Final answer:
Luca Villanova's leadership style, which includes generating alternatives and making decisions by group agreement and vote, is identified as Democratic or participative.
Step-by-step explanation:
Luca Villanova's style of leadership, where he wants to generate alternatives and come up with a solution by mutual agreement and vote, is called Democratic or participative leadership. This leadership style is characterized by encouraging group participation in all decision-making processes and striving to build consensus before moving forward with a course of action.
This approach is beneficial as it involves team members and can create a sense of shared responsibility, but it is also time-consuming and can occasionally lead to the formation of opposing factions within the group.