It's not really a subset, it's more like an intersection. But to your example - I will be long time happy with social (in)equality before we get to 1% differen

It's not really a subset, it's more like an intersection. But to your example - I will be long time happy with social (in)equality before we get to 1% differences in income. I think in your example Joe absolutely deserves the unhappiness he has. Meanwhile in reality, when I suggest that maybe there should be a limit of personal income/wealth like around 100x the average (which is amount of money I can't imagine reasonable person would know how to spend), I get shooed as crazy pinko full of envy. Yet, is that really envy, or is it just longing for fairness as in the ultimatum game example?