The Demon's Trolley Problem: A Game Theory Puzzle

Check out my books on Amazon (paid link): https://amzn.to/2SiQjlp There's another runaway trolley loose in your town. To make matters worse, a ton of people are tied to the tracks along its path. The good news is that you are at a switch station capable of determining which of three paths the trolley goes down. The bad news is that a demon is at another switch station that determines a different set of paths. Can you figure out how to minimize the casualties?