PPolySim OS
Operations & Economics Pack · Multi-Solver

Game-Theoretic Strategy

Nash & evolution. This multi-solver chains 1 solvers into a single guided workflow — run each step in order and carry the result forward.

Workflow steps
  1. game-theory
or unlock everything with Pro →
Game Theory (Nash)Live
Row player vs Column player
CooperateDefect
Cooperate
3
3
0
5
Defect
5
0
1
1
Nash
cyan = row payoff · green = column payoff

Controls

A Nash equilibrium is a pair of strategies where neither player can do better by unilaterally changing — the cornerstone of game theory. In the Prisoner's Dilemma both defect even though cooperating pays more; Matching Pennies has no pure equilibrium at all. Highlighted cells are the pure-strategy Nash equilibria.

▶ Run in Python

Data Inspector

GamePrisoner's Dilemma
Pure Nash equilibria1
Typedominant

Governing equation

Reading this result: The lone equilibrium has both players defect, even though mutual cooperation pays more — individually rational, collectively worse.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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More in the Operations & Economics pack

Frequently asked questions

What is the Game-Theoretic Strategy multi-solver?
Game-Theoretic Strategy is a guided workflow that chains 1 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.
Is it free to use?
Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.