Dissapearing cities

Have you ever heard of dissapearing cities? Well, lets focus on this topic which seems to be a problem worldwide.
By dissapearing cities, here, I mean those small towns which are losing their population as a result of migration to the large cities.
According to Michael Donovan (as published by The Japan Journal), some towns are to be wiped off the map of Japan officially. Examples are Nishiki and Yamatsuri both located in Kyushu island. Young residents escape for life in the big cities, and the towns, unable to sustain their annual budget, will cease officially.
So, is there any solution to save these towns? Sure there is. In Yamatsuri , for example, an incentive program is launched in order to reverse the decline by offering a cash award (worth about 9600 US$) to each female resident who has a third child. The eligible women must have lived in Yamatsuri for more than a year and payments are made in installments until the child reaches the age of eleven (These are to avoid problems and discourage people who look for a million yen overnight).
So, here is the point I'd like to emphasis: The solution offered by the local authorities, mentioned above, seems to be applicable to any country, territory, whatsoever as it has less expenses compared to the long-term detrimental results of migrations. What do you think?