Algorithms and Optimization in Economics Scenarios: from Contracts to Auctions. ;
Nowadays, online platforms dynamically interact with users, adapting their strategies based on customer behavior. As a result, the interest from the scientific community in designing algorithms that maximize revenue in these scenarios has exponentially grown. This thesis aims to study how to design such algorithms, with a particular focus on contract design and auction mechanisms. More specifically, in contract design we study algorithms in which a firm aims at hiring a salesperson in order to sell some products. Differently, in auction settings, we investigate algorithms in which multiple bidders compete to buy some goods, such as the display of their ad in a web page. In these settings, understanding and adaptively changing the auction mechanism or the bidding strategy is paramount to achieving desirable outcomes for the platform or the bidders, respectively.
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