Step 1: Understanding the Concept:
David Ricardo's Law of Comparative Advantage dictates the fundamental basis and gains from international trade.
Step 2: Detailed Explanation:
Mutually beneficial international trade occurs when relative cost ratios (opportunity costs) of producing goods differ between nations.
If the opportunity cost (domestic rate of transformation) of producing two goods is identical in both nations, neither country has a comparative advantage, leaving no price differential or economic incentive to engage in international trade.
Step 3: Final Answer:
Hence, two countries have no incentive to trade if their opportunity costs are identical.