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‘somebody team reasons if she works out the best possible feasible combination of actions for all the members of her team, then does her part in it.’
Bacharach (2006, p. 121)
Player X | |||
high | low | ||
Player Y | high | 2 2 | 0 0 |
low | 0 0 | 1 1 |
What should X do?
Game theory:
If X expects Y to choose high, X should choose high
If X expects Y to choose low, X should choose low
What X expects depends on what Y expects X to do ...
... -> X has no reason to prefer high over low.
Team reasoning:
...
hi-lo situations are pervasive in everyday life
(Bacharach, 2006, p. Chapter 1.1)
‘It seems quite obvious that you should choose [high].
However, the question is why it seems obvious,
and [...] why people almost always do choose [high].
(Bacharach, 2006, p. 35)
[...] The answer I shall offer has far-reaching implications for [...] our conception of ourselves as social beings.’
‘it seems obvious that ‘high’ is the rational choice [...]. Apparently, something is missing from the standard theory of rational choice. But what?’
(Sugden, 2000, p. 182)
‘somebody team reasons if she works out the best possible feasible combination of actions for all the members of her team, then does her part in it.’
Bacharach (2006, p. 121)
‘[A] team exists to the extent that its members take themselves to be members of it.
[T]o take oneself to be a member of a team is to engage in such reasoning oneself, while holding certain beliefs about the use of such reasoning by others’
Sugden (2000)
‘somebody team reasons if she works out the best possible feasible combination of actions for all the members of her team, then does her part in it.’
Bacharach (2006, p. 121)
best = maximises expected utility, but ...
game theory | team reasoning | |
what is appraised? | my actions | sets of our actions |
what is the standard of appraisal? | my preferences | team-directed preferences |
‘At the level of the team, team preference is a ranking of outcomes which is revealed in the team's decisions.’
(Sugden, 2000)
Player X | |||
high | low | ||
Player Y | high | 2 2 | 0 0 |
low | 0 0 | 1 1 |
What does team reasoning predict?
– depends on who is in a team
– depends on team-directed preferences
(which need not be a function of individual preferences)
– depends on how the situation is framed
consequence: autonomy
‘There is ... nothing inherently inconsistent in the possibility that every member of the group has an individual preference for y over x (say, each prefers wine bars to pubs) while the group acts on an objective that ranks x above y.’
Sugden (2000)
relevance to the ‘hi-lo’ questions?
Player X | |||
high | low | ||
Player Y | high | 2 2 | 0 0 |
low | 0 0 | 1 1 |
‘One of the salient features of [team] reasoning is that it generates recommendations for action that are not conditional on the actor's beliefs about what the other individuals will do.
‘In this respect, team-directed reasoning is quite different from the strategic reasoning that is modelled in conventional game theory.’
(Sugden, 2000, p. 191)
relevance to prisoners’ dilemma?
Prisoner X | |||
resist | confess | ||
Prisoner 59640 | resist | 3 3 | 0 4 |
confess | 4 0 | 1 1 |
What does team reasoning predict?
short essay question:
What is team reasoning?
Which, if any, social interactions are better modeled by team reasoning than game theory?
plan
1. What is game theory? ✓
1a. What are its applications? ✓
2. What are some limits on its applications? ✓
3. What is team reasoning and how might it overcome the limits? ✓