Answer Happy

If two spiders find a dead insect at the same time, each spider will make menacing gestures to scare off the other. If one spider backs down, that spider gets nothing and the other spider get the insect to itself. If both spiders back down, they can share the insect. If neither backs down, the spiders will fight. The payoffs resulting from the fight depend on the sizes of the spiders (represented as x and y) and are described using the following normal form game matrix: Suppose the spiders are the same size so that x=y. What is the smallest val ue of x that gives both spiders a strictly dominant strategy?