Short Answer

Modifying Game Outcomes for Efficiency

Consider a strategic interaction between two farmers, Anil and Bala, who independently choose to grow either Rice or Cassava. The payoffs, representing income, for each combination of choices are as follows (Anil's payoff, Bala's payoff):

  • If Anil chooses Rice and Bala chooses Rice: (2, 4)
  • If Anil chooses Rice and Bala chooses Cassava: (5, 5)
  • If Anil chooses Cassava and Bala chooses Rice: (6, 6)
  • If both choose Cassava: (3, 3)

Currently, this game has only one outcome where it is impossible to make one farmer better off without making the other worse off. Your task is to change exactly one number in the payoffs so that the game has two such outcomes. State which player's payoff you are changing, for which outcome, its new value, and explain why your change creates a second efficient outcome.

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Updated 2025-08-13

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