Microscopic Cycling Behavior Model Using Differential Game Theory
In order to develop design guidelines and assess the implications on traffic flow operations and safety, microscopic behavioral models are used. The increasing interest in cycling in cities necessitates the development of a model that captures the movement of cyclists. Given the fact that cyclists exert effort for their motion, the theory of effort minimization can be adopted from the micro-economic theory of subjective utility maximization. Also, due to their size and flexibility, close interactions between cyclists are possible, which can be resolved by solving a differential game. This solution determines the optimal control strategy of a cyclist and is, hence, a microscopic cycling model. In this paper we explain the derivation of such a model. Moreover, we demonstrate its plausibility by interpreting the derived equations and face validating the model. The results indicate the need to consider traffic rules and to collect bicycle trajectory data.
This research was supported by the ALLEGRO project (no. 669792), which is financed by the European Research Council and Amsterdam Institute for Advanced Metropolitan Solutions.
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