True or false. Justify your answer.

(a) The Arrow impossibility theorem says that the only way to make efficient and rational social choices that satisfy the Independence of Irrelevant Alternatives is to let a dictator make decisions.

(b) If an allocation is not in the core, then some groups of agents have incentives to split and do the project on their own.

(c) Sum-Fitness could imply giving all the resources to a single agent.

(d) The egalitarian criteria, as the name suggests, always propose to share resources equally.

(e) The allocation proposed by Spliddit to share rent satisfies Strategy Proofness.