According to Tilly, which of the following factors does NOT influence a group's likelihood of taking collective action?

The selection identifies the experience with similar actions in the past as the factor that does not influence a group's likelihood of taking collective action according to Tilly's analysis. Tilly emphasizes that there are specific dynamics that shape the potential for collective action, focusing on structural and situational factors rather than historical experience.

Shared interests serve as a crucial motivator for mobilization, as groups with common goals are more likely to unite for collective action. Additionally, the amount of power a group wields is directly related to its capability to influence outcomes and assert its interests. Furthermore, the ability to mobilize members is essential because without active participation, even the most aligned and powerful groups may struggle to effect change.

In this context, while past experiences can provide valuable lessons or cautionary tales, they aren't foundational to the current capacity or conditions that Tilly underscores in his framework for mobilizing collective action. Thus, option C stands out as the correct choice because it deviates from the other factors central to Tilly's perspective on collective action dynamics.