Evaluation of a Presidential Election Game
Bibliographic Data
| ID | 3529228 |
|---|---|
| Authors | Guillermo Owens (0000-0002-7151-2607, Rice University, corresponding author), Guillermo Owen |
| Year | 1975 |
| Volume | 69 |
| Issue | 3 |
| Pages | 947-953 |
| Publication date | 1975-09-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | American Political Science Review (JOURNAL) |
| Journal identifiers | ISSN: 0003-0554 • E-ISSN: 1537-5943 |
| Publisher | Cambridge University Press (CUP) (PUBLISHER) |
| DOI | 10.2307/1958409 |
| OpenAlex | W2053164359 |
| Language | EN |
| Citations received | 33 |
The Shapley value of the presidential election "game" is approximated by the method of multilinear extensions; the likely error in this approximation is computed by studying the error in the electoral college game. A comparison with the Banzhaf ratio is also given. The several biases inherent in the electoral system are analyzed from a mathematical point of view. It is shown that the system incorporates a strong bias in favor of the larger states, and a small bias in favor of the smallest states
Electoral college · Game theory · Geometry · Mathematical economics · Multilinear map · Point (geometry · Political science · Politics · Presidential election · Presidential system · Pure mathematics · Shapley Value · Statistics · Value (mathematics · Economic theories and models · Game Theory and Applications · Game Theory and Voting Systems · Law · Mathematics
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| Unique citing works | 33 |
|---|---|
| Citations per year | 0.66 |
| Citation span | 1976 - 2025 (50) |
| Citation velocity | recent |
| Highly cited | No |
| Citation types | Neutral: 33 |