Hawkeye

Hawkeye Play · Chapter 3 · Environmental · Social · Legal

The shared pasture

Four herders share one pasture. The grass grows back, but only so fast. Each season, each herder decides how much to take.

The rules

The pasture holds up to 100 units of grass and regrows fastest when it is half full (logistic growth, up to 25% a season when the pasture is nearly bare). Each herder takes either a modest share (1.5 units) or a large share (3 units). Together the four herders can take at most about 6 units a season without running the pasture down. All numbers are made up.

What the model typically shows

Grass left in the pasture over 30 seasons, by how many of the four herders take the modest share
02550751000612182430SeasonGrass units4 of 4 modest2 of 4 modest0 of 4 modest
Data table
Grass left (every 5th season)
Season4 of 4 modest2 of 4 modest0 of 4 modest
0100.0100.0100.0
584.374.863.9
1077.659.733.0
1573.845.40.0
2071.526.10.0
2570.00.00.0
3069.00.00.0

Takeaway

In this model, when each herder weighs only their own gain from taking more, a shared stock that regrows slowly tends to be run down. Field studies find that groups who make, monitor and enforce their own rules often keep such resources in use for long periods, though not in every case.

Sources for the model:

What this model leaves out

  • Real pastures, fisheries and aquifers have weather, prices and many more users.
  • Here the rule is simply “how many herders keep to the modest share”; it does not show how rules are made or enforced.
  • Ownership by a state or by individuals is not modelled; the Nobel summary notes each can do better or worse than user management depending on the case.

In the real world

Figures already sourced on the Earth page. The game itself uses made-up numbers.