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The tutorial discusses a scenario involving two agents, A and B, who have initial endowments of goods. Agent A has 2 units of good one and Agent B has 3 units of good two, leading to an Edgeworth box represented as a 2x3 rectangle. Both agents have Cobb-Douglas utility functions, indicating they care about their individual consumption. The key question is identifying efficient allocations and the contract curve by equating the marginal rate of substitution (MRS) of both agents. The tutorial emphasizes that due to the utility functions sharing the same form, their MRS can be compared to determine optimal allocations.