Tokyo University has been conducting some research pertaining to Pokemon GO's health benefits. The results of their studies don't have clear information on long-term impact, but they do show that in the short-term, Pokemon GO can give a nice boost to both physical and mental health. Below are some excerpts from the studies.
From the results of the general linear modeling, improvement in psychological distress was significantly greater among Pokémon GO players than among non-players […]
Pokémon GO may be effective for improving psychological distress among workers.
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Researchers from Harvard University have conducted a study which shows that Pokemon GO does increase people's activity levels, but not for long.