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Books 2,3, & 4 of the "Ender's Shadow" series features a large number of geniuses pitted against one another both politically and militarily. It works fairly well (although it's not my favorite of Card's work).
However, in his stories, the geniuses are still the exception rather than the rule. They're viewed as national treasures and a lot of the fun of the story arises from how the (non-genius) governments of various countries choose to utilize or ignore the input of their local Einsteins.
Additionally, even if everyone present is a genius, some will still be more intelligent than others. You'd be raising the average, not eliminating the variability.
However, in his stories, the geniuses are still the exception rather than the rule. They're viewed as national treasures and a lot of the fun of the story arises from how the (non-genius) governments of various countries choose to utilize or ignore the input of their local Einsteins.
Additionally, even if everyone present is a genius, some will still be more intelligent than others. You'd be raising the average, not eliminating the variability.