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add short section for dictatoship strategy

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30_Thesis/sections/10_foundations.tex
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@@ -174,7 +174,9 @@ The strategy of aggregating predictions can be further divided into two strategi
The aggregation of preferences uses a merging strategy to combine the individual preferences into group preferences. This allows a group to change its preferences during the course of the decision without changing individual preferences.
Both the approach of merging preferences and the approach of using individual user's rankings require some kind of aggregation strategy. This section presents three strategies: multiplication, average and least misery. The multiplication strategy multiplies preferences of users and thereby combines them into a group preference. Similarly the average strategy takes the average of a rating and the least misery strategy takes the lowest rating among group members. To illustrate the example in \autoref{tab:Foundations:RecommenderSystem:MoviePreferences} is used. Lucy, Eric and Diane form a group. The resulting ratings for each strategy are shown in \autoref{tab:Foundations:RecommenderSystem:AggregationStrategy}.
Both the approach of merging preferences and the approach of using individual user's rankings require some kind of aggregation strategy. Strategies used in this thesis are: multiplication, average and least misery. The multiplication strategy multiplies preferences of users and thereby combines them into a group preference. Similarly the average strategy takes the average of a rating and the least misery strategy takes the lowest rating among group members. To illustrate the example in \autoref{tab:Foundations:RecommenderSystem:MoviePreferences} is used. Lucy, Eric and Diane form a group. The resulting ratings for each strategy are shown in \autoref{tab:Foundations:RecommenderSystem:AggregationStrategy}.
An additional strategy is the dictatorship strategy. When the dictatorship strategy is used a random group member is chosen. This group member is called the dictator. The decision is made only based on the preference of the dictator. It is omitted from the table as the outcome is dependent on random choice.
\begin{table}
\centering