If I were to criticize the series for inconsistency, my biggest complaint (and this complaint can be directed towards a lot of sci-fi) is the scale. How big is Panem? The book mentions District 12 being a population of 8 thousand. District 11 seems to be similar, and both are in abject poverty. Unless the first districts or the capitol are ginormous, we seem to be talking about a small and poor country.
If the country is small, then an oppressive dictator can effectively rule it in North Korea style. But, if the country is small, where did they get the manpower and manufacturing capacity to produce such amazing technology present in the capitol? Producing a single pencil requires economic input from all over the world. Such high tech only becomes remotely feasible if you factor in global trade, but if globalization is present, surely some people would try to escape Panem and leave for a more sane country? But there is no mention of any other countries or immigration or any sort of global politics. Panem exists in a vaccum.
But this is all standard sci-fi inconsistencies. If you sat down to analyze every great work of sci-fi literature you would find more holes than in swiss cheese.