A point of terminology: "utility function" usually refers to a function that maps things (in our case, outcomes) to utilities. (Some dimension, or else some set, of things on the x-axis; utility on the y-axis.) Here, we instead are mapping utility to frequency, or more precisely, outcomes (arranged — ranked and grouped — along the x-axis by their utility) to the frequency (or, equivalently, probability) of the outcomes' occurrence. (Utility on the x-axis, frequency on the y-axis.) The term for this sort of graph is "distribution" (or more fully, "frequency [or probability] distribution over utility of outcomes").
To the rest of your comment, I'm afraid I will have to postpone my full reply; but off the top of my head, I suspect the conceptual mismatch here stems from saying that the curves are meant to "quantify betterness". It seems to me (again, from only brief consideration) that this is a confused notion. I think your best bet would be to try taking the curves as literally as possible, attempting no reformulation on any basis of what you think they are "supposed" to say, and proceed from there.
I will reply more fully when I have time.
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?