# Tag Info

Let $X$ be the nonempty set of alternatives, $\mathcal{P}_X$ the set of preference relations on $X$ and $N=\{1,\ldots,n\}$ a finite set of agents. Under the universal domain condition, Arrow's theorem concerns functions from the set $\mathcal{P}_X^N=\underbrace{\mathcal{P}_X\times \mathcal{P}_X\cdots\times\mathcal{P}_X}_{n\text{ times}}$ to $\mathcal{P}_X$. ...