<p><a href="http://zalamsyah.staff.unja.ac.id/wp-content/uploads/sites/286/2019/11/1-Advanced-Microeconomic-Theory-3rd-Ed.-JEHLE-RENY.pdf" rel="nofollow noreferrer">Reny-advanced microeconomic theory-page 10</a></p>
<p><a href="https://www.wikiwand.com/en/Monotone_preferences" rel="nofollow noreferrer">wiki-monotonicity preference</a></p>
<p><a href="https://i.sstatic.net/y1kGB.png" rel="nofollow noreferrer"><img src="https://i.sstatic.net/y1kGB.png" alt="enter image description here" /></a></p>
<p>This capture is the definition of strict monotonicity in Reny's textbook, and I've compare it with wikipedia also other textbook <em>Felix Munoz-Garcia-Advanced Microeconomic Theory</em>, they are different. Does strict monotonicity and strong monotonicity are different concept or <strong>is this Reny's definition wrong?</strong></p>

CC BY-SA 4.0
2022-07-28T14:26:56.677Z
Wikipedia does not define strict monotoniciy there. What would it mean for a definition to be wrong?
Michael Greinecker
CC BY-SA 4.0
2022-07-28T15:53:17.327Z
@MichaelGreinecker Thank you for your reply. isn't strict monotonicity the same thing as strong monotonicity?
LJNG
CC BY-SA 4.0
2022-07-28T16:50:51.273Z
Definitions do vary from text to text. Also, given continuity, the first part of the definition used by Jehle and Reny is redundant. I don’t think it is "wrong" though.
Michael Greinecker
<microeconomics><consumer-theory><preferences><definition>
strict monotonicity definition in Reny textbook and strong monotonicity
LJNG
# strict monotonicity definition in Reny textbook and strong monotonicity

(Asked by: username_0 on 2022-07-28)

[Reny-advanced microeconomic theory-page 10](http://zalamsyah.staff.unja.ac.id/wp-content/uploads/sites/286/2019/11/1-Advanced-Microeconomic-Theory-3rd-Ed.-JEHLE-RENY.pdf)

[wiki-monotonicity preference](https://www.wikiwand.com/en/Monotone_preferences)

[![enter image description here](https://i.sstatic.net/y1kGB.png)](https://i.sstatic.net/y1kGB.png)

This capture is the definition of strict monotonicity in Reny's textbook, and I've compare it with wikipedia also other textbook *Felix Munoz-Garcia-Advanced Microeconomic Theory*, they are different. Does strict monotonicity and strong monotonicity are different concept or **is this Reny's definition wrong?**

**Tags:** microeconomics, consumer-theory, preferences, definition
> **Comments:**
> **username_1**: Wikipedia does not define strict monotoniciy there. What would it mean for a definition to be wrong?  
> **username_0**: @MichaelGreinecker Thank you for your reply. isn't strict monotonicity the same thing as strong monotonicity?  
> **username_1**: Definitions do vary from text to text. Also, given continuity, the first part of the definition used by Jehle and Reny is redundant. I don’t think it is "wrong" though.  

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## 0 answers

