Repeated battle of the sexes
Instructions
You are again playing the
Battle of the Sexes game. You both have two options A and B. If you both
choose the same option, you will receive nothing. However, if one chooses
A and the other B, then the former gets 2 points and the latter receives
1 point. This time the game is repeated. More precisely, after each round
a dice will be rolled. If it shows 6, the game is stopped. If not,
there is another round.
Evaluations
Number of players: 26 (13 games)
Mean points: 5.42 ± 2.78
Time evolution of mean payoff and preference
for A:
Notes
-
The game was actually played for a fixed number of six rounds.
-
Maximal payoff achieved: 9 points each
-
Minimal payoff achieved: 1 and 2 points respectively
-
Preference for A in first round: 58% - without repetition it was 82%
-
7 out of 13 games (53.8%) scored points in the first round -
without repetition only 4 out of 11 (36.4%).
-
No player was ever allowed to get away with 2 points in consecutive rounds
-
The small changes of the mean payoff indicate that similar numbers
of games lose and achieve synchronization.
-
Rounds to synchronize:
|
Rounds
|
Count
|
|
0
|
7
|
|
1
|
3
|
|
2
|
1
|
|
3
|
1
|
|
4
|
0
|
|
5
|
1
|
|
6
|
0
|
-
An amazingly large number of games start synchronized (53.8%).
-
3 BB pairings occurred, indicating severe synchronization difficulties.
Written by Christoph Hauert