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Analysis of Allocative Efficiency in a Shared Decision
Two roommates, Alex and Ben, are deciding how to allocate their shared budget for a weekend activity. They have identified four possible options with the following satisfaction levels (payoffs) for each person:
- Option A (Movie Marathon): Alex's Payoff = 4, Ben's Payoff = 4
- Option B (Attend a Concert): Alex's Payoff = 10, Ben's Payoff = 2
- Option C (Go Hiking): Alex's Payoff = 3, Ben's Payoff = 9
- Option D (Visit a Museum): Alex's Payoff = 9, Ben's Payoff = 2
In your response, analyze these four options. First, identify which of the options are Pareto efficient and explain your reasoning for each. Second, identify any option that is not Pareto efficient and explain precisely why it is not, referencing the specific option(s) that dominate it. Finally, comment on whether this analysis alone is sufficient for the roommates to choose one of the efficient options over the others.
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