Work in the intersection between philosophy and economics – such as the stuff I do – often gets referred to as 'philosophy of economics.' It's a fine term. For one thing, it emphasizes affinities with philosophy of science – the branch of philosophy that examines philosophical problems emerging within the sciences. Many philosophers interested in economics (and economists interested in philosophy) do in fact occupy themselves with such problems. For example, a question such as "Can happiness be scientifically measured?" is properly categorized as philosophy of economics, since it addresses a philosophical problem that emerged within economics – in this case, the economics of well-being.
Yet, the term 'philosophy of economics' when applied to all work in the intersection between philosophy and economics can be misleading. The term suggests that such work is largely derivative – as though philosophers care about topics in that intersection only because economists study them – when in reality philosophical reflection on things like rationality and well-being, wealth and inequality precede the emergence of economics as a scientific discipline by millennia. Aristotle's Nicomachean Ethics, for example, was written around 350 BC and discusses many issues that would now be considered economic in nature – including, of course, the topic of well-being.
In the French-speaking world, the term 'philosophie économique' is not uncommon. The equivalent English construction, 'economic philosophy,' is sometimes used, most famously by Joan Robinson. However, using 'economic' as a modifier suggests that we are talking about a particular kind of philosophy, like analytic or continental – when in reality topics in the intersection between philosophy and economics are open to philosophical inquiry of all kinds. ('Economic' might also sound a little crass.) And both 'philosophy of economics' and 'economic philosophy' suggest that the work in question falls wholly within philosophy – ignoring the fact that as much interesting work in the intersection between philosophy and economics is done by economists and others who do not see themselves as advancing a purely philosophical agenda.
I want to propose instead that we use the term 'philosophical economics' to refer to work in the intersection between philosophy and economics. The analogous term 'philosophical psychology' is already in widespread use. 'Philosophical economics' strikes me as descriptively accurate and suitably inclusive. It suggests that we are talking about economic topics, but in a philosophical manner. Meanwhile, it does not make the enterprise seem derivative and it does not give the impression that the work in question falls wholly within philosophy.
I am not the first to use the term. And I am not saying that we should stop using term such as 'philosophy of economics' when they apply. But 'philosophical economics' is a good one. Let's use it.