diff --git a/paper/termpaper.tex b/paper/termpaper.tex index 544d044..fec8eb9 100644 --- a/paper/termpaper.tex +++ b/paper/termpaper.tex @@ -436,6 +436,36 @@ cannot be bettered without making someone worse off while improving another voter and that results cannot only mirror one person's preferences, respectively. +\section{Conclusion} +\label{sec:conclusion} + +We have looked at different possibilities for conducting the voting and winner +selection process for participatory budgeting. A budgeting scenario in the +mathematical sense has been described and methods for modeling voter +satisfaction are discussed. A deeper view on approval-based budgeting models has +been given where the voters are assumed to have dichotomous preferences. The +complexity of the different rules has been evaluated and contrasted to each +other. We have seen that aggregation methods cannot only be compared in terms of +complexity but also by using axioms that formulate desirable outcomes. + +Future research might focus on not only incorporating monetary cost and +satisfaction into aggregating winning projects but also other factors such as +environmental costs, practicability of participatory budgeting methods as well +as scalability of these methods to a very high amount of projects and voters. +Interesting further questions are posed by the possibility to combine projects +that are indivisible with projects that are divisible under one aggregation +rule, leading to a host of \emph{hybrid models}. Because a lot of the methods +that have been theorized by researchers have not yet been implemented in +practice, research on feasibility could lead to a better understanding of what +works and what does not. Another area of research could focus on allowing +projects to be related to each other and reflecting those inter-relations in the +outcome while still maintaining a grip on the explosion of possible solutions. +Exploring more axioms and rule configurations is important for achieving a +complete picture of the possibilities within the field of computational social +choice. As a final point, research into user interface design during the voting +phase might uncover previously unknown impacts of ballot design on the resulting +selection of winning projects. + \printbibliography \end{document}