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Analyzing Bless
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<blockquote data-quote="FrogReaver" data-source="post: 7110775" data-attributes="member: 6795602"><p>I'm assuming a party of 6 because it's going to allow me to make better more generalized assumption on down the road. </p><p></p><p>Step 1: <strong>Let every character in the party be an exact replica. This means bless will impact each character the same.</strong> (This isn't real world yet, but if we handle this case first we can later come back and add party member differences into the party).</p><p></p><p><strong>Analysis</strong></p><p>Base Case: Bless is not cast. Each party member contributes 100% of their base damage each turn for a total of 600% damage per round. If the combat lasts 4 rounds that's 2400% of a party members base damage.</p><p></p><p>Bless Case 1: In the best case scenario the party member casting bless will win initiative and go first. This sets his damage that turn to 0% (assuming he doesn't pick himself as one of the 3 targets). </p><p></p><p><strong>Assumption: 50% chance to hit</strong></p><p>With a 50% chance to hit that means bless will up net chance to hit to 62.5% chance to hit. That will increase damage by 25% for 3 party members. At the end each round the damage will be as follows:</p><p></p><p>round 1: 575%</p><p>round 2: 1250%</p><p>round 3: 1925%</p><p>round 4: 2600%</p><p></p><p>Bless Case 2: In the worst case scenario the party member casting bless will do so at the end of the round. </p><p></p><p><strong>Assumption: 50% chance to hit</strong></p><p></p><p>round 1: 500%</p><p>round 2: 1175%</p><p>round 3: 1850%</p><p>round 4: 2525%</p><p></p><p>Bless Average: I'm going to average out the best case and worst cases to get a quasi average case</p><p></p><p>round 1: 537.5</p><p>round 2: 1212.5</p><p>round 3: 1887.5</p><p>round 4: 2562.5</p><p></p><p>In the average case scenario with 6 identical party members you are increasing the party's damage by less than 7% after 4 rounds of combat. It comes at the opportunity cost of doing 10% less damage on turn 1.</p><p></p><p>Keep in mind that higher damage now is more important that higher damage later. Eliminating enemies earlier in combat has a very profound effect on how much damage the party takes in a fight. So killing that monster on turn 1 as opposed to turn to is 1 less monster turn. Even if the bless character makes up the difference by turn 2 it' still potentially 1 less attack on the party.</p><p></p><p>Final comparison before real data is attempted to be placed in:</p><p></p><p>What if the bless caster doesn't cast bless but instead casts a damage spell. I'm going to assume a level 1 spell will do about 150% of your normal damage (this may not hold if we are looking at level 20 characters but it should be a fairly good approximation.</p><p></p><p>This changes the damage layout to:</p><p>round 1: 650</p><p>round 2: 1250</p><p>round 3: 1850</p><p>round 4: 2450</p><p></p><p>Doing this gets the bless caster a 5% damage increase after 4 rounds of combat. However, he's 17% damage behind at round 1. He doesn't catch up in damage till round 3. Since damage now is better than damage later I would be inclined to say bless isn't nearly that good in this fictional whiteroom.</p><p></p><p>Now things may change and I may be proven wrong when we add in some actual characters to look at but I'll work on the analysis and post it later.</p></blockquote><p></p>
[QUOTE="FrogReaver, post: 7110775, member: 6795602"] I'm assuming a party of 6 because it's going to allow me to make better more generalized assumption on down the road. Step 1: [B]Let every character in the party be an exact replica. This means bless will impact each character the same.[/B] (This isn't real world yet, but if we handle this case first we can later come back and add party member differences into the party). [B]Analysis[/B] Base Case: Bless is not cast. Each party member contributes 100% of their base damage each turn for a total of 600% damage per round. If the combat lasts 4 rounds that's 2400% of a party members base damage. Bless Case 1: In the best case scenario the party member casting bless will win initiative and go first. This sets his damage that turn to 0% (assuming he doesn't pick himself as one of the 3 targets). [B]Assumption: 50% chance to hit[/B] With a 50% chance to hit that means bless will up net chance to hit to 62.5% chance to hit. That will increase damage by 25% for 3 party members. At the end each round the damage will be as follows: round 1: 575% round 2: 1250% round 3: 1925% round 4: 2600% Bless Case 2: In the worst case scenario the party member casting bless will do so at the end of the round. [B]Assumption: 50% chance to hit[/B] round 1: 500% round 2: 1175% round 3: 1850% round 4: 2525% Bless Average: I'm going to average out the best case and worst cases to get a quasi average case round 1: 537.5 round 2: 1212.5 round 3: 1887.5 round 4: 2562.5 In the average case scenario with 6 identical party members you are increasing the party's damage by less than 7% after 4 rounds of combat. It comes at the opportunity cost of doing 10% less damage on turn 1. Keep in mind that higher damage now is more important that higher damage later. Eliminating enemies earlier in combat has a very profound effect on how much damage the party takes in a fight. So killing that monster on turn 1 as opposed to turn to is 1 less monster turn. Even if the bless character makes up the difference by turn 2 it' still potentially 1 less attack on the party. Final comparison before real data is attempted to be placed in: What if the bless caster doesn't cast bless but instead casts a damage spell. I'm going to assume a level 1 spell will do about 150% of your normal damage (this may not hold if we are looking at level 20 characters but it should be a fairly good approximation. This changes the damage layout to: round 1: 650 round 2: 1250 round 3: 1850 round 4: 2450 Doing this gets the bless caster a 5% damage increase after 4 rounds of combat. However, he's 17% damage behind at round 1. He doesn't catch up in damage till round 3. Since damage now is better than damage later I would be inclined to say bless isn't nearly that good in this fictional whiteroom. Now things may change and I may be proven wrong when we add in some actual characters to look at but I'll work on the analysis and post it later. [/QUOTE]
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