The logsum formula, which provides the expected maximum utility for the multinomial logit model, is often used as a measure of welfare. We provide here a closed form formula of the welfare measure of an individual who has not access to his first-best choice, but has access to his rth-best...

This paper addresses the two-way implication between punctuality level of public transport and commuter behavior. We consider a modal competition between public transport and an alternative mode. Commuters may choose different strategies to minimize their journey cost. In particular, when the...