Yeah, most people want that. The problem is that once you start intervening in the market, further intervention follows suit. If one problem with the market are solved by the government and not by free will and enterprise, people will turn to the government to solve the next problem as well. This is bad, as a government solution per se implies coercion, while the free market solution would be voluntary and beneficial to all parties (in that logically all voluntary transactions are beneficial to both trading parties).
This may seem a little complicated, but it can be explained rather easily. If the government intervenes to improve the economic position of a certain group in society - the poor for instance, it will do so, if it can find a majority to support it and a minority to pay for it. Consequently taxes will increase and a welfare programme will be started. The people who pay for this welfare programme now pay more in taxes. Where will they turn if they themselves need to solve some economic problem? The government of course. They will find some initiative for which they can get a majority to suppport, and get another minority to pay for. Consequently another government intervention follows and taxes rise. Of course, as this happens more, more people will be affected and the effect of this vicious circle intensify. Now, the same function applies to other kinds of intervention - the splitting up of monopolies for instance. If consumers expect the government to get rid of a monopoly for them, what are the chances of them trying to solve the problem themselves.
So, government solutions bring further government solutions. When there's a problem, ask the government, and it'll solve the problem for you. As this continues, people will find it harder to find any other solutions than those potentially provided by the government. People's attitudes change and they become inactive as they lose incentive to improve their own situation. The government becomes increasingly active.
That's just one of the reasons why the government always grows in size and oppressiveness. The bribery effect of welfare programmes is another. Another is the basic fact that politicians are per definition people who want to make decisions - even decisions that have nothing to do with themselves, and thus they will want their reach to grow, so they can solve more of the problems of us citizens of little knowledge.
That's happened in every single country on earth. Then, when reality strikes, the economy can suddenly collapse, and some countries have to alter their systems fundamentally. That happened in the Soviet Union, that happened in New Zealand, and that'll happen some day in Denmark and the rest of socialist Europe. The demographic problems, the migration problems and all that are symptomes of the upcoming collapse. We will have to rethink our economic systems fundamentally, and if we return to the roots of our Western civilisation and prosperity - the free will, enterprise, market, and individual responsibility, that is - then we will prosper once again. Whether we will have learned from our mistakes is doubtful. The same development will probably follow, but there will be some time of freedom. NZ is already heading down the same road they did until 1973 (the EU enlargement that included the UK and therefore forced NZ to liberalise her economy substantially) and the US, even though it was founded on principles of small government and freedom is heading the same way with constantly growing government.
In Denmark, there is a corporation that holds monopoly on milk production. Now, recently this company tried to increase prices substantially, and people were enraged. They wanted government intervention to split the monopoly "and give consumers a choice". Nothing happened on the market, people continued to buy the same milk as always, expecting the politicians to solve the problem. But the government said no, and refused to act, resulting in unpopularity and discontent among the voters. But then something happened. The consumers realised that they would have to solve the problem themselves, and suddenly all kinds of other dairy producers arose and took large market shares from the monopoly, forcing the monopoly to actually apologise and lower prices. Since, the monopoly has been broken - the company is still dominant, but it is not alone.
That reveals the true nature of a free market monopoly. It exists as long as the consumers want it - ie. they buy the products. If they want something else and are willing to act, alternatives will arise. Thus the monopoly cannot be exploited. There you see the difference between private enterprise solving a problem and government coercion doing it. This was just one example - in general when consumers in Denmark have a problem, legislation follows. Why the government drew a line in the sand in this particular case puzzles me. But you see, if individuals need to solve a problem and can only rely on themselves to do it, they will get it done. Voluntarily.