Sure, could you provide an example of how your non-coercive society would have dealt with the thug and the theft of property??
You keep not answering the question.
Non coercive is not the same as pacifism. Defensive force is an acceptable thing, offensive force is not.
The chip stealing thug could have been dealt with a number of ways. He could have been stopped by the shop owner, if the shop owner were allowed to use defensive force. He could have been barred admission to the store, if his past indicated he was a thug or the store owner was permitted to engage in commerce on a consensual rather than forced basis.
He could have been apprehended by private security that has a history of providing a valued service or the market wouldn't have allowed it to exist and "convicted", then forced to restitute the aggrieved person.
You might like to read the Market for Liberty, the authors go into greater depth and provide good answers to your question.
From the Mises Institute regarding their take on the book -
This book is very radical in the true sense of that term: it gets to the root of the problem of government and provides a rethinking of the whole organization of society. They start at the beginning with the idea of the individual and his rights, work their way through exchange and the market, expose government as the great enemy of mankind, and then—and here is the great surprise—they offer a dramatic expansion of market logic into areas of security and defense provision.
Their discussion of this controversial topic is integrated into their libertarian theoretical apparatus. It deals with private arbitration agencies in managing with disputes and criminality, the role of insurers in providing profitable incentives for security, and private agencies in their capacity as protection services. It is for this reason that Hans Hoppe calls this book an "outstanding yet much neglected analysis of the operation of competing security producers."
The section on war and the state is particularly poignant. "The more government 'defends' its citizens, the more it provokes tensions and wars, as unnecessary armies wallow carelessly about in distant lands and government functionaries, from the highest to the lowest, throw their weight around in endless, provocating power grabs. The war machine established by government is dangerous to both foreigners and its own citizens, and this machine can operate indefinitely without any effective check other than the attack of a foreign nation."
Also overlooked is the Tannehill's challenging plan for desocialization or transition to a full free society. They argue against privatization as it is usually understood, on grounds that government is not the owner of public property and so it cannot sell it. Public property should be seized or homesteaded by the workers or by people with the strongest interest it in, and then put on the open market. If that sounds crazy or chaotic, you might change your mind after reading their case.
This book is very radical in the true sense of that term: it gets to the root of the problem of government and provides a rethinking of the whole organization of society. They start at the beginning with the idea of the individual and his rights, work their way through exchange and the market, expose government as the great enemy of mankind, and then—and here is the great surprise—they offer a dramatic expansion of market logic into areas of security and defense provision.
Their discussion of this controversial topic is integrated into their libertarian theoretical apparatus. It deals with private arbitration agencies in managing with disputes and criminality, the role of insurers in providing profitable incentives for security, and private agencies in their capacity as protection services. It is for this reason that Hans Hoppe calls this book an "outstanding yet much neglected analysis of the operation of competing security producers."
The section on war and the state is particularly poignant. "The more government 'defends' its citizens, the more it provokes tensions and wars, as unnecessary armies wallow carelessly about in distant lands and government functionaries, from the highest to the lowest, throw their weight around in endless, provocating power grabs. The war machine established by government is dangerous to both foreigners and its own citizens, and this machine can operate indefinitely without any effective check other than the attack of a foreign nation."
Also overlooked is the Tannehill's challenging plan for desocialization or transition to a full free society. They argue against privatization as it is usually understood, on grounds that government is not the owner of public property and so it cannot sell it. Public property should be seized or homesteaded by the workers or by people with the strongest interest it in, and then put on the open market. If that sounds crazy or chaotic, you might change your mind after reading their case.