Question: Is there a game that lets players buy and manage real-world properties, and compete against others?

If you want a game where you can buy and manage real-world properties, Reality is another good example. This mobile gaming platform uses real-world data, geolocation and augmented reality (AR) technology to build games that are more immersive. One of its most interesting examples is a property management game called Landlord that lets you buy and sell properties and compete with other players in a simulated real estate market. The game assigns values to properties based on economic indicators, popularity and location scores, so it's got a lot of the complexity and immediacy of the real world.

Another example is Parcl, a service that monitors and trades real estate markets around the world. Parcl collects more than 100 million data points each day to monitor the real-world property market. You can buy and sell city indexes that let you invest in the real estate market of an entire city without having to worry about individual properties. It's geared for people who want to trade and learn about real estate without having to get their hands dirty with individual property management.