9. Combat¶
9.1. Land combat¶
Battlefield
Province battle board in staggered layout of tiles (as in the main map) with 24 tiles side length, 3 tile (capital is 6 tiles) wide city
Time
- 5 battle turns per game turn at most
- If the city is occupied at any time during the battle, the attacker has won. Battle is over
- If all attacking units are destroyed or fleeing or the player aborts the attack, the defender has won. Battle is over.
- Otherwise (city not taken but attacking units are still present), the battle continues the next turn keeping the actual strategic position but with reinforcement possible
Damage model
- Two units are in combat with attack values \(a_i\) and strengths \(s_i\)
- Damage dealt is then \(d_i=\mbox{max}(s_i, c(s_j a_j / a_i + \Delta )),j\neq i\) or in words: a constant modifier (\(c\) about 0.1) times the weighted strength of the other unit (weight is ratio of attack values) plus a noise term math:Delta with variance approx. 0.2 but which cannot be higher than our own strength in total
- Damage is calculated for both units and then subtracted from their strength
- Units with less than 30% strength will not attack anymore but flee automatically
No auto resolution of battle
- Actually there is auto battle, you can let an officer take over which will use AI routines. But apart from that the real model is used – no other calculations.
Special bonuses
- Encirclement factor of provinces = Number of own surrounding provinces minus Number of provinces of the enemy divided by the sum of both gives up to 50% bonus for attacker or defender. Reason: avoid isolated provinces in foreign territory, favor straight front lines
- Sea invasion ignores Encirclement factor but gives fixed 20% penalty to invader because it is more difficult.
- How to add all bonuses? Additive? Multiplicative? Limit?
9.2. Strategic Combat¶
9.3. Tactical Combat¶
- Move and/or attack. Attack ends movement.
- Responsive fire maximally two times per turn.
- Entrenchment (defending bonus, if not moved last turn, only for infantry)
- terrain hills, mountains, cities and across river give a +1 bonus each (cumulative) on defense strength (i.e. attack value when in defending position)