In The Worldly Philosophers, Robert Heilbroner tells us that all the great economists foresaw a time when capitalism would come to an end. In Stabilizing an Unstable Economy (1986), Hyman Minsky outlines an agenda for ending capitalism as we've know it (what Heilbroner called "Capitalism as a Regime" in Behind the Veil of Economics). Minsky suggests that we replace laissez-faire capitalism (Wiki link) with a less-flawed version of Capitalism that allows for much better automatic stabilizers than found in our current system.
Minsky, following his reading of Keynes, tells us that modern financial institutions (with inherent tendencies toward monopoly) inevitably will turn into predators on other economic subsystems. Minsky also tells us that most economic theories, with emphasis on "equilibrium" while allowing only for occasional shocks to the system, are ill-equipped to deal with the systemic problems stemming from stability that breeds instability. Minsky (p.280):
In a world with capitalistic finance it is simply not true that the pursuit by each unit of its own self-interest will lead an economy to equilibrium. The self-interest of bankers, levered investors, and investment producers can lead the economy to inflationary expansions [including asset inflation] and unemployment-creating contractions. Supply and demand analysis—in which market processes lead to an equilibrium—does not explain the behavior of a capitalist economy, for capitalist financial processes mean that the economy has endogenous destabilizing forces. Financial fragility, which is a prerequisite for financial instability is, fundamentally, a result of internal market processes. …
Institutions such as the Federal Reserve, which were introduced in an effort to control and contain disorderly conditions in banking and financial markets, are now slaves of an economic theory that denies the existence of such conditions.
The "stability breeds instability" process is now well-know to complex systems theorists. As systems age, newly emergent systems first gain, then lose redundancy and therefore resilience—they become fragile, brittle, or tightly-coupled. At some point a shock to the system will cause catastrophic failure (if the system just doesn't get stuck in a "poverty trap"), setting the stage for rebirth of that system or newly emergent systems that arise in the wake of the old. (See, e.g. adaptive cycle, or more generally: Resilience Alliance.)
Minksy's dream is a hard sell in the American culture, with our new-found American values. Minsky's agenda is to relegate market mechanisms to relatively minor roles. Minsky's "solutions" which he offered up humbly, are for bigger government, smaller banking institutions, and an elimination of "welfare" via a government-sponsored "employment strategy". It is an agenda that is still being pitched by some of Minsky's disciples, although there is dissension among the disciples as is always the case with economists. Minsky also advocated for a "balanced budget" — balanced not every year, but over a reasonable time-frame so as to avoid hyper-inflationary possibilities.
Time will tell whether Capitalism will survive (and if it does, In what form?). In the meantime we all watch and wait, cuss and discuss.