The separability problem is a concept from the field of

social choice theory Social choice theory or social choice is a theoretical framework for analysis of combining individual opinions, preferences, interests, or welfares to reach a ''collective decision'' or ''social welfare'' in some sense.Amartya Sen (2008). "Soc ...

that describes the situation where two or more issues up for vote on a

ballot A ballot is a device used to cast votes in an election and may be found as a piece of paper or a small ball used in secret voting. It was originally a small ball (see blackballing) used to record decisions made by voters in Italy around the 16t ...

either are, or are perceived as, related. The separability problem commonly manifests itself most intensely in

referendum A referendum (plural: referendums or less commonly referenda) is a direct vote by the electorate on a proposal, law, or political issue. This is in contrast to an issue being voted on by a representative. This may result in the adoption o ...

s and in voting on multiple charges before

juries A jury is a sworn body of people (jurors) convened to hear evidence and render an impartial verdict (a finding of fact on a question) officially submitted to them by a court, or to set a penalty or judgment. Juries developed in England duri ...

or panels of

judge A judge is a person who presides over court proceedings, either alone or as a part of a panel of judges. A judge hears all the witnesses and any other evidence presented by the barristers or solicitors of the case, assesses the credibility ...

s, where simultaneous

voting Voting is a method by which a group, such as a meeting or an electorate, can engage for the purpose of making a collective decision or expressing an opinion usually following discussions, debates or election campaigns. Democracies elect hol ...

is employed. Some or all voters view the approval or disapproval of one issue dependent on the approval or disapproval of another. The voters have no information on the outcome of related issues, so they simply cast their first preference votes. The outcomes of these decision-making polls are often displeasing to a majority of voters merely because simultaneous voting denied them the information on outcomes of individual issues or the opportunity to express preferences of outcomes of related issues. The solution to the separability problem for referendums would be set-wise voting, where the voter can express preferences for outcomes of related issues, as this process needs to be done at a particular time. For matters before juries or judicial panels, either set-wise or sequential voting can be employed to mitigate this problem, as all votes need not be cast in one instance. If sequential voting were employed, the outcome of every vote tally on an issue would be announced before a vote on the next issue would be taken. The drawback to sequential voting in this case would be that there is no means to guarantee that a juror would actually change a successive vote based on a prior verdict.

External links

Voting on Referenda:The Separability Problem and Possible Solutions
Article by Steven J. Brams, D. Marc Kilgour, and William Zwicker.
A problem with referendums
Article by Dean Lacy and Emerson Niou.
The Paradox of Multiple Elections
Article by Steven J. Brams, D. Marc Kilgour, and William Zwicker.
The Probability of Inconsistencies in Complex Collective Decisions
Article by Christian List. {{DEFAULTSORT:Separability Problem Public choice theory