We study the bargaining problem in the dynamic framework. The classica
l way of solving a dynamic bargaining problem is to transform the exte
nsive form game into the normal form and then apply the theory of barg
aining well developed for normal form games. This means that the parti
es sign a binding contract in the beginning of the game which defines
their actions for the full duration of the game. In this article, we c
onsider the setting where the players monitor the contract as the game
evolves. The main purpose of the article is to study conditions under
which the players do not have a rationale to renegotiate a new contra
ct at any intermediate time period; i.e., the contract is time consist
ent. Time consistency restricts the set of bargaining solutions in dyn
amic games. We will show that time consistency of the contract is guar
anteed if the bargaining solution satisfies the controversial independ
ence-of-irrelevant-alternatives property.