Tragedy of the Commons

SD · 29

Resource regrows logistically, harvesters extract h=eR per agent. dR/dt = rR(1−R/K) − N·e·R. Collapse occurs when N·e > r.

r regrowth 0.50

K capacity 100

e effort/harvester 0.05

N harvesters 5

t0.0

Resource R—

Total harvest—

Per-harvester—

extraction rate N·e—

collapse if N·e > r—

R(t)total harvest