This thesis is a collection of three stand-alone essays. The first essay, Modelling the Maker-Taker Pricing in Financial Markets, investigates the trading fees charged by stock exchanges to brokers. In particular, it studies the maker-taker pricing structure which is a form of second degree price discrimination. This is a theoretical work which develops a model of a limit order book with a closed-form solution that proxies a modern electronic trading platform. The model builds on the current literature by introducing competition among exchanges and allowing depth to build, thus providing predictions for market quality (spread, depth, and volume) and trading activity (limit and market orders) following a change in the trading fees. Maker-ta...