This paper characterizes and compares the optimal and the strategic behaviour of two countries or firms that minimize costs facing emission standards. Emission standards can be reached through emission reduction, banking or borrowing, and emission trading in a given and fixed planning horizon. Our model extends the existing theoretical models in this area of research in two directions mainly. First, we revisit the model proposed by Rubin (1996) to introduce and study the impacts of transaction costs in tradeable emission markets. Second, we extend Stavins' (1995) work from a static to a dynamic setting. We analyze the case with and without transaction costs and the case with and without discount rate. We characterize solutions and equilibria in each case and, depending on the initial allocation, characterize the buyer and seller in the emission trading market. Our main findings extend Rubin's paper proving that agents equilibrium is not efficient when transaction cost are positive and expand Stavins' results to a dynamic framework.