I went to a "smart athletic people's conference" and we played some games. Of course, the "smart" side of it meant that some of the games should be "heady" games. So, I included a game theory game:
You sell beer. You have one competitor who also sells beer. Each day you and your competitor have two choices for your price that day: a high price or a low price. There are four possible outcomes:
The numbers represent the profit you make that day in the order of (Your Profit, Competitor Profit). So, if you both choose "low" then the result is "1,1" meaning you each get 1. If you choose low and the competitor chooses high then you will get 3 and he will get 0.
Note that the game is symmetrical: "you" and "competitor" can be flipped and the results are the same.
How we will play the game:
Everyone will get two small cards - one that says "high" and one that says "low". We will play until this program tells us to "quit":
limit = 0
loop = 1
while loop == 1:
again = random.randint(0,100)
if again > limit:
print "play again"
loop = input("time for next round? 1 or 0: ")
print "%d rounds, quit now!" % (limit)
loop = 0
I ran this program several times and got results between 3 and 27 rounds. It could theoretically go about 100 rounds, but that's pretty unlikely.
Your score: the sum of the results from each round. For example, if you and your competitor both chose low every time and the game lasted 3 rounds your scores would both be 3.