How The Model Works
A cow gains influence by collaborating with other cows. Recent collaboration matters more than old collaboration, and tired cows participate less effectively and are less likely to join automatic events.
Main formula
Pm(t0) = Pbase +
∫0t0
∑c ∈ Mm(t)
Pc(t)
· exp[-λ(t0 - t)]
· Tm(t) dt
In each event step:
ΔPm = I · Em · ∑c ∈ event, c ≠ m Pc
Em,next = min(1, Em + recovery) - tiredness if cow m joins
Pm,next = Pbase + (Pm - Pbase) · exp(-λ) + ΔPm
- Pm(t0)
- power of cow m now
- Mm(t)
- cows collaborating with cow m at time t
- Pc(t)
- power of each collaborator cow
- λ
- forgetfulness: how fast old influence fades
- Tm(t)
- energy/tiredness factor, from 0 to 1
- I
- event intensity multiplier
- Em
- current energy of cow m
- Recovery
- energy restored to cows between steps
- Tiredness
- energy lost after joining an event