Suppose Our Tastes Can Be Represented by the Function $u \left( x _ { 1 } , x _ { 2 } \right) = \left( \alpha x _ { 1 } ^ { - \rho } + ( 1 - \alpha ) x _ { 2 } ^ { - \rho } \right) ^ { - 1 / \rho }$

Essay

Suppose our tastes can be represented by the function $u \left( x _ { 1 } , x _ { 2 } \right) = \left( \alpha x _ { 1 } ^ { - \rho } + ( 1 - \alpha ) x _ { 2 } ^ { - \rho } \right) ^ { - 1 / \rho }$ .It is often observed that people become more rigid --- more set in their ways --- as they get older.What parameter is changing as we get older --- and how is it changing? (Explain.)