Yes, ∏i∈IAi={(ai)i∈I.∀i∈I.ai∈Ai}, i.e. the cartesian product of a family of sets. Sorry if this wasn’t clear, it’s standard maths notation. I don’t know what the other commenter is saying.
Got it, I misunderstood the semantics of what B(x) was supposed to capture. I thought the elements needed to be mutual best-responses. Thank you for the clarification, I’ve updated my implementation accordingly!
I interpreted it the standard way too initially, but then I had a hunch there was… I dunno, something fishy, and then indeed it turned out @StrivingForLegibility understood it in a completely different way, so somehow it wasn’t clear! Magic.
Yes, ∏i∈IAi={(ai)i∈I.∀i∈I.ai∈Ai}, i.e. the cartesian product of a family of sets. Sorry if this wasn’t clear, it’s standard maths notation. I don’t know what the other commenter is saying.
Got it, I misunderstood the semantics of what B(x) was supposed to capture. I thought the elements needed to be mutual best-responses. Thank you for the clarification, I’ve updated my implementation accordingly!
I interpreted it the standard way too initially, but then I had a hunch there was… I dunno, something fishy, and then indeed it turned out @StrivingForLegibility understood it in a completely different way, so somehow it wasn’t clear! Magic.