Capitalism, Mutuality and Sharing
Cooperation, as Mises pointed out, includes both forms of catallactic exchange, i.e., monetary purchases and sales, and nonmonetary exchanges. As he mentions in Human Action:
"The teachings of catallactics do not refer to a definite epoch of history, but to all actions characterized by the two conditions private ownership of the means of production and division of labor. Whenever and wherever, in a society in which there is private ownership of the means of production, people not only produce for the direct satisfaction of their own wants but also consume goods produced by other people, the theorems of catallactics are strictly valid."
Chris Sciabarra in his post on capitalism questions the value of the use of this term and correctly has pointed to some of the recent work by Kevin Carson on mutualism. In a post on the Mises Blog N. Joseph Potts mentions Yochai Benkler's interesting paper on mutualist economics, "Sharing Nicely: On Shareable Goods and the Emergence of Sharing as a Modality of Economic Production" in the Yale Law Journal deals with production of goods/services through nonmarket mechanisms of social sharing. This is a paper that you might be interested in looking at.
I do think that" capitalism" is a term commonly in use at the time of Rand, Paterson, et. al. The use of this terminology leaves us with quite an important issue, and an important opportunity as well. The pre-Austrian (and by that I mean prior to the introduction of Mises to American circles of scholars and free-marketeers in the late 1940's) economic thinkers were Thomas Nixon Carver (who was known as"Mr. Capitalism" at Harvard, where he taught) was the author of many books and articles on economic theory, and Carl Snyder, primarily with the publication of his magnificant book, "Capitalism, the Creator." It may be well worth reviewing Charles T. Sprading's influence in popularizing the"libertarianism" from the time of the publication of his "Liberty and the Great Libertarians" and the usage that he made of the term. His emphasis on"mutualism" and" cooperation" may well be keys in helping to resolve, or possibly expand, this topic.A paper mentioned in Benkler's essay, Dan M. Kahan's, "The Logic of Reciprocity: Trust, Collective Action, and Law" has an important discussion of trust within nonmonetary social relations which might be of interest as well.
Just a thought.