In words, if the carrier decides to search, it pays the per period search cost c si ; with probability λ s i G ijit meets a customer heading to destination j, in which case it accepts to match if and only if its value,inclusive of the price τ ij , is higher than its outside option, U si , otherwise it receives the outside option Usi .With probability 1−λ si , the carrier does not meet a customer and receives the value of being unmatched.If the carrier remains inactive, it obtains a flow payoff of zero and restarts the following period at thesame location.