(Solved): Suppose \( L=1 \) and \( X=\mathbb{R}_{+}^{1}=[0, \infty) \). Suppose \( \suc ...
Suppose \( L=1 \) and \( X=\mathbb{R}_{+}^{1}=[0, \infty) \). Suppose \( \succsim \) is represented by \[ u(x)=\left\{\begin{array}{ll} x & \text { if } x \in[0,1) \\ x-1 & \text { if } x \in[1, \infty) . \end{array}\right. \] Is \( \succsim \) locally nonsatiated? Monotone? Strictly monotone?
Expert Answer
u is not in the state of being locally n