Re: Game Theory Games
Posted: Sat Aug 10, 2019 5:05 am
If my instructions for country selection were not entirely clear, here is an example:
Alice submits this list: FTGIEAR
Bob submits this list: TGEFIAR
Caroline submits this list: FIGAETR
David submits this list: FTEIARG
Edward submits this list: TGEFIAR
Fiona submits this list: GITFAER
Greg submits this list: TIEGAFR
In the first round, Fiona is the only person to have submitted Germany, and she is awarded Germany. There are three way ties for France and for Turkey, so those countries are randomly selected. Bob is randomly selected for Turkey, and David is randomly selected for France.
In the second round, 4 players remain. Alice, who chose Turkey 2nd, is bumped to the third round, since Turkey is already assigned to Bob. Edward, who chose Germany 2nd (which is already assigned to Fiona) is also bumped. Caroline and Greg both chose Italy as their second option, and it is still up for grabs. Italy is given to one of the two of them randomly. Greg wins the coin toss and gets Italy.
In the third round, there are just 3 players remaining. Alice and Caroline both picked Germany third, so they get bumped to the 4th round (since Germany was already snagged by Fiona). Edward, on the other hand, picked England third, and so he gets assigned England.
In the fourth round, Alice picked Italy, and so she is bumped to round 5. Caroline picked Austria though, so she is awarded Austria.
Since Alice is the only player remaining, she is assigned the last country - Russia!
This means that Alice only has a 3% chance of winning, while David has a 30% chance. Had Alice been selected to play France in round 1 though, she would have had the 30% chance, and David could have ended up with the 3% chance.
Alice submits this list: FTGIEAR
Bob submits this list: TGEFIAR
Caroline submits this list: FIGAETR
David submits this list: FTEIARG
Edward submits this list: TGEFIAR
Fiona submits this list: GITFAER
Greg submits this list: TIEGAFR
In the first round, Fiona is the only person to have submitted Germany, and she is awarded Germany. There are three way ties for France and for Turkey, so those countries are randomly selected. Bob is randomly selected for Turkey, and David is randomly selected for France.
In the second round, 4 players remain. Alice, who chose Turkey 2nd, is bumped to the third round, since Turkey is already assigned to Bob. Edward, who chose Germany 2nd (which is already assigned to Fiona) is also bumped. Caroline and Greg both chose Italy as their second option, and it is still up for grabs. Italy is given to one of the two of them randomly. Greg wins the coin toss and gets Italy.
In the third round, there are just 3 players remaining. Alice and Caroline both picked Germany third, so they get bumped to the 4th round (since Germany was already snagged by Fiona). Edward, on the other hand, picked England third, and so he gets assigned England.
In the fourth round, Alice picked Italy, and so she is bumped to round 5. Caroline picked Austria though, so she is awarded Austria.
Since Alice is the only player remaining, she is assigned the last country - Russia!
This means that Alice only has a 3% chance of winning, while David has a 30% chance. Had Alice been selected to play France in round 1 though, she would have had the 30% chance, and David could have ended up with the 3% chance.