Any definition of "market" relevant to this discussion necessitates property rights, which require a functional government and a bare minimum level of regulations. We're talking about the Republican party, not prehistoric tribes, so a nebulous theoretical definition of "markets" that is easily satisfied by two people trading seashells is entirely unhelpful.

Open markets require standards, property rights, fair and impartial judicial system, currency, etc.

Without government, there can be no open markets.

Perhaps you're thinking of black markets.