Nash Equilibria for Product Design with Bayesian Mixed Logit Models
Published:Dec 28, 2025 10:36
•1 min read
•ArXiv
Analysis
This paper investigates the use of Bayesian mixed logit models to simulate competitive dynamics in product design, focusing on the ability of these models to accurately predict Nash equilibria. It addresses a gap in the literature by incorporating fully Bayesian choice models and assessing their performance under different choice behaviors. The research is significant because it provides insights into the reliability of these models for strategic decision-making in product development and pricing.
Key Takeaways
- •The accuracy of Nash equilibrium prediction using mixed logit models depends on the type of choice behavior (probabilistic vs. deterministic).
- •Deterministic choice rules applied to estimated preferences given deterministic choice behavior yield the highest equilibrium recovery.
- •Incorporating Bayesian (hyper)parameter uncertainty enhances detection rates, especially in deterministic choice settings.
- •The study also investigates the influence of factors like preference heterogeneity on product differentiation.
Reference
“The capability of state-of-the-art mixed logit models to reveal the true Nash equilibria seems to be primarily contingent upon the type of choice behavior (probabilistic versus deterministic).”