The Cooperation Paradox

THE SHARED SKY THE SHARED EARTH
Three nations gather at a summit. The climate belongs to everyone — and to no one. Each can invest heavily in protection, or save their resources and hope others sacrifice instead. The rational choice destroys the commons. The cooperative choice saves it. This is the paradox.

The Cooperation Paradox

Nash Equilibrium vs Pareto Efficiency

The Paradox

Imagine every country at a climate summit. Each country can INVEST heavily in cutting emissions (costly but great for everyone) or SAVE money by doing the minimum (cheap but harmful collectively).

If everyone invests, the planet thrives — the Pareto optimal outcome. But each country is tempted to free-ride on others' efforts. When everyone follows that logic, no one invests — the Nash equilibrium, and everyone suffers.

That is the cooperation paradox: rational self-interest leads to a collectively irrational outcome.

How It Works

  • 10 rounds. You play with two AI agents.
  • Each round, choose HIGH (cooperate) or LOW (defect).
  • Your payoff depends on how many players choose HIGH:
ScenarioHIGH Players GetLOW Players Get
All 3 HIGH8 each PARETO OPTIMAL
2 HIGH, 1 LOW4 each10
1 HIGH, 2 LOW16 each
All 3 LOW3 each NASH EQUILIBRIUM

Your Opponents

I
Imran
Economics PhD Student, Lahore
Rational optimizer. Believes the dominant strategy is to defect — plays Nash equilibrium. Tends toward LOW.
R
Reshma
Development Adviser, Dhaka
Pareto seeker. Tries to cooperate and build trust to reach the best collective outcome. Tends toward HIGH.
Round 1 / 10
Cooperation Gap: 0%
You
0
Imran
0
Reshma
0
Payoff Matrix HIGH players | LOW players
HIGHsHIGH getsLOW gets
3 HIGH8 PARETO
2 HIGH410
1 HIGH16
0 HIGH3 NASH
What do you choose?
Score Tracker
0
You
0
Imran
0
Reshma
Cooperation Gap0 / 240 max

Game Over

Final Score Chart
Cooperation Efficiency
Actual total vs Pareto maximum (240)

Why This Matters

Climate agreements: Every country benefits from low emissions, but cutting emissions is costly. The Paris Agreement works to shift the game from Nash (pollute freely) toward Pareto (cooperate to limit warming).

Trade negotiations: Tariff wars arise when each country protects its own industries. Free trade is Pareto-superior, but unilateral free trade is risky — the same cooperation paradox.

Public health: Vaccination is HIGH. If everyone vaccinates, herd immunity protects all (Pareto). But each person is tempted to skip the vaccine and free-ride on others' immunity (Nash).

The lesson: Institutions, trust, repeated interaction, and communication can help groups escape the Nash trap and reach Pareto-superior outcomes.

Full History

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You
Imran
Reshma