Problem 5. (Moderately difficult. Based on Kalai, Rubinstein, and Spiegler (2002).) Consider the following two choice procedures: Interpret them so that they will "make sense. Determine whether any are consistent with the rational man paradigm. a. The primitives of the procedure are two numerical (one-to-one) functions u and v defined on X and a number v*. For any given choice problem A, let a* E A be the maximizer of u over A and let b* be the maximizer of v over A. The decision maker chooses at if v(a*) v* and b* if v(a*) u*, and the element b* e A that maximizes v if u(a*) u*, and the element b* e A that maximizes v if u(a*)