<p>No, slope of a demand function is <span class="math-container">$\frac{\partial q(p)}{\partial p}$</span> elasticity of demand is <span class="math-container">$\frac{\partial q(p)}{\partial p} \frac{p}{q(p)}$</span>. So they cannot be same except in some special cases.</p>

CC BY-SA 4.0
2020-11-19T10:58:05.013Z
I think that this is what I want to know. One of such speacial cases is when we have CARA preferences.
Hunger Learn
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2020-11-19T11:00:49.990Z
However, I would be glad if someone could provde two paradigms with their correpsonding reasoning. One for the case they coincide and some other for the case that they are different
Hunger Learn
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2020-11-19T11:13:39.560Z
@HungerLearn what do you mean by 2 paradigms? This is one paradigm + math. For example, if $q(p)=100$ then $\partial q(p)/ \partial p= 0$ and at the same time also $\partial q(p)/ \partial p *p/q(p)=0$. Or if $q(p) = p $ then  $\partial q(p)/ \partial p= 1$ and  $\partial q(p)/ \partial p *p/q(p)=1$
WilliamT
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2020-11-19T11:16:56.523Z
Ok! Thank you for your answers!
Hunger Learn
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2020-11-19T10:56:47.160Z
2020-11-19T10:56:47.160Z
WilliamT
<p>Do the slope of a linear demand function and the elastisicy of demand coincide when we use specific preferences for pricing. As a paradigm, if we consider the case of CARA normal preferences, by solving the proble of the represenative conumer, we know that the demand function is a linear one. In this case the slope and the elasticity of the demand function coincide, but is this the case in general?</p>

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2020-11-19T10:54:29.970Z
No, the elasticity varies along linear demand curves. Because the slope of such demand curves is constant, it cannot always be equal.
Bayesian
<microeconomics><mathematical-economics><finance>
Slope vs elasticity of demand function - Is it the same thing?
Hunger Learn
# Slope vs elasticity of demand function - Is it the same thing?

(Asked by: username_0 on 2020-11-19)

Do the slope of a linear demand function and the elastisicy of demand coincide when we use specific preferences for pricing. As a paradigm, if we consider the case of CARA normal preferences, by solving the proble of the represenative conumer, we know that the demand function is a linear one. In this case the slope and the elasticity of the demand function coincide, but is this the case in general?

**Tags:** microeconomics, mathematical-economics, finance
> **Comments:**
> **username_1**: No, the elasticity varies along linear demand curves. Because the slope of such demand curves is constant, it cannot always be equal.  

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## 1 answers

### Answer by username_2 on 2020-11-19. Score: 3 | Accepted answer

No, slope of a demand function is $\frac{\partial q(p)}{\partial p}$ elasticity of demand is $\frac{\partial q(p)}{\partial p} \frac{p}{q(p)}$. So they cannot be same except in some special cases.

> **Comments:**
> **username_0**: I think that this is what I want to know. One of such speacial cases is when we have CARA preferences.  
> **username_0**: However, I would be glad if someone could provde two paradigms with their correpsonding reasoning. One for the case they coincide and some other for the case that they are different  
> **username_2**: @HungerLearn what do you mean by 2 paradigms? This is one paradigm + math. For example, if $q(p)=100$ then $\partial q(p)/ \partial p= 0$ and at the same time also $\partial q(p)/ \partial p *p/q(p)=0$. Or if $q(p) = p $ then  $\partial q(p)/ \partial p= 1$ and  $\partial q(p)/ \partial p *p/q(p)=1$  
> **username_0**: Ok! Thank you for your answers!  

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