What are 'markets' and what are 'social structures' in a modern sense? And how do they interact with one another, if at all, in those types of society which contain them, such as capitalist or socialist societies? (In what follows I draw upon some ideas of David Schweickart, an American political philosopher and Marxist.)
'Markets', on the one hand, are sites or places in which things are exchanged for money between people who want to sell something for money and those who want to buy something for money. (In their most basic sense, however, 'markets' are nothing more than sites or places in which people come to exchange their respective wares with each other for something else that they don't have but want.) 'Social structures', on the other hand, are nothing but (in one sense) the ways in which various societies are structured or organised according to those who own and/or control the basic non-human means of production and those who don't. Accordingly, 'markets' and 'social structures' abide by certain 'institutional rules'. One rule of markets is that people who sell things to others for money get to keep the money, while those who buy things for money get to keep those things they've bought. One of the rules of a social structure is that those who own and/or control the non-human means of production get to decide not only how these non-human means of production are used but also who gets to keep whatever is produced by them, while those who don't own and/or control the non-human means of production can't do any of these things.
Now, armed with these two basic concepts, let's turn our attention to, firstly, modern capitalist society, which happens to be called other things, like the 'free enterprise system' or the 'market economy' (both of which are euphemisms for capitalism).
First, let's characterise the market and social structure aspects of a capitalist society.
In a capitalist society, the market is the means by which all sorts of things in various quantities are exchanged for a certain amount of money (price) as determined by the 'laws' of supply and demand. This all happens between what are called 'households' and 'firms'. (I here follow the standard account presented in the textbooks of mainstream neoclassical economics.) Firms, which are the 'producers' of society, sell their various products (goods and services) to households in what's called the consumer market, while households, which are the 'consumers' of society, sell their resources (like their labour and capital goods) to firms in what's called the resources markets. This is the 'circular flow' model of the market aspect of a capitalist system, as expounded in the textbooks of mainstream neoclassical economics. So, here we have a basic conception of the market aspect of a capitalist system.
What about its social structure aspect?
In a capitalist system, the social structure, as defined in terms of those who do and those who don't own and/or control the non-human means of production, is one which consists of two major social classes: the social class of capitalists and the social class of wage-workers. (I here follow both Marx's and Schweickart's accounts.) It's the capitalist class which happens to own and/or control the non-human means of production, while it's the class of wage-workers who don't.
There are a couple of things which can be said here about this particular type of social structure.
First, since the capitalist class owns and/or controls the non-human means of production, the class of wage-workers, if they want to earn an income then they must sell their labour-power in the labour market to the capitalist class in exchange for wages.
Secondly, because of this market exchange between these two social classes, the class of wage-workers can be put to work and made to work as hard as necessary for the benefit of the capitalist class without being paid any extra than what was agreed to within the labour market. The net result of this situation is that the class of wage-workers produce a sufficient amount of goods to be sold in the market for (hopefully) a profit, which is consequently appropriated by the capitalist class. The latter can do this since they own and/or control the non-human means of production. They get to keep the 'fruits of labour'. (It's also their legal right to do so.)
This particular type of social structure of capitalism is held to be both an oppressive and exploitative one by those within the Marxist tradition of economics (something which is mostly disputed by modern economics, especially by the modern orthodox neoclassical school of economics).
This, then, is the basic social structure of the capitalist system.
So here we have a basic outline of the market and social structure aspects of a capitalist society. What are their connections to each other, if in fact there are any?
There are at least two possible ways of addressing this question. One way, is from a narrow conceptual perspective about what constitutes the subject matter of economics; the other way, is from a much broader ontological perspective in which the aim is to comprehend how all the essential parts bind together to form the whole that something is. For brevity, let's call the former the economic perspective and the latter the sociological or political economy perspective. (On this distinction, see my previous blog post.)
For modern mainstream economics, the sole subject matter of economics is the market place. For it, economics is all about what goes on in various markets in accordance with the 'economic laws' of supply and demand, and thus its focus is on how the quantities and prices of things are determined by such 'economic laws'. Furthermore, it's the view of modern mainstream economics that such types of economic activities can be theoretically analysed independently of the specific type of social structure which pertains to a capitalist society. This is apparent in how they exclude all notions of social classes from their economic models of markets and reduce everything down to the market exchanges between households and firms, which all occur within various degrees of 'budgetary constraints'. For modern mainstream economics, the social structure of a capitalist society can be taken for granted, but as far as the theoretical study of markets is concerned, it's irrelevant. The particular type of social structure of a capitalist society can play no theoretical role in how the various quantities and prices of things in markets are determined. To do this, you just need to invoke the 'economic laws' of supply and demand (which is, incidentally, ultimately rooted in an economic theory of consumer demand - the cornerstone of modern mainstream neoclassical economics).
So, as can be gleaned here, this is an economic perspective. It's therefore the perspective of modern mainstream neoclassical economics. Modern mainstream neoclassical economics does not transverse into areas which it takes to be the proper domain of sociology or political philosophy, which is where a study of the underlying social structure of a capitalist society belongs. Their slogan is: let's not mix oil and water by including the social structure aspect of a capitalist society into economics, which is just the study of markets.
What about from a non-mainstream position in modern 'economics', such as Marx's (or Marxism in general)? Is there a shared economics perspective here, too? Or is it a sociological or political economy perspective, instead? The short answer is: the Marxist perspective is the latter, not the former - as I shall show in the next blog post on this topic. And furthermore, I shall show why that's a justifiable perspective, and consequently what's wrong with the the economics perspective of (above all) modern mainstream neoclassical economics.