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In this paper we examine sorting on the assumption that we do not know inadvance which way to sort a sequence of numbers and we set at work simple localcomparison and swap operators whose repeating application ends up in sortedsequences. These are the basic elements of Emerge-Sort, our approach toself-organizing sorting, which we then validate experimentally across a rangeof samples. Observing an O(n2) run-time behaviour, we note that the n/logndelay coefficient that differentiates Emerge-Sort from the classical comparisonbased algorithms is an instantiation of the price of anarchy we pay for notimposing a sorting order and for letting that order emerge through the localinteractions.

Emerge-Sort: Converging to Ordered Sequences by Simple Local Operators