The classical Braess’ Paradox was built upon a perfectly rational behavioral assumption. In the literature,many empirical studies have demonstrated that perfect rationality is too restrictive to happen in reality.Recently, a number of transportation network design models have been established by replacing the perfectrationality with bounded rationality, in which an indifference bound is introduced to indicate the upperbound of non-shortest paths that drivers are willing to take. However, the analytical properties of Braess’Paradox under bounded rationality remain unanswered. This paper aims at filling in the gap by exploring therelationships between the occurrence of Braess’ Paradox and the indifference bound in bounded rationality aswell as demand level. We use the classical Braess’ Paradox network to derive these relationships based uponthe worst flow pattern in the bounded rational user equilibria set, since transportation planners generallytend to be risk-averse and attempt to improve the network performance under the worst traffic condition.The unveiled relationships offer a guideline for urban planners to prevent the occurrence of Braess’ Paradox.
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