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We consider a hypergraph (I,C), with possible multiple (hyper)edges andloops, in which the vertices $i\in I$ are interpreted as agents, and the edges$c\in C$ as contracts that can be concluded between agents. The preferences ofeach agent i concerning the contracts where i takes part are given by use of achoice function $f_i$ possessing the so-called path independent property. Inthis general setup we introduce the notion of stable network of contracts.  The paper contains two main results. The first one is that a general problemon stable systems of contracts for (I,C,f) is reduced to a set of special onesin which preferences of agents are described by use of so-called weak orders,or utility functions. However, for a special case of this sort, the stabilitymay not exist. Trying to overcome this trouble when dealing with such specialcases, we introduce a weaker notion of metastability for systems of contracts.Our second result is that a metastable system always exists.

Stable and metastable contract networks