Future notes:
All expts reported here are from pairs of participants who played 40 rounds of a game-theory type game. At the start, each pair had 3 minutes of free chat, and then played the game. In exp 1, pairs were assigned to either all-PD or all-BoS games crossed with either access to the chat during the game or not.
In exp 2, all pairs played a random mix of PD and BoS rounds with or without access to the chat.
The exact payoffs of each round were determined randomly.
Throughout, I split up the results of the mixed games by which type to compare to the pure games. Thus, while 6 game conditions were run, 8 conditions are discussed.
## # A tibble: 6 x 3
## # Groups: game_cond [3]
## game_cond chat_cond n
## <chr> <chr> <int>
## 1 BoS chat 19
## 2 BoS nochat 16
## 3 mix chat 16
## 4 mix nochat 20
## 5 PD chat 17
## 6 PD nochat 17
To compare overall performance across these conditions, we can look at the average payoff for each player. Here we split the results of the mixed games by which game (PD or BoS).
PD performance appears constant across games and chat conditions. BoS performance benefits from having a chat in pure and mixed games.
We hope that players use the pre-chat to communicate with each other and convince themselves that the other person is a human. All games are the same at this point, so we don’t expect differential amounts of talk.
This is raw chat, so it’s unclear if these are referential expressions or chit chat or what.
People in pure PD games are less likely to talk than those on BoS or mixed games. Amount of talking seems to decline over rounds.
Because many of the talkings are short, we also binarize and look at whether any chat was produced in a given round.
Mixed games seem to fall in between the talking amounts of the pure games.
We look at how many rounds had non-zero chat (of those with the option to chat) compared to mean payoff. There’s some serious sparsity, but it looks like talking helps for BoS.
Rather than collapsing over outcome (which has some randomness), we can look at per-round, which quadrant in the game people chose.
In BoS: P1 prefers AA to BB, P2 prefers BB to AA. AB and BA are bad for both.
In PD: P1 prefers BA > AA > BB > AB and P2 prefers AB > AA > BB > BA. (BB is Nash equilibrium, AA is Pareto dominant.)
This is a lot of cells, so we break up the graphs into whether chat was unavailable, used, or not-used. Blue lines are at 25% indicating chance from random or uncoordinated clicking.