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Message: <blockquote data-quote="Starfox" data-source="post: 5109700" data-attributes="member: 2303">Two opponents each has 100 hp and do 20 damage with each attack, having a 50% chance to hit. This means they do an average of 10 damage to each other each round, scoring a mutual (average) kill on round 10. One of these has the option of taking +2 AC or +2 to hit.Assuming he takes +2 AC, the opponent's average damage per round goes from 10 to 8. After 10 rounds, he will have done 100 hp to his opponent, having suffered 80 hp himself.Assuming he takes +2 to hit, his average damage goes from  10 to 12. After 9 rounds he has done 106 damage while suffering 90 damage himself. This is not quite as good a result as he got with the AC bonus, but the difference is very small.Lets do this again, but starting with a 20% chance to hit. Each warrior will do 4 average damage and the fight will start at 25 rounds.Assuming you take +2 to hit, average damage goes to 6. It now takes 17 rounds to do 102 damage, suffering 61 damage in return. While with +2 AC, he takes 2 damage from each blow, killing the enemy in 25 rounds after having taken 50 damage. Again, the defensive option is better, but slower.What I did this for was to show something else, however; that the effect of the +2 bonus was significantly more important at 20% base chance to hit than it was at 50% base chance to hit. The amount of hit points the winner had at the end of the 50% chance fight was 20; the remainder in the 20% base chance fight was 50 - two and a half times as much! THIS is the most important result, and it why its called escalating returns - the same bonus is worth more as you get to more extreme values.</blockquote>

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