Stochastic Differential Games and Decentralized Control

Publicerad

Typ

Examensarbete för masterexamen
Master's Thesis

Modellbyggare

Tidskriftstitel

ISSN

Volymtitel

Utgivare

Sammanfattning

Multi-agent stochastic control games naturally give rise to coupled forward backward stochastic differential equations (FBSDE) for each agent. In such cases, dependencies exist both between the forward and backward equations and across agents, resulting in a highly non-trivial system to solve. In this thesis, a novel solution algorithm for such systems is presented, that is more robust compared to the existing Deep Fictitious Play method. The algorithm presented has been validated through several numerical examples. An analytical solution for linear–quadratic–Gaussian differential games is derived to validate the algorithm for problems where the Deep Fictitious Play algorithm has been shown to fail. This demonstrates the improved capabilities compared to the algorithms in the literature. In addition, a complex numerical example is designed that models a heterogeneous stochastic control game, which describes a swarm of drones following a predefined trajectory.

Beskrivning

Ämne/nyckelord

Stochastic differential equation, Forward backward differential equation, Game theory, Stochastic control, Fictitious play, Multi-agent games.

Citation

Arkitekt (konstruktör)

Geografisk plats

Byggnad (typ)

Byggår

Modelltyp

Skala

Teknik / material

Index

item.page.endorsement

item.page.review

item.page.supplemented

item.page.referenced