In this paper non-convexity in economics has been revisited. Shapley-Folkman-Lyapunov theorem has been tested with the asymmetric auctions where bidders follow log-concave probability distributions (non-convex preferences). Ten standard statistical distributions have been used to describe the...

In this paper Myerson-Satterthwaite theorem with asymmetric First price auction (FPA) has been subject of investigation. Bilateral inefficiency trade theorem versus the efficiency of the FPA auctions in which there is supposedly no dominant strategy, where bids are private information, and are...

This essay theoretically investigates symmetric types of auctions and provides simulation for the different types of statistical distributions that bidders follow in order to determine the maximum bid, Expected revenue for the auctioneer, Expected payment by bidders, Expected utility of the...

This paper will review important topics on the subject of auction theory and mechanism design, these include: efficiency first and foremost, also revenue comparison between different types of auctions and the issue of incentive compatibility, individual rationality with the general idea and...