In one version of Flip Flop, each of an odd number of players simply flips a coin. The majority result, heads or tails, pays the casino $1 each while the minority result gets paid $2 each. Based on these rules, I worked out Kory's tables for 3, 5, 7 and 9 players.
The results show that the player's expectation changes according to how many players there are. For example, if there are 3 players then the long-term odds are that each game costs each player 25 cents. If there are 5 players, the average cost goes down to 6.3 cents per game. If there are 7 players, they make on the average 3.1 cents per game. If there are 9 players they make about 9 cents per game. It isn't clear to me why this should be so. Norman ----- Original Message ----- From: "Kory Heath" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Sunday, October 10, 2004 5:32 PM Subject: Re: observation selection effects At 07:17 PM 10/10/2004, Kory Heath wrote: >We can also consider the variant in which the Winning Flip is determined >after people decide whether or not to switch. In a follow-up to my own post, I should point out that your winning chances in this game depend on how your opponents are playing. If all of your opponents are playing randomly, then you have a negative expectation no matter what you do. If your opponents are not playing randomly, then you may be able to exploit patterns in their play to generate a positive expectation. -- Kory
