Game 1 thoughts: If you do the math, your expected value is maximized by putting in as many tickets as the other players combined (capped at 20 if they've put in more, and obviously you still need 1 if they put in zero.) For example, if they put in two tickets between them for the $100 round, you could put in one and have a 1/3 chance of winning $33.33 (expected value=$11.11), two to have a 2/4 chance of winning $25(expected value=$12.50), or three and have a 3/5 chance of winning $20(expected value=$12). The way it works out is similar for every value, from a quick spreadsheet. <br><br>Also, I feel like it would have been wise to put a bunch of pennies in each box up front so that splits which aren't even dollars would be disguised. The noise could easily give it away otherwise.<br><br>Game 2 thoughts: I wonder what would have happened had somebody offered more money than the $500 that the game had in order to secure the win. "I'll give you each $200 in total if you let my 5 win, the balance payable when I have it." might have been a decent pitch.<br><br>Game 3 thoughts: The people talking about how bad people are at game theory are either performing or merely wrong. You maximize your chance of winning medals by putting in nothing each round.<br><br>Game 4 thoughts: If you deny Mike his medals, he controls the briefcase. If you give him his medals, he controls the briefcase. Give him the medals, because it costs you nothing unless you think you can take control away from him entirely. Which you can't, because he can and will block it.<br><br>Game 5 thoughts: Mike had promised a grand each if he got the case, and I'm surprised he upped the split to 1200 each. But hey, maybe it's different with real money.