It depends on how you define bankruptcy. If it's used as a safety net to mitigate risks at the expense of other players in the market (which the government would presumably tax to create the net), then it is interfering with the market.
It's not clear to me how bankruptcy "mitigate risks at the expense of other players in the market".
For one thing, strikes me as a person (individual or corporation) in bankruptcy has taken taken risks and lost. I.e., adverse consequence of risk is applied in bankruptcy, not alleviated.
But there are several types of bankruptcy, and those for individuals vs businesses.
1. Liquidation type. Generally the person losses everything as property is sold/liquidated to satisfy debt. However, depending upon state law an individual is allowed to keep some property. However I think the exemption for individuals is likely there for the states' benefit. States have no incentive to allow an individual to be driven into poverty and destitute, such persons then become supported by the state (welfare, WIK/foodstamps, Medicaid programs etc). In most states the amount of property exempt from liquidation is fairly immaterial too. I suspect a state like FL that allows
all home equity to be exempt does so for it's own purpose. I.e., encourage people to move there. FL has no personal income tax and relies upon R/E & sales taxes. However, FL will take your home equity if you don't pay R/E taxes. So move your money down to FL and as long as long as you pay them, they'll let you keep it.
A big part of the bankruptcy rules are there for the protection of 'weaker' creditors, others that are 'stronger' could otherwise exert more pressure and unfairly collect to the detriment of other creditors.
2. Reorg type. This is basically a court approved repayment plan. Repayment generally comes from expected furture income. Some debt may be discharged, but that's to avoid forcing the business or person into a liquidation type above. That's in no ones' best interest. I believe the concept is that ultimately creditors get more collected under a reorg, if not then it would move to a liquidation.
If we didn't have bankruptcy laws per se, we would still have bankruptcies. It's just that it would be a much messier process as creditors scramble to collect amounts owed and fight amongst each other etc. I suppose people could literally be driven into the streets penniless w/o bankruptcy laws, and that might constitute some risk mitigation. But that mitigation is a byproduct of the state's interest and may therefor be viewed as immaterial.
Bailouts, OTOH, are big-time risk mitigation IMO (and should not have been done).
Fern