Starting from the objectively dominant position of the sociology of markets in economic sociology, this article suggests that markets have served as a privileged terrain for the development and application of general theoretical arguments about the shape of the social order. I offer a critical overview of the sociology of markets as it relates to our concepts of society, focusing on four main representations of what is sociologically important about markets: the social networks that sustain them, the systems of social positions that organize them, the institutionalization processes that stabilize them, and the performative techniques that bring them into existence. I then speculate about the possible future directions that such theorizing might take, calling in particular for a stronger contribution of the sociology of markets to the analysis of societies as moral orders.
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