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There are more realistic models, in which, for example, users have different scopes of interest or tastes are unevenly distributed in the population. However, these assumptions may lead to bias in the leader selection process, e.g., the systematic preference for some special users, which might complicate our understanding of the local aspect of the topology adaptation.
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A) possible optimal leaders who differ exactly in two taste vector elements, the optimal state is unique only if L=N. If LN, the average differences are greater than two, even in the optimal state.
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A) possible optimal leaders who differ exactly in two taste vector elements, the optimal state is unique only if L = N. If L < N, there are different possible optimal states, which are equivalent in term of quality of leaders' assignment but may differ under other properties like r and c. Initial conditions and users' dynamics determine the particular equilibrium state. If L > N, the average differences are greater than two, even in the optimal state.
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