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Partnership Location Dilemma

Two business partners, Alex and Ben, must decide where to open their new office. They must make their decisions simultaneously without knowing the other's choice. They can choose between a 'Downtown' location or a 'Suburban' location. Both partners agree that they must locate the office in the same place to be successful; if they choose different locations, the business will fail, and their payoff will be zero. Alex prefers the Downtown location, while Ben prefers the Suburban one. The payoffs for their decisions are shown in the matrix below, with Alex's payoff listed first in each pair.

Ben chooses DowntownBen chooses Suburbs
Alex chooses Downtown(3, 2)(0, 0)
Alex chooses Suburbs(0, 0)(2, 3)

Based on this scenario, identify all the stable outcomes where neither partner would wish to change their decision, assuming the other's decision remains the same. For each stable outcome you identify, explain precisely why it is stable. Additionally, explain why the outcomes where they choose different locations are not stable.

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Updated 2025-07-28

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