Public Goods

The Formula Decision

The Formula Decision is a Public Goods scenario. The core lesson: Public goods problems can be solved when an outside authority changes the payoff of hoarding. You run production at a mid-size pharmaceutical plant in the middle of a world war. A government liaison has just asked your company to hand over its best mold-growing techniques to five competing manufacturers, all racing to make the same lifesaving drug for wounded soldiers. DecisionPlay maps the players, payoffs, and equilibrium dynamics that shape how this situation typically resolves.

The situation

You run production at a mid-size pharmaceutical plant in the middle of a world war. A government liaison has just asked your company to hand over its best mold-growing techniques to five competing manufacturers, all racing to make the same lifesaving drug for wounded soldiers. Your head chemist is furious, certain a rival will copy the method and undercut you the moment the war ends. Your plant manager thinks the request is a trap. But army procurement officers are waiting in the lobby, and every contract your company needs for the next two years runs through their office.

Background

A medical research team proved a mold compound could cure infections that used to be a death sentence, but no single factory could grow enough of it fast enough for a war effort. Government officials wanted every manufacturer's best fermentation methods pooled into one shared playbook before the next major invasion, arguing that secrecy now would cost soldiers their lives later.

What this reveals

Cooperation needs an enforcer, not just goodwill

Firms sharing valuable knowledge without a way to bind everyone else to the same choice are exposed to free riders, competitors who take the benefit of shared research without matching the contribution. The wartime arrangement worked because an outside authority controlled something every company needed, war contracts, and tied that resource to visible cooperation.

How to counter it: Before asking any group to trust each other's good intentions, look for a way to change what happens to the person who refuses. Rules that apply to everyone at once remove the need for trust entirely.

A question to sit with

Think of a time you held back something valuable because you were not sure others would reciprocate. What would have had to change about the situation for sharing to become the safer choice?

Frequently asked questions

What game theory concept does The Formula Decision illustrate?
The Formula Decision illustrates Public Goods. Public goods problems can be solved when an outside authority changes the payoff of hoarding.
What is the situation in The Formula Decision?
You run production at a mid-size pharmaceutical plant in the middle of a world war. A government liaison has just asked your company to hand over its best mold-growing techniques to five competing manufacturers, all racing to make the same lifesaving drug for wounded soldiers. Your head chemist is furious, certain a rival will copy the method and undercut you the moment the war ends.
What does The Formula Decision reveal about how people decide?
Cooperation needs an enforcer, not just goodwill. Firms sharing valuable knowledge without a way to bind everyone else to the same choice are exposed to free riders, competitors who take the benefit of shared research without matching the contribution. The wartime arrangement worked because an outside authority controlled something every company needed, war contracts, and tied that resource to visible cooperation.
How do you avoid the trap in The Formula Decision?
Before asking any group to trust each other's good intentions, look for a way to change what happens to the person who refuses. Rules that apply to everyone at once remove the need for trust entirely.
What is the research behind The Formula Decision?
A medical research team proved a mold compound could cure infections that used to be a death sentence, but no single factory could grow enough of it fast enough for a war effort. Government officials wanted every manufacturer's best fermentation methods pooled into one shared playbook before the next major invasion, arguing that secrecy now would cost soldiers their lives later.
How long does The Formula Decision take to play?
About 6 min, at core difficulty, across 3 decision points. It runs in your browser with no account and no sign-in.

Keep exploring

More Historical Perspective scenarios, or browse all scenarios. New to this? Start with how DecisionPlay works or the game theory glossary.

Topics: public-goods, wartime-cooperation, free-riding, history