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Throughout these pages we present a brief introduction to the main concepts and results of Auction Theory, an applied branch of Game Theory that has a theoretical structure worthy of explanation.
Page 1) Why Auctions?
Page 3) The Dutch and First-price sealed bid auctions (2-5.org and affiliates use it)
The material is divided in four pages.
In page 1 we explain why auctions are worthy and list the main assumptions we will make in the subsequent pages from a game-theoretical point of view. There exist four main kinds of auctions: the English auction, the Dutch auction, the first-price sealed-bid auction and the second-price sealed-bid or Vickrey's auction (essentially equivalent to eBay's auction style).
In page 2 we will describe the English auction (the most common type of auction) and the second-price sealed-bid or Vickrey's auction establishing the relationship between the two.
In page 3 we will describe and establish the relationship between the Dutch and first-price sealed-bid auctions.
Finally, page 4 will be devoted to the statement of the celebrated Revenue Equivalence Theorem and the exposition of some more general models in which the assumptions listed in page 1 do not necessarily hold.