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Here I want to find Pareto efficient payoff set.

The answer is (C,β), (B, β), (C, δ)

But I don’t understand why? Please explain clearly this answer. Thanks a lot

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A payoff pair $(x,y)$ is Pareto efficient if it is not Pareto dominated. This means that there does not exist another payoff pair $(x', y')$ such that $x < x'$ and $y < y'$. (Depending on the exact definition, sometimes of of the two inequalities can be weak).

All payoffs in the payoff matrix except for $(C,\beta), (B, \beta)$ and $(C, \delta)$ are dominated by $(C, \beta) = (13, 13)$, so they are not Pareto efficient.

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