It actually doesn't matter what the values are, because we know from prospect theory that people's preferences about risks can be reversed merely by framing gains as losses, or vice versa. No matter what shape the function has, it has to have some shape — it can't have one shape if you frame alternatives as gains but a different, opposite shape if you frame them as losses.
Yes, framing effects are irrational, I agree. I'm saying that the mere existence of risk aversion with respect to something does not demonstrate the presence of framing effects or any other kind of irrationality (departure from the VNM axioms).
"No, in fact, you have no such preference. You only think you do, because your are envisioning your utility function incorrectly."
That would be one way of describing my objection. The argument Dawes is making is simply not valid. He says "Suppose my utility function is X. Then my intuition says that I prefer certain distributions over X that have the same expected value. Therefore my utility function is not X, and in fact I have no utility function." There are two complementary ways this argument may break:
If you take as a premise that the function X is actually your utility function (ie. "assuming I have a utility function, let X be that function") then you have no license to apply your intuition to derive preferences over various distributions over the values of X. Your intuition has no facilities for judging meaningless numbers that have only abstract mathematical reasoning tying them to your actual preferences. If you try to shoehorn the abstract constructed utility function X into your intuition by imagining that X represents "money" or "lives saved" or "amount of something nice" you are making a logical error.
On the other hand, if you start by applying your intuition to something it understands (such as "money" or "amount of nice things") you can certainly say "I am risk averse with respect to X", but you have not shown that X is your utility function, so there's no license to conclude "I (it is rational for me to) violate the VNM axioms".
Are you able to conceive of a utility function, or even a preference ordering, that does not give rise to this sort of preference over distributions? Even in rough terms? If so, I would like to hear it!
No, but that doesn't mean such a thing does not exist!
Yes, framing effects are irrational, I agree. I'm saying that the mere existence of risk aversion with respect to something does not demonstrate the presence of framing effects or any other kind of irrationality (departure from the VNM axioms).
Well, now, hold on. Dawes is not actually saying that (and neither am I)! The claim is not "risk aversion demonstrates that there's a framing effect going on (which is clearly irrational, and not just in the 'violates VNM axioms' sense)". The point is that risk aversion (at least, risk aversion construed...
It's been claimed that increasing rationality increases effective altruism. I think that this is true, but the effect size is unclear to me, so it seems worth exploring how strong the evidence for it is. I've offered some general considerations below, followed by a description of my own experience. I'd very much welcome thoughts on the effect that rationality has had on your own altruistic activities (and any other relevant thoughts).
The 2013 LW Survey found that 28.6% of respondents identified as effective altruists. This rate is much higher than the rate in the general population (even after controlling for intelligence), and because LW is distinguished by virtue of being a community focused on rationality, one might be led to the conclusion that increasing rationality increases effective altruism. But there are a number of possible confounding factors:
So it's helpful to look beyond the observed correlation and think about the hypothetical causal pathways between increased rationality and increased effective altruism.
The above claim can be broken into several subclaims (any or all of which may be intended):
Claim 1: When people are more rational, they're more likely to pick their altruistic endeavors that they engage in with a view toward maximizing utilitarian expected value.
Claim 2: When people are more rational, they're more likely to succeed in their altruistic endeavors.
Claim 3: Being more rational strengthens people's altruistic motivation.
Claim 1: "When people are more rational, they're more likely to pick their altruistic endeavors that they engage in with a view toward maximizing utilitarian expected value."
Some elements of effective altruism thinking are:
Claim 2: "When people are more rational, they're more likely to succeed in their altruistic endeavors."
If "rationality" is taken to be "instrumental rationality" then this is tautologically true, so the relevant sense of "rationality" here is "epistemic."
Claim 3: "Being more rational strengthens people's altruistic motivation."
Putting it all together
The considerations above point in the direction of increased rationality of a population only slightly (if at all?) increasing the effective altruism at the 50th percentile of the population, but increasing the effective altruism at higher percentiles more, with the skewing becoming more and more extreme the further up one goes. This is in parallel with, e.g. the effect of height on income.
My own experience
In A personal history of involvement with effective altruism I give some relevant autobiographical information. Summarizing and elaborating a bit:
How about you?