Thank you for this great article. It is very useful for people who understand the mathematics a bit. I read one part that I didn't get completely: In a earlier part you explained how the negative defense bonuses work: If I understand this correctly, then if the defender has no defense bonuses then it doesn't really matter if the bonuses from the attacker are added to his strength or the defender's strength is reduced by a relative similar amount. Attacker strength 10 *1.25 vs defender strength 10 has probabilistically the same outcome as attacker strength 10 vs defender strength 10/1.25. Of course, you already know this, but the first quoted part of text suggests something else. I do agree with the text that describes the lesser effectiveness of specific bonuses of the attacker if the defender has a defense bonus. And it is of course very useful to know the exact percentages of the jump points.