engleski

The Mathematical Look at a Notion of the Compromise and Its Ramifications

This paper aims to define a measure which would capture notion of compromise on a given profile of voter preferences, about certain candidate being appointed to the certain position by some social welfare function. The goal is to define what compromise should mean, and proposes so called "d-measure of divergence" as a measure of divergence for some candidate to be positioned to certain position. Two well established social welfare functions, Borda and plurality count d-measure of divergence results are compared. Furthermore, d-measure of divergence enables us to define new social welfare functions, which would (in different ways) minimize d-measure of divergence (from the compromise): "Simple d-measure", greedy minimization and "Total d-measure" social welfare functions. Characterization for the SdM function is given, and properties of later two functions are analyzed.

Borda count ; Plurality count ; Social choice function ; Social welfare function ; Compromise

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