I'd be very thankful if I could get some advice here, sicne I am running out of ideas.
You might be doing something wrong with the way you're arranging refs. I'll let others comment on that.
One observation, though: parallelization doesn't always help. pmap runs your tasks on several threads. If your tasks are compute-bound and modifying a shared resource, you'll probably see a net slowdown thanks to coordination overhead, cache trampling, and contention.
Imagine the worst case, where you have 1 or 2 processors (and thus pmap uses three or four threads), and each of the four threads takes a turn, contends for the same ref, maybe swaps out, makes a conflicting change and causes a transaction rerun, swaps out...
Running serially removes both the risk of contention and the coordination overhead.
In general: use pmap if you have a lot of processors that you want to use, or you're doing tasks that spend a lot of time waiting around (e.g., web crawling). For pure computation on small datasets and desktop quantities of processors -- like munging game state -- it's probably not worthwhile.
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