be purchased in erratic occasions (e.g. depending on mood), in quantities dictated by satisfaction (and the number of people taking part to the "party"). In every case, the quantity purchased is a natural number of "packages" or a number with limited decimals (e.g. weight with a gram limit).
Effects of marginal changes in prices
Small changes in one price modify the quantity bought of all goods.
No change of quantity or discrete changes on the few goods concerned
Range of purchased goods
All good (X, Y,..) are bought by the consumer.
A specific consumer buys only a small selection of all existing goods.
Purchases at the same shop, separated by just a short period of time Since in a short period of time, income, prices and product available are the same, the consumer purchases exactly the same goods in the same quantity Each time the consumer goes to a shop, he can purchase widely different things, e.g. because at home he has still some inventories of goods purchased in advance
Dependence on past prices The quantity purchased depends only on current price, not on previous prices (e.g. increases or reductions of prices leading to the same final prices generate the same sold quantity) The memory of past prices exerts an effect on quantity purchased. In particular, durable goods whose previous lower price led to widening the cumulative bundle will have lower sales than if the previous prices were higher than the current. Non-durable goods whose experience increases the willingness to repurchase will exhibit the opposite situation than abovementioned durables. If previous prices were used to guess quality, a fall in prices is conducive to a higher sale level than an increase.
Reaction to new goods

All goods were present since the beginning. No new goods.

If in special neoclassical models new goods are allowed, they can be compared to existing ones by features, so a simple extension of indifference curves is possible.

 

New goods are systematically introduced by innovative firms. New goods can serve as input to current consumption activities and/or to new activities, covering in turn existing or new need (in formal terms here described, new goods have certain percentage of contribution to existing columns of needs and/or to new additional columns).

Certain consumer are prone to test and try every novelty, other are more or less neophobic. Those who try have the ability to judge, both based on previously held system of evaluation and by genuine new judgement. The diffusion of opinions will provide clues for those who did not try personally.

 

Reaction to a price of "zero"

The quantity demanded and purchased jump to infinity.

The quantity continue to be finite, with "sufficiency" and other constraits holding (e.g. time for consumption,..). Many goods are not purchased even when their prices is zero, e.g. because the consumer (temporarily or definitely) consider them not useful for his/her activities.

Post-purchase dynamics
Satisfaction from purchased good

Always equal to expectations, by design.

However, an explicit consideration of a possible random component of expectation in addition to the "real value", maximization of expected utility would systematically produce disappointment. This argument was first made by March, Harrison (1984).

Dependent on mood at the moment of consumption and the occurrence of overlooked features that can increase or reduce satisfaction.

Over time, the consumer can get used to the good, get bored or annoyed and desire something else, including totally new goods.

Social communication
None.

The consumer talks about her/his purchases to friends and other people in networks and social/mass/narrow media, especially if the good turns out to be extraordinarily positive or negative.

Network effects, with news spreading. Generalist and specialized magazines, websites and blogs host descriptions and evaluations of the good.

None.

The consumer builds up a structured set of durable and stored non-durable goods, at the disposal for her/his immediate use.

Market
Market demand
Market demand is the sum of individual demand of totally independent consumers.
Market demand is the sum of individual demand but consumers may interact (e.g. imitate others'choices) and communicate
Heterogeneneity of consumers
Consumer differ because of income.
Consumer differ because of income, skills, decision-making routines, etc.
Heterogeneneity of consumers
Consumers differ because of utility functions (Cobb-Douglas, sum-of-squares,...) - never used in real marketing research.
Who reacts to changes in prices
Changes in prices modify the behaviour of all consumers.
Most consumers continue to behave as before, Only some change so to produce the entire market effect.
Diffusion of a specific good in the population
All consumers buy the good.
Most consumer do not buy.
Shape of demand curve Depending on individual preferences, usually assumed of the same shape for all consumers. Mainly depending on income distribution, with polarised income distribution leading to convex demand curves and wide-middle-class society having concave demand curves.
Contribution to different social groups to total demand People differ by income levels but there is no segmentation by social groups. The higher the absolute price of the good, the larger the market share due to the rich. This means that the product features will be modelled by their tastes, which can be different from the poor, what has far-reacing consequences on the goals of R&D and the actual technological trajectory of expensive and cheap goods.
Determinants of the speed and scope of diffusion of the good in the population Income, preferences, and features of the good and of its substitutes Population distribution of income, personal traits (e.g. neophoby), skills, social networks; lock-in effects and complementary assets. The cumulative bundle of people, having or not having products coherent with the new one.
Externalities from public policies Demand would change only if such policies change the prices, since the consumer reacts only to price signals. There are several channels that can be used by public policies to influence consumption level and composition. Complex goods (difficult to use) might face a barrier and a vicious cycle (nobody is buying because of lack of skill but the skill cannot be gained without use) which might require a free and external intervention (e.g. education for free for several years is necessary for many cultural goods to be appreciated and enjoyed). Low-emission green goods, requested in sustainable consumption and lifestyles, might require further policies.

As you can see, there are many empirically testable differences that can be used to discriminate between the evolutionary economics consumer theory and the neoclassical one.

You can also compare neoclassical maximization choices and evolutionary routines in their capability of mimicking real data using our testbed for stochastic routines.

In short, with some simplifications, some would say that the textbook neoclassical rational consumer is stupid because ignores his own preferences' origins and dynamics, does not allow for experience during actual consumption to modify its judgement, can't express substantive reasons why he chose to buy (e.g. which needs will be fulfilled and whether in full or not), he buys every good (his only choice is quantity, not the same fact to buy) instead of selecting which good to buy and which not, does not search across different points of sale but think that the price is the same everywhere (established by the producer). Understanding the theory of consumer choice is easier for consumers than for scholars!

3. Concluding remarks

The neoclassical model of consumer, widely presented in standard textbooks as it is, does not represent the "unique game in town". The evolutionary paradigm, taking up many lessons from managerial marketing science, is offering an interesting alternative, seemingly a step forward in the dynamics of consumer theory.

To see how it works, we offer you a first model with bounded rational consumers facing competiting goods. Consumers in the model follows alternatively three rules of behaviour. These rules are so common, that you can even check here to which group of consumer you belong (or not).

The choice is up to you. What we can do is to invite you to explore the evolutionary perspective throughout this site and beyond.

 

Appendix. How to use the software on the neoclassical textbook consumer

Based on Hicksian approach to indifference curves and budget lines, this is a free software to draw economic graphs, diagrams, demand curves, singling out individual choices of (hyper)rational consumers choosing the optimal bundle. If you are a student, you can use as interactive exam preparation guide.

The program starts with a consumer having 50 as income and facing the price of some X good of 6 and the price of Y of 10.

The "Draw" button produce the graphical representation of the budget line, i.e. the quantities of X and Y that the consumer can afford exhausting his income.

Push it a first time: you are drawing the budget line and computing the value of its slope, equal - in absolute value - to the relative price of X to Y.

Increase income and re-draw the graph. The quantities on the budget line are systematically higher. No surprise.

Make more experiments varying income and prices. What happens when you increase the price of X? See it on the screen rotations and traslations and ask yourself the reasons.

As we said, the neoclassical approach uses "indifference curves" to represent the preferences of the consumer. By choosing an indifference curve type (instead of "none" - the default), you'll see - always with the button "Draw" - which combination of X and Y the consumer will optimally choose. For instance, by choosing the well-behaved Cobb-Douglas type you obtain (in the default position of income = 50, px = 6, py = 10) that the consumer buys 5.83 units of X and 1.5 units of Y. In this way he reaches a utility level (a general happiness) of 3.88.

You can see the effect of changes in income and prices on demanded quantities (so-called "income elasticity" and "price elasticity) and on utility by changing the input data.

In particular, an increase of income will normally boost both quantities of X and Y [2] - as well as the utility enjoyed.

Instead, the effect of price on demanded quantities shows that the increase of the price of X is a damage: utility falls and the quantity of X decreases as well. Try on the contrary to fix a (almost) zero price of X or Y: what does it occur? And what when X or Y are absolutely free? The optimal quantity goes to infinity... Since air is free, how much of it a human would inhale, according to this model?

Try now some systematic experiment. Keeping income at the same level, gradually increase the price of X, as it would happen maybe due to rising business costs. How does the quantity bought of X change? By collecting your observations, you'll get the demand function, linking the quantity purchased of a good with its price.

To see the computer do the same, click on the "Issues" Menu, on its line "Demand" - and the new "Draw" button - of course.

You'll find out - not surprisingly - that demand curves are negatively sloped, i.e. that an increase of price produces a fall in the quantity bought (try to modify both prices of X and Y to see the effect of general price level changes). If consumers are identical, this graph software generates the market demand curve.

Simmetrically, by keeping prices at the same level, changes in income give rise to the Engel curve, as you can see from the graph in the screen activated by the line "Engel's curve" in the "Issues" Menu.

The (indirect) link from income to utility - mediated by the optimally chosen bundle of goods - can be represented by the so-called "indirect utility function". The indirect utility function is the maximum utility attained with given prices and income.

You should first experiment in the basic screen by annotating the utility levels obtained at different levels of income, then draw more systematic curves in the new screen opened by the "Effects of income and prices on utility" line of the "Issues" Menu.

Now reflect: if an increase of income fosters utility whereas an increase of price depresses it - and everything is very precise - there should be the possibility of keeping the consumer exactly at the same level of utility by giving some additional amount of income to compensate for the price increase.

This is exactly the idea of the so-called "Hicksian compensation": the consumer is given sufficient income to reach his original utility level, the price increase notwithstanding.

Try out to compensate price changes with income movements or simply go to the "Substitution and income effects" screen accessible from the usual "Issues" Menu [3].

If you are new to these arguments, you'll need some weeks to understand all details and have a complete picture of the whole thing. But, then, come back again, because the story hasn't finished, yet.

NOTES

[1] Think for instance to Hal Varian "Intermediate Microeconomics: A Modern Approach", to Paul Samuelson "Economics", Pindyck and Rubinfeld "Microeconomics", Gregory Mankiw "Principles of Microeconomics", David Besanko and Ronald Braeutigam "Microeconomics" with a special reference to parts devoted to "Consumer behavior", "Consumer preferences", "Indifference maps", "Budget constraints", "Revealed Preferences". Flynn and McConnell "Microeconomics: Principles, Problems, and Policies" includes some elements of behavioral economics but just small bits, to suggest that it extends neoclassical theory rather than replacing it.

[2] Here lies the neoclassical explanation of the macroeconomic relationship from income to consumption.

[3] The name mirrors the important Engel's Law, stating - in 1857 - that food expenditure rises less than proportionally at the increase of income (the rich spend for food a smaller percentage of his income than the poor).

To see data confirming even today the Engel's Law see here. The interesting fact is that a well-behaved Cobb-Douglas curves is in contrast with Engel's Law because it generates constant budget shares devoted to the different class of goods. For an evolutionary economics account of Engel's curves see here and here.

IMPACT

This paper has been quoted, among others, by the following articles:

The Problem with the Concept of Utility and its Measurement, L Keller - Polish Journal of Political Science, 2015 - ceeol.com

Hahnel, U.J.J., Chatelain, G., Conte, B., Piana V., Brosch T., Mental accounting mechanisms in energy decision-making and behaviour. Nat Energy (2020). https://doi.org/10.1038/s41560-020-00704-6., freely available at https://rdcu.be/b8ppB

 
 
 
 
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