Tony and Larry Are Managers of Baseball Teams That Currently

Essay

Tony and Larry are managers of baseball teams that currently playing a game. It's late in the ballgame and Tony's team is currently winning and in the field. Tony's strategies are to bring in a right handed pitcher (RHP) or to bring in a left handed pitcher (LHP). Larry's strategies are to bring in a right handed pinch hitter (RPH) or to bring in a left handed pinch hitter (LPH). The payoff matrix is in terms of winning (W) or losing (L) the game. Does either player have a dominant strategy? Does the game have a Nash equilibrium? What is the maximin strategy of each player in the game?