According to Anthony Downs, if political parties in the US were acting rationally, where would they position themselves ideologically?

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If voters and parties are acting rationally, Downs believed, both major parties would try to appeal to the people in the ideological middle. This assumes that the goal of voters is to vote for those closest to them ideologically and that the goal of parties is to win elections. Since more voters are toward the middle, the parties should position themselves to that ideological space. The liberals and conservatives, then, would be left to vote the centrist party that was closest to them.

According to Anthony Downs, If Political Parties in the US