Consider a risky setting with two possible states of the world at the time \(t=1\), with probabilities \(\pi\) and \(1-\pi\), and an agent with power utility function \(u(x)=x^{\gamma}\), with \(\gamma \in(0,1)\). Verify that, if the prices of wealth contingent on the two states of the world are not fair, i.e., \(p_{1} / p_{2}>\pi /(1-\pi)\), then the optimal consumption in the two states of the world satisfies \(x_{1}^{*}