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In this example, agents A and B have initial endowments of two units of good one and three units of good two, respectively, leading to a rectangular Edgeworth box of size 2 by 3. Both agents have Cobb-Douglas utility functions, indicating they have identical preferences but care about their own consumption. The task is to identify the set of efficient allocations, or the contract curve. To do this, the marginal rate of substitution (MRS) for agent A must be equated with the MRS for agent B, due to the utility functions' properties, which allow for clear indifference curves to be analyzed.