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A fraction α of buyers are retail bank depositors while the remaining fraction are unconventional bank depositors.
An unconventional bank depositor is matched with a different set of sellers.
At the beginning of the CM, buyers do not know what type of seller they will meet in the next DM (though there are differences in the types of sellers that retail and unconventional bank depositors can meet, as specified above).
In equilibrium, retail banks and unconventional banks offer deposit con- tracts to retail bank depositors and unconventional bank depositors, respectively.
An unconventional bank offers deposit contracts to unconventional bank depositors, with the utility of one of these depositors from a deposit contract given by
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