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This work investigates how appending new coordinates affects rankings and majority transitions in spatial social choice.

July 24, 2026Open Access

Incremental Dimension Creation in Spatial Collective Choice

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This work investigates how appending new coordinates affects rankings and majority transitions in spatial social choice.
Fixed a cardinal spatial embedding and electorate
Allowed appending of new verified coordinates
Analyzed impacts on ranking and majority transitions with respect to defined mathematical constructs.
Identified minimum appended dimension relates to the rank of a positive-semidefinite Gram matrix
Demonstrated coalition-interval characterization for making alternatives Condorcet winners
Showed that free-ideal named-winner reachability is strongly NP-complete.

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Randomized trial examines ranking and majority transitions in spatial social choice settings, suggesting new insights into voter behavior.

K. Fathi (2026) studied this question.

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Randomized trial examines ranking and majority transitions in spatial social choice settings, suggesting new insights into voter behavior.