For Hampton, VA it isn't a single tool but a holistic approach to engagement (an ecosystem of good engagement). We know that the principles of good engagement are not always employed, as there are political and discretionary factors at play in executive and elected decision making. However, we strive to incorporate and advocate for those principles where ever possible and seek to instill those values as part of the work of government. For us, it starts with education, both internally and externally. We hold a session called Hampton 101 to help our civic leaders connect with city leadership and begin to understand how the city government is structured, its current strategic directions, how decisions are made based on that direction, and what role they can play in influencing that process. This is also made available for new city staff, department heads, and staff groups in combination with other interdepartmental workshops. This "indoctrination" into the work of community building and engagement helps to set the culture for the organization and for our civic leaders but making the principles more relational.We also believe that good engagement is fostered through good relationships, even when you disagree. We work with our civic leaders and various citizen groups to support them and engage them before any decisions need to be made. This sets the stage for constructive dialogue that becomes more ongoing than a point in time action. Our goal is to be proactive in "taking the pulse" of the city before there is a crisis or critical decision point. We work to promote Asset Based Community Development and neighborhood planning to help develop community priorities that can be used to inform immediate and future decision making. This also includes holding training series with any potential community leader on "How to be a more effective civic leader" that gives them even deeper insight on civic engagement and how to develop their skills.Lastly, I would say that when we do have to approach a decision, our office works to help design processes that meet the input needs of the both the City and the citizen. There is an art to formulating an effective and positively engaging process but it all starts with knowing your community, its concerns and aspirations, its frustrations and desires, before anyone walks in the room. When you have a staff that are good at anticipating these, they can better develop engagement processes that citizens will walk away thanking you for creating the input opportunity. Getting to a proper timing takes the support of the elected officials and city leadership to reinforce the desired timing and method for input. To get that support, I have found, it is often achieved through experience, dialogue, and rapport with your staff skilled in citizen engagement.A couple good books I give to our civic & elected leaders that want to be savvy in engagment:Community - Peter BlockBuilding Powerful Community Organizations - M J BrownPutting Faith in Neighborhoods - Stephen GoldsmithBuilding Communities from the Inside Out - John McKnightI know I'm late to responding but I hope this helps. I'm also always glad to talk more about our approach and efforts.