Peter --

You wrote -- "On the contrary, if rational behavior is defined,
following Aristotle, as behavior for which an actor is able to provide
reasons when questioned, then I should think this definition is quite
operational.  The definition says nothing about the nature, adequacy,
optimality, or other properties of the reasons given or of the
action-option selected, only that reasons can be provided."

Many economists don't find "that reasons can be provided" as
operational. After all, I may say "I heard a voice tell me to do that"
and who can deny that I didn't?

What is operational is whether a decision theory can predict the
action events, not on whether it can predict unobservable
rationalizations.


Bob.

-----Original Message-----
From: Peter McBurney [mailto:[EMAIL PROTECTED]
Sent: Tuesday, August 19, 2003 9:07 AM
To: Welch, Robert
Cc: [EMAIL PROTECTED]
Subject: Re: [UAI] Allais' paradox


Bob --

>  "Rational" has always meant to me that a decision maker has
> preferences over the set of possible choices or outcomes and acts
> according to his preferences.  >Whether those preferences are
> representable by a utility or expected utility is another matter.
> Rational could also be defined in terms of revealed preference: Can
> one use observations of a decision maker's actions and deduce that
> his actions are consistent >with acting in accordance with a
> preference relation.

Your statements examplify my point:  neither of these definitions of 
"rational" accord with the usage of the word in the philosophy of 
argumentation, usage which goes back at least to Aristotle.


> I see little evidence or need to identify "rational" with the
>reparability of preferences into beliefs and utility of outcomes. But
>operationally, we need some restrictions on "preference relation" to
>have a meaningful testable theory.  Thus we may posit some
>consistency (transitivity) and some other meaningful axioms.
>Otherwise Aristotle's definition is no more meaningful than
>Lange's. If there were no paradoxes in the development of the axioms
>of these utility theories, the resulting theories would be just as
>vacuous.

On the contrary, if rational behaviour is defined, following Aristotle, 
as behaviour for which an actor is able to provide reasons when 
questioned, then I should think this definition is quite operational. 
The definition says nothing about the nature, adequacy, optimality, or 
other properties of the reasons given or of the action-option selected, 
only that reasons can be provided.

My point was not that such a definition leads to a better theory of 
decision-making than MEU (although it may do).  My point was that 
economists and decision-theorists had taken a particular word and given 
it a different meaning.  One has to wonder why they did this.  A 
sociologist of economics might say the answer to this question is seen 
when certain behaviour is labelled as "irrational".


>  Arrow's social choice theory is a much stronger refutation of a
> theory than a couple of curious paradoxes that lack universal
> appeal. He shows >the inconsistency of a set of reasonable
> axioms. So far, at least, such a refutation of individual decision
> theory has not been forthcoming.

I made no comment on Arrow's social choice theory itself.  I only noted 
that he uses the word "rational" to refer to a particular ordering of 
action-options, rather than to the giving of reasons for actions.


-- Peter

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