申論題

A new supermarket moves to a community. Other supermarkets don't know if this supermarket is tough or weak. The leading supermarket likes to beat up weak supermarkets, but doesn't like to fight tough supermarkets. The leading supermarket gets to scc how the new supermarket decorates its store. The new supermarket can choose either high-class decoration or mediocre decoration. Tough supermarkets get utility of 1 from high-class decoration and O from mediocre decoration. Weak supermarkets get utility of 1 from mediocre decoration and O from high-class decoration. The leading supermarket gets payoff of I from fighting a weak supermarket, -1 from fighting a tough supermarket, and 0 from not fighting. The new supermarket's total utility is its utility from decoration minus w if the leading supermarket fights it and it is weak, and utility from decoration plus s if it is strong and the leading supermarket fights it.

4.What are possible strategies are for the leading supermarket? What are possible strategies for the new supermarket?