If both firms respect the collusive agreement, they would choose the pricing strategies that maximize their combined profits, which in this case is for Firm X to choose the low price strategy and for Firm Y to choose the high price strategy. This would result in Firm X earning a profit of 73 and Firm Y earning a profit of 81, for a total combined profit of 154.
If Firm X secretly cheats on the agreement by choosing the high price strategy, it would earn a profit of 103. This is an additional profit of 30 for Firm X compared to when both firms respect the agreement.
If both firms cheat on the agreement by choosing the high price strategy, they would each earn a profit of 81. This is a total combined profit of 162, which is an increase of 8 compared to when they respect the agreement. However, if both firms cheat on the agreement, the profits of Firm Y would fall by 18 compared to when they respect the agreement.
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