<p>The contract curve is the locus of Pareto optimal points in an Edgeworth box. What we get from that: </p>

<ul>
<li><p>To be P.O., an allocation must be feasible. So, the contract curve does not extend beyond the edges of the box (opposed to indifference curves, which we can draw as extending beyond the edges of the box) because points outside the Edgeworth box are not feasible. </p></li>
<li><p>Because the Edgeworth box does not allow for destruction/disposal, we know that the initial allocation point will account for all resources in the economy. This may make you think that the initial endowment should be part of the contract curve. However, this is not true. That is, the initial endowment point is not necessarily part of the contract curve because there are easily imagined cases where trading happens without making either agent worse off and makes at least one agent strictly better off.  </p></li>
<li><p>Yes, there are certain circumstances that cause the edges of the box to form part or all of the contract curve. If you want to explore the idea more I suggest you spend some time reading about what happens when one agent has (or both agents have) linear indifference curves. </p></li>
</ul>

CC BY-SA 3.0
2016-05-23T03:31:43.133Z
Another point to add: The set of Pareto efficient allocations does not even need to be a curve since it may have discontinuities.
HRSE
CC BY-SA 3.0
2016-05-20T04:39:20.853Z
2016-05-20T17:46:35.057Z
2016-05-20T17:46:35.057Z
123
<p>If it goes 'out of bounds' then it is not a feasible allocation. Please recall the definition of the Edgeworth box: the bounds are defined by the initial endowments/capacity limits.</p>

CC BY-SA 3.0
2016-04-20T03:17:04.953Z
2016-04-20T03:17:04.953Z
dv_bn
<p>What if the contract curve goes out of bounds? In that case, do I assume it superimposes itself on the axes it is closest to?</p>

<p>I hope this was clear. Not sure how to explain this other than visually...</p>

CC BY-SA 3.0
2016-04-20T14:08:23.483Z
Do you mean if the contract curve passes trough the origins?
Lex
CC BY-SA 3.0
2016-04-20T14:09:06.560Z
If it goes out of the bounds, you get a negative quantity of a good
Lex
<microeconomics><producer-theory><pure-exchange-economy>
Does the contract curve always have to connect the initial points on an edgeworth box? Why or why not?
TheEconomist
# Does the contract curve always have to connect the initial points on an edgeworth box? Why or why not?

(Asked by: username_0 on 2016-04-19)

What if the contract curve goes out of bounds? In that case, do I assume it superimposes itself on the axes it is closest to?

I hope this was clear. Not sure how to explain this other than visually...

**Tags:** microeconomics, producer-theory, pure-exchange-economy

> **Comments:**
> **username_1**: Do you mean if the contract curve passes trough the origins?  
> **username_1**: If it goes out of the bounds, you get a negative quantity of a good  

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## 2 answers

### Answer by username_2 on 2016-05-20. Score: 4

The contract curve is the locus of Pareto optimal points in an Edgeworth box. What we get from that:

* To be P.O., an allocation must be feasible. So, the contract curve does not extend beyond the edges of the box (opposed to indifference curves, which we can draw as extending beyond the edges of the box) because points outside the Edgeworth box are not feasible.
* Because the Edgeworth box does not allow for destruction/disposal, we know that the initial allocation point will account for all resources in the economy. This may make you think that the initial endowment should be part of the contract curve. However, this is not true. That is, the initial endowment point is not necessarily part of the contract curve because there are easily imagined cases where trading happens without making either agent worse off and makes at least one agent strictly better off.
* Yes, there are certain circumstances that cause the edges of the box to form part or all of the contract curve. If you want to explore the idea more I suggest you spend some time reading about what happens when one agent has (or both agents have) linear indifference curves.

> **Comments:**
> **username_3**: Another point to add: The set of Pareto efficient allocations does not even need to be a curve since it may have discontinuities.  

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### Answer by username_4 on 2016-04-20. Score: 0

If it goes 'out of bounds' then it is not a feasible allocation. Please recall the definition of the Edgeworth box: the bounds are defined by the initial endowments/capacity limits.


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