Credit segmentation in general equilibrium

We build a general equilibrium model with endogenous borrowing constraints compatible with credit segmentation. There are personalized trading restrictions connecting prices with both portfolio constraints and consumption possibilities, a setting which has not thoroughly been addressed by the literature. Our approach is general enough to be compatible with incomplete market economies where there exist wealth-dependent and/or investment-dependent credit access, borrowing constraints precluding bankruptcy, or assets backed by physical collateral.To prove equilibrium existence, we assume that both investment on segmented assets is not required to obtain access to credit and transfers implementable in segmented markets can be super-replicated by investing in non-segmented markets. For instance, this super-replication property is satisfied if either (i) all individuals have access to borrow at a risk-free rate; or (ii) financial contracts make real promises in terms of non-perishable commodities; or (iii) promises are backed by physical collateral.