The following payoff matrix shows the outcomes for the United States and Russia from relying on conventional weapons versus atomic weapons in a military conflict. The percentages refer to the fraction of the population that would die. 0A 2 by 2 matrix. The subcolumn headers under the Russia are: Atomic weapons and Conventional weapons. The sub-row headers under the U S are: Atomic weapons and Conventional weapons. This situation above illustrates a positional externality because Multiple Choice using atomic weapons is a dominated strategy. using atomic weapons improves each country's outcome but hurts the other country. the game does not have a Nash equilibrium. no matter what kind of weapons each country chooses, many people will die