Table 3.
Behavioural social choice analysis of 1998–2005 APA presidential election data, each with five candidates and tens of thousands of voters. (We report results from the WO model (WO) and the Zwicker model (ZW). The WO results for 1998–2001 have appeared in Regenwetter et al. (2007b), all others are new. Social orders with bootstrapped confidence ≥98% are in italics. The order 31524 indicates that candidate 3 is the winner, followed by candidates 1, 5 and 2, whereas 4 is the loser.)
| 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | |
|---|---|---|---|---|---|---|---|---|
| Condorcet | ||||||||
| WO | 32145 (0.9) | 43215 (0.6) | 52134 | 53124 (0.7) | 54213 (0.7) | 42531 | 41532 | 21453 |
| ZW | 32415 (0.8) | 43215 (0.8) | 52134 | 51324 | 54123 (0.9) | 42531 | 41532 | 21453 (0.7) |
| Borda | ||||||||
| WO | 32145 | 43125 (0.9) | 52134 | 53124 | 54213 | 42531 | 41532 | 21453 (0.9) |
| ZW | 32415 (0.6) | 43215 (0.9) | 52134 | 51324 | 54123 | 42531 | 41532 | 21453 (0.8) |
| plurality | ||||||||
| WO | 35124 (0.7) | 43152 (0.8) | 53214 (0.7) | 53124 | 54213 (0.8) | 42351 | 41352 | 12543 |
| ZW | 31524 | 43125 (0.5) | 52314 (0.9) | 53124 | 54213 | 42351 | 41352 | 12543 (0.02) |