4. (12 points) \"Seeing-eye\" Robots for Inventory Management Suppose that Wal-Mart and Target are deciding whether to adopt Intelligent Inventory Scan Robots to improve efciency in inventory management. The robots entail a substantial , investment, however. They are motorized machines that are programmed to cruise the store in an automated way and scan the shelves to measure inventory. Suppose that the retailers are independently deciding whether to stick with their current inventory management system (\"status quo\") or to adopt the robotic technology. Assume that it would be much less costly for the retailers' suppliers to only use the software entailed with the robotic system to communicate with both retailers rather than use the status quo system to communicate with one retailer and the' robotic system soware with the other. The following payoff matrix shows the prots per year for Wal-Mart and Target resulting from the interaction of their strategies. _ Adotrobors _ W_ WalMart (W) T: $3 B T: $2 B _ T: $1 B T: $43 a. (2 points) Does Wal-Mart have a dominant strategy? Explain, referring to specic payoffs. b. (2 points) Does Target have a dominant strategy? Explain, referring to specic payoffs. ' c. (4 points) Assume that the retailers are making their decisions simultaneously. Please explain carefully whether there are any Nash equilibria in this one-shot game. Making notations in the payoff matrix would be one way of showing work. (1. (2 points) Given your analysis, what strategic type of concern should the retailers have about this game? Could the game be improved for the participants to alleviate their concern? Explain