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Description^{?}  

20% chance to reduce an attack by 5% per rank.  
Release date  25 January 2016 (Update) 
Gizmo type  Armour 
Maximum rank  3 
Absorbative is an Invention perk that gives a 20% (22% on a level 20 item) chance of reducing damage by 5% per rank. It can be created in armour gizmos.
Absorbative effectively provides a 1% damage reduction per rank. However, Absorbative does not reduce hard typeless damage (typeless damage that is unaffected by defensive abilities).
Rank  Reduction per hit  Average damage reduction 

1  5%  1% (1.1%) 
2  10%  2% (2.2%) 
3  15%  3% (3.3%) 
 All numbers in parentheses refer to level 20 gear.
Calculations
 The average ratio of damage taken, , from Absorbative to that of without Absorbative is
 The average damage reduction is then, after some rearranging,
 Notes
 A calculator for this is at the top of this page.
 Assumption :
 The enemy is dealing damage with anything that is not hard typeless.
 is the rank of the Absorbative perk.
 is the proc chance of Absorbative to activate (.2 normally, .22 if the Absorbative perk is on level 20 gear).
 when or . This represents summing over all possibilities where integer represents the amount of hits prior to the proc of Absorbative. The probability of Absorbative proccing on hit is therefore .
 is the random value uniformly sampled between the enemy's minimum hit and maximum hit. The describes different sets of hits. The sets are regenerated for every new value of .
 has elements with integer . This is the damage taken before the perk procs.
 Clarification : This does mean that for that there are no elements in this set.
 is the damage taken from a single hit when Absorbative procs.
 The set of values in for integer is the same in both the numerator and denominator of the ratios for any given .
 has elements with integer . This is the damage taken before the perk procs.
 Simplifications
 This can be simplified if the assumption is that every value integer , integer is taken to be the same . In this scenario, there is no random element and the above is then only dependent on the proc chance. This simplification is increasingly accurate in the limit of large . A table is provided at the top of the page.
Using these simplifications, the damage reduction reduces to
Sources
Material  Rarity  Perk ranks with X materials  

1  2  3  4  5  
Fungal components  Rare  0  1  2  2  2–3  
Strong components  Uncommon  0  1  1–2  1–2  1–2  
Plated parts  Common  0  0  1  1  1  
Padded parts  Common  0  0  1  1  1 
Suggested gizmos
Gizmo layout  Possible perks  

 
 

Abilities  
Damage/Accuracy modifying 

Damage reduction 

Adrenaline 

Prayer 

Additional items 

Experience 

Skilling 

Miscellaneous 
