Neuman's Italy (Searching for a short story)

Paperback, Golden age science fiction.

In this story, long-term sleep is fully developed and an integral part of society. The more important or wealthier a person is, the longer they can afford to sleep at a time. This created a world of stability with world leaders spending as much as a decade asleep per day awake. All the way down to the lowest level people who merely could live day to day.

The protagonist of this story is a day-to-day person who gets involved in the long game. A civilization game where players take on the role of world leaders. By this game, he lifts himself out of the slums and into the elites of society.

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Spoiler Version (Long, because I can type most of it from memory):

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