<p>The following paper compares the efficiency of the Bertrand and Cournot game in the case of product differentiation. However, their utility function is more general than the Dixit/Stiglitz case. You also do not have an infinite number of firms competing in each differentiated product but just one firm per differentiated product (the number of differentiated products however may be infinite).</p>

<p>Vives, Xavier. "<a href="http://www.sciencedirect.com/science/article/pii/0022053185900869" rel="noreferrer">On the efficiency of Bertrand and Cournot equilibria with product differentation</a>." Journal of Economic Theory 36.1 (1985): 166-175.</p>

CC BY-SA 3.0
2015-11-11T04:32:47.310Z
Thanks! I was indeed thinking as one firm per differentiated product and an infinite number of differentiated products.
emeryville
CC BY-SA 3.0
2015-11-11T03:49:49.530Z
2015-11-11T14:11:36.843Z
2015-11-11T14:11:36.843Z
HRSE
<p>Can we view the monopolistic competition equilibrium (a la Dixit-Stigliz) as the limit case of a Bertrand competition with an infinite number of firms providing differentiated products, where the resulting equilibrium is a Nash equilibrium in prices? </p>

<p>I am looking for references on this topic. Thanks.</p>

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2020-06-02T14:48:01.627Z
Are rational expectations implicitly assuming in this model?
Beck Batucada
<reference-request><industrial-organisation><nash-equilibrium><competition>
Monopolistic and Bertrand (Nash) Competition
emeryville
# Monopolistic and Bertrand (Nash) Competition

(Asked by: username_0 on 2015-11-11)

Can we view the monopolistic competition equilibrium (a la Dixit-Stigliz) as the limit case of a Bertrand competition with an infinite number of firms providing differentiated products, where the resulting equilibrium is a Nash equilibrium in prices?

I am looking for references on this topic. Thanks.

**Tags:** reference-request, industrial-organisation, nash-equilibrium, competition

> **Comments:**
> **username_1**: Are rational expectations implicitly assuming in this model?  

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## 1 answers

### Answer by username_2 on 2015-11-11. Score: 7 | Accepted answer

The following paper compares the efficiency of the Bertrand and Cournot game in the case of product differentiation. However, their utility function is more general than the Dixit/Stiglitz case. You also do not have an infinite number of firms competing in each differentiated product but just one firm per differentiated product (the number of differentiated products however may be infinite).

Vives, Xavier. "[On the efficiency of Bertrand and Cournot equilibria with product differentation](http://www.sciencedirect.com/science/article/pii/0022053185900869)." Journal of Economic Theory 36.1 (1985): 166-175.

> **Comments:**
> **username_0**: Thanks! I was indeed thinking as one firm per differentiated product and an infinite number of differentiated products.  

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