Abstract
Falmagne and Regenwetter (1996) proposed a probabilistic choice model of approval voting called the size-independent model. This model was investigated geometrically by Doignon and Regenwetter (1997), who introduced the approval-voting polytope associated with the choice model. In an effort to get closer to a full linear description of the polytope, we provide all edges, two-dimensional faces, and a large group of combinatorial automorphisms. Despite the new insights gathered from these results, the main challenge of listing all facets remains an open problem.
Original language | English (US) |
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Pages (from-to) | 554-563 |
Number of pages | 10 |
Journal | Journal of Mathematical Psychology |
Volume | 46 |
Issue number | 5 |
DOIs | |
State | Published - Oct 2002 |
Keywords
- Adjacency
- Approval-voting polytope
- Combinatorial automorphism
- Facet
- Probabilistic choice model
ASJC Scopus subject areas
- Psychology(all)
- Applied Mathematics