If the population has 'no incentive to find it', then how do you explain Norway?. Why is France currently more productive (per hour worked) than the US?
The problem with some government programs is that they become distorted by legalized bribery? When an Amtrak line exists from Chicago to Philadelphia, then why must a Chicago traveler pass through Washington DC? Legalized bribery wanted Amtrak to operate in WV.
Three nuclear power plants had a potential Three Mile Island problem. Two shutdown for repairs. The third (in Toledo OH) remained operational. Amazing what a $450,000 fund raiser for Bush Cheney can do. Later a hole was discovered in that plant's 6 inch containment vessel. No problem. Nobody died. Therefore there was no corruption?
Appreciate that government programs do sometimes work as good, sometimes better, than private sector. But the question being asked is about getting best results for the buck (quid). Some countries that pay more taxes and get more services do have better standards of living. But this is really more about who top management is. A politician routinely bribed by campaign contributions or a corporate executive in collusion with his competition (or with no competition). That says far more about 'incentives'; why some private sector and public sector solutions don't work.
D> The problem is when the government gives support and opportunity