Questions tagged [utility]

Utility, or usefulness, is the (perceived) ability of something to satisfy needs or wants.

Utility, or usefulness, is the (perceived) ability of something to satisfy needs or wants. Utility is an important concept in economics and game theory, because it represents satisfaction experienced by the consumer of a good. Not coincidentally, a good is something that satisfies human wants and provides utility, for example, to a consumer making a purchase.

Historically, two approachess existed to measure utility:

  • Ordinal utility theory states that while the utility of a particular good or service cannot be measured using a numerical scale bearing economic meaning in and of itself, pairs of alternative bundles (combinations) of goods can be ordered such that one is considered by an individual to be worse than, equal to, or better than the other. The concept was first introduced by Pareto in 1906.
  • Cardinal utility treats the magnitude of utility differences as bearing an economic meaning and being an ethically or behaviorally significant quantity. In neoclassical economics, cardinal utility is considered outdated except for specific contexts such as decision making under risk, utilitarian welfare evaluations, and discounted utilities for intertemporal evaluations where it is still applied. Elsewhere, such as in general consumer theory, ordinal utility is preferred.

Utility as a concept is used in Consumer theory and Welfare economics.

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Why are utility functions typically assumed to be concave?

Why is it usually required that utility function be concave? Is it because concavity is a necessary (or sufficient?) assumption for a unique equilibrium? Can someone please spell this out for me? Thank you. Edit: To clarify, I'm interested in the…
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Help understanding Lagrangian multipliers?

I am trying to understand Lagrangian multipliers and using an example problem I found online. Problem Set Up: Consider a consumer with utility function $u(x,y) = x^{\alpha} y^{1-\alpha}$, where $\alpha \in (0,1)$. Suppose this consumer has wealth…
Stan Shunpike
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Finding demand function given a utility min(x,y) function

I am confused about a particular point regarding finding a demand function. All the problems in this practice set I am doing have involved applying the method of Lagrangian multipliers. But I am uncertain if it applies here for this problem. Problem…
Stan Shunpike
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Utility function types - request for review

I am working on a Wikipedia page that compares several common utility functions. Although I found some information about these topics on the web, I didn't find it all in one place, and often got confused by the different terms. I will be happy for…
Erel Segal-Halevi
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Doesn't the concept of marginal utility speak to a cardinal utility function?

When we differentiate the utility function with respect to some input $x_i$, we get a number that tells us how "fast" the utility function is changing at some point with respect to $x_i$. Doesn't that mean that when we compare marginal utilities, we…
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Can A Utility Function Take On Negative Values?

Can someone provide a rigorous definition of a utility function? I had thought that a utility function only needs to the preserve the order of preferences. Thus a utility function can take on negative values as long as it preserves the order of…
Tony Bui
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Is this a case of nonseparable utility (across states of nature)?

There are two states of nature: summer (hot) and winter (cold). I have a utility function indexed by states of nature: $u(\cdot;summer)$ and $u(\cdot;winter)$. There are two good to choose between: ice tea and hot tea. In the summer it is hot and I…
Richard Hardy
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Is risk aversion bounded in CRRA utility?

For instance, Cagetti (2003) estimates ρ > 2 by targeting the median wealth of households, Gourinchas and Parker (2002) find ρ < 2 by targeting the mean consumption of households, Chetty (2006), using the effects of wage changes on labor supply,…
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When is a utility representation differentiable?

We know that if we start with a connected, separable product space $V_1\times,...,\times V_n$ and a complete, transitive, and continuous preference relation $\succsim$ on this product space, that there exists a continuous! utility representation…
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Easterlin hypothesis

In my understanding, the seminal contribution of Easterlin (1974) showed that within a single cross section, both within and across countries, happiness correlates positively with income. However, growth in income over time within a country is not…
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What is the proper term for the "meta-value" of an object?

For instance, say I have a roll of quarters and a roll of dimes. I can use the dimes and quarters in a parking meter, but 50 cents in dimes gets me less time than 50 cents in quarters. Additionally, I can't even use dimes in the washing machine and…
kol
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Interpreting the Reference Outcome in Thaler (1985)

On page 18 of Thaler 1985 on Value-functions $V(\cdot)$, he makes an example about an individual expecting some outcome $X$, who instead obtains $(X + \Delta X)$ which he then defines as the reference outcome $(X + \Delta X:X)$. How is the ':'…
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Is this non-separable utility?

On this presentation, the last slide is titled "Non Separable Utility", and the preferences given are $$ \frac{\left(c^\gamma (1-n)^{1-\gamma}\right)^{1-\sigma}}{1-\sigma}$$ However, I can log-transform them as $$ \log\left[ c^{\gamma(1-\sigma)}…
FooBar
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How to get a Certain Consumption Equivalent using Epstein-Zin preferences?

In many asset pricing models we use CRRA preferences and Epstein-Zin preferences. Let's say I have an agent that lives $T$ periods with CRRA preferences: $$ V_0 = \sum_{t=0}^{T} \beta^t \frac{C_t^{1-\gamma}}{1-\gamma}$$ For a given agent who is…
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Find a utility function for a specific problem

How can we find a utility function that represents buying a car that receive as an input $x,y, z$ when: $x$ - The color of the car - The most important thing when red is better than blue that better which is better than green. $y$ - Engine - The…
Pedro Gómez
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