- [[common pool resource problem]], [[exploit-explore tradeoff]], [[promote cooperation]]
# Idea
Such problems can be represented by n-person [[prisoner's dilemma]]. Should I cooperate/contribute to the common good despite incurring individual costs?
Let $x_j$, $x_j \in [0, 1]$ be the action of person $j$.
Payoff to $j$: $-x_j + \beta \sum_{i=1}^{N} x_i$, where $\beta \in [0, 1]$
Collectively, we're better off if we cooperate.
Imagine a collective action problem with 30 players. If you choose to cooperate (meaning $x_j = 1$), and so do 15 others, what is your payoff? Assume $p = .7$:
$-1 + 0.7(16) = 10.2$
16 represents everyone who cooperates (you and 15 others). -1 is your cost of cooperating.
## Applications
- [[climate change]]
# References
- [[White 1967 historical roots of our ecologic crisis]]