Pigeons were trained to choose between colored lights (A, B, C, and D), flrst in a two-pair ambiguouscue problem (A+B-, B+C-), and then, with all colors nondifferentially reinforced, in a three-pair loop problem (A+B-, B+C-, C+A-) followed by a four-pair loop problem (A+B-, B+D-, D+C-, C+A-).Systematic efforts were made to simulate the data with a variety of models incorporating one 01:another of three conceptions of stimulus compounding prominent in the literature on compound conditioning. One conception is that the components of a compound stimulus are altered by interaction; the second is that they are not altered, but only supplemented with a new (compound-unique) component generated in the interaction; and the third is that the components entirely disappear in a conflgurational transformation. The ambiguous-cue data could be simulated accurately with each of the models, but the loop data with none ofthem. A convincing explanation ofperformance in loop problems remains to be found.