How to make decisions in a competitive environment?

When we fight for limited common resources, our decisions will shape opponents’ responses and vice versa. What does mathematics have to say about such situations?
Honesty is the best policy

How purposeful design can make school choice assignment strategy-proof
Trust and other wonderful mistakes humans make

Trust is required when we buy a used car from a personal connection or via-via. When we vote for a politician we trust that they will act in our favour. In this article we will explore how Game Theory is used in attempts to model trust and cooperation.
No winner without a second place

When you browse the internet a lot of websites show you banners with advertisements. And if you reload the page some new flashy advertisement pops up in the same place. Did you know that while your web page is loading an auction takes place?