Parametric Open Source Games
Open-source game theory studies agents whose behavior may depend on one another's decision procedures, but most existing models use discrete or symbolic programs. We introduce parametric open-source games, a continuous analogue of program equilibria in which players choose parameter vectors and semantics maps convert the full parameter profile into mixed actions in an underlying finite game. We establish equilibrium existence results, derive an exact coupling threshold at which selfish gradient ascent in symmetric $2\times2$ games switches from defection toward cooperation, and give a one-dimensional boundary test for parametric program Nash equilibria. We further extend the framework to ...
| Authors | Aleksandar Todorov, Jesse ten Napel, Alexander Müller |
|---|---|
| Primary category | cs.GT |
| Published | 25 June 2026 |
| Last updated at source | 25 June 2026 |
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