Mathematical Methods for Complex Networks with Applications to Economics (NET-ECON 2026)

The development and application of mathematical methods is crucial for network problems arising in fields such as international trade, logistics, and transportation. Such methods provide suitable frameworks to model, analyse, and improve the design of complex systems. For instance, optimization can be used to find the best possible solution according to a suitable performance index, such as determining the most efficient delivery routes, by minimizing a proper trade-off between costs and quality of service. Game theory can be exploited to model the strategic interactions of different players, like competing companies or data packets, to predict behavior and/or design protocols able to prevent network congestion. Machine learning and statistics can enable network agents to learn from data, allowing for dynamic predictions, such as real-time traffic forecasting. Finally, numerical analysis helps in solving large-scale network problems, especially when closed-form solutions are not available. This two-days interdisciplinary workshop will feature seminars by invited leading experts, presenting recent advances on mathematical methods for complex networks. Both theoretical and application-oriented seminars will be presented.

Topics: Topics of interest include (but are not limited to)

• Mathematical games on networks.

• Machine learning and statistics.

• Numerical analysis.

• Network optimization and resilience.

• Applications to: international trade, logistics, routing, traffic forecasting, transportation.

For further information, please visit the dedicated website.

Scuola IMT Alti Studi Lucca is a member of the EFC - Educating Future Citizens network so IMT Community members have the opportunity to participate in joint activities and are encouraged to engage with partner institutions to foster academic and research collaborations.