In response to Derek's comment, here is a bit more show and tell on chained dots, rows of dots, stacked bars and rows of bars.
Chained dots and stacked bars require a legend. The rows of dots or bars permit a more efficient labeling. Rows of bars do require a scale but this object is more scalable than rows of dots; imagine longer and longer rows of dots. With bars, we just adjust the scale.
Chaining and stacking makes it easier to compare total prizes as opposed to individual prizes. So it depends on which comparisons we want to emphasize. My interest in this map happens to be league-table style comparisons, and because these prizes (aside from the Nobel) are so specific to a field, knowing the distribution across fields is important too.
Chicago is indeed a curious omission; is it possible they are not counting Economics Nobels?