The above expression implies that these entrepreneurs set γi=0.
Hence, any change in the cost of credit does not affect their investment
decision. Instead, entrepreneurs whose assets are above Amin
are able to access the credit market, set γib1 and run both projects.
Moreover, for these entrepreneurs the choice of collateral is a monotonic
and increasing function of their endowment, that is, the higher
Ai, the higher γi. Fig. 1 shows that the disclosure function γi=γ(Ai) is
a step function. For 0≤AibAmin, the function coincides with the horizontal
axis. For Amin≤Ai≤Ā, the function is determined by Eq. (10),
and is therefore concave.9 Since we assume that Ai is distributed uniformly
over the interval [0,Ā], the area below the disclosure function
measures total disclosed assets.