Then just go ahead and do it? I’ve heard this stated several times, that Austrian econ needs to be cast in formal terms. That’s fine. There’s nothing wrong with it given that it’s mere formalisation. I’m not sure if it’d yield any positive returns, but it’d make Austrian econ more elegant if it succeeded. But either you or someone else interested in doing so should actually carry the task out then. There’s others on here who’ve expressed an interest in so doing, so get in touch with them and get on to it.
Suppose an agent’s options are restricted to a, b, and c, with a>b>c, ‘>’ being a preference relation for the agent.
Suppose further that c>a. Without loss of generality, let the agent choose b, meaning that he prefers b to the other two (which is how action is defined). This contradicts the premise that a>b, since preference is anti-symmetric.
I don’t see what the problem is. Besides for the fact that transitive modeling is possible, the point of modeling isn’t to describe an individuals preferences but the outcome of many people with different preferences.
Arrow’s impossibility theorem and the Pareto efficiency has some of this.
this just shows that at time 1, you demonstrated a preferrence for eating over any other course of action(which may have included drinking and sleeping options..)
at time 2, you demonstrated a preference to sleeping over any other course (i.e. drinking, or eating, etc)
did i say it was? but then im sure i dont quite know what you mean when you say ‘human action can be modeled’, particularly if you think mathematical form would be superior to linguistic form
Um, what my proof demonstated is that preference is necessarily transitive.
Well, since krazy kaju made a (false) assertion about individual preference, to which scineram responded with a correction, to which you posted a comment expressing uncertainty about his claim, I thought that I would explain plainly (at least I thought I was being plain, until I read yours and MatthewF’s responses) scineram’s claim, which, you know, kinda necessitates that I stay on the sub-topic the three of you had established, viz. individual preference. Make sense?
The problem here is that this is exactly what ecoli had said. rolls eyes
Technically, preference is an ordering on the subjective valuations of predicted outcomes resulting from possible actions. If this ordering is cyclic then there is no most preferred outcome, which implies there can be no action.