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The Adwords problem has always been an interesting internet advertisingproblem. There are many ways to solve the Adwords problem with the adversarialorder model, including the Greedy Algorithm, the Balance Algorithm, and theScale-bid Algorithm, which is also known as MSVV. In this survey, I will reviewthe Adwords problem with different input models under a primal-dual setting,and with the small-bid assumption. In the first section, I will focus onAdwords with adversarial order model, and use duality to prove the efficiencyof the Greedy Algorithm and the MSVV algorithm. Next, I will look at aprimal-dual training-based algorithm for the Adwords problem with the IIDmodel.

A Survey of Adwords Problem With Small Bids In a Primal-dual Setting: Greedy Algorithm, Ranking Algorithm and Primal-dual Training-based Algorithm