Dynamic Models of Competition between Transportation Modes

Abstract
We present a methodology to study the choice of transportation mode. It is dynamic and allows inherent fluctuations in individual behavior to play a role. The methodology has a deterministic aspect which yields the time evolution of the number of users for a transportation mode and it is based on certain assumptions about the attractivities of each mode, but it is always subject to fluctuations in human behavior. The problem then is to find the solutions of the deterministic equations describing the system and to examine the evolutionary path the system will take. Two models of competition between transportation-mode choice are developed to illustrate the methodology and to justify the dynamic approach to travel choice.

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