Does 次の always indicate a temporal relationship? > **** > Additionally, this year, director 's 'In the Corner of this World' received the Judges Prize, which is ??? Does mean the prize which is awarded after the Crystal prize, or the prize which is second best to the Crystal prize? When I first read the sentence I thought it meant the second best prize, but then I started to worry that might only describe a temporal relationship.

I agree with you; it's theoretically ambiguous, but I also read this as the second best prize after Crystal Prize.

For example one can say:

> *
> What's the next highest mountain in Japan after Mt. Fuji?
> *
> Let me see the next cheapest one.
>