Participatory budgeting involves community members in discussions of and decisions about local monies. While this is not a widespread process, it started in this country in Chicago:

Participatory budgeting, in which members of the public get a direct vote in how tax dollars are spent, has been around in Chicago for more than a decade, and made its U.S. debut here in the North Side’s 49th ward in 2009, led by then-Ald. Joe Moore.
The concept was born in Porto Alegre, Brazil in 1989 and is now used in cities across the world. In Chicago, residents vote on how to spend the majority of the $1.5 million in “menu money” City Council members are allotted for infrastructure projects each year — in the handful of wards that choose to use it. It’s also utilized in a handful of Chicago Public Schools as a form of civic education.
But despite its special ties to the city, participatory budgeting, or PB, has failed to launch on the scale advocates envision, lagging other U.S. cities such as New York and Boston that have implemented different versions of citywide programs. Now, proponents of participatory budgeting see an opportunity with Chicago’s newly elected mayor, who has vowed collaboration with residents, and whose transition report calls for Chicago to be “real pioneer” in participatory democracy.
Many local issues involve money. Where is it coming from? Where is it being spent? Who is benefiting and who is not? One local expert describes the benefits of participatory budgeting:
“That’s what our research shows is that over and over again, people who participate talk about how they learn more about what their needs are in their community, that they meet more neighbors, they feel more positively about their aldermen, they learn more about how government works, they’re more comfortable contacting government agencies and officials,” said Crum, whose group also helps alderpersons facilitate ward-level participatory budgeting processes each year.
Would doing more participatory budgeting help restore public faith in government? If a good number of residents feel that elected people or appointed officials are not using money in ways that are good for the community, it can be easy to criticize the whole system. At the least, participating in budget conversations can help reveal all of the possible priorities and how decisions might be made.