How to weigh risk against reward in games: when pushing is worth it, when holding back is better, and how position, stakes and variance change the answer.
How game theory applies to lobbies and free-for-all matches: why more players change incentives, how alliances form and break, and what kingmaking means.
How to think several steps ahead in games: modelling what opponents want, working backwards from outcomes, and avoiding the trap of assuming they think like you.
Why randomising between options can be the best choice when opponents adapt, with a worked example showing how payoffs set the mix instead of preference.