D2MAC: Difference between revisions

imported>Heitzig-j
imported>Heitzig-j
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Whatever two voters are drawn, both approve of C, hence C is the certain winner (i.e. has a winning probability of 1).
 
''This shows that D2MAC does not necessarily elect the favourite of a majority when there is a strong compromise option.''
===Two factions with a compromise option and unilateral cooperation===
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B wins if the first voter is amoung the 45 B-voters and the second voter is amoung the 54 "non-cooperative" A-voters. This has a probability of 45%*54% = 24.30%.
 
''This shows that under D2MAC a majority (here the 54 A-voters) cannot necessarily make sure their favourite (here A) wins with certainty. Rather every group of voters who favour the same option can make sure their favourite gets at least a winning probability of ''(size of group / no. of voters).''.
===Two factions with a compromise option and bilateral partial cooperation===
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