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Avoiding Anscombe's paradox

Theory and Decision 16 (3):233-238 (1984)

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  1. The potential of iterative voting to solve the separability problem in referendum elections.Clark Bowman, Jonathan K. Hodge & Ada Yu - 2014 - Theory and Decision 77 (1):111-124.
    In referendum elections, voters are often required to register simultaneous votes on multiple proposals. The separability problem occurs when a voter’s preferred outcome on one proposal depends on the outcomes of other proposals. This type of interdependence can lead to unsatisfactory or even paradoxical election outcomes, such as a winning outcome that is the last choice of every voter. Here we propose an iterative voting scheme that allows voters to revise their voting strategies based on the outcomes of previous iterations. (...)
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  • The Budget-Voting Paradox.Gilbert Laffond & Jean Lainé - 2008 - Theory and Decision 64 (4):447-478.
    The budget-voting paradox states that, when social alternatives are proper subsets of a finite set of decisions, choosing decision-wise according to the majority rule may select an alternative that is covered in the majority tournament among alternatives. Individual preferences are defined on single decisions, and are extended to preferences over the alternative set by means of a preference extension rule. We prove the existence of the paradox for any rank-based, monotone, and independent extension rule.
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