The contract curve must contain the initial endowment point.

Name: The contract curve must contain the initial endowment point.
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The contract curve represents the set of efficient allocations where the marginal rates of substitution between two goods are equal for all individuals, but it does not have to contain the initial endowment point, as that point merely represents the starting allocation of resources before any trade or reallocation.

The Contract Curve Must Contain the Initial Endowment Point