Hmm, ya, this seems right. At least for beatpath and the way I imagine it’s used (I haven’t read the paper in a while, and I’m just checking Schulze method on Wikipedia), there is a path from 1 to 3, with strength equal to the minimum of the (net?) betterness of 2 over 1 (300=400-100) and the net betterness of 3 over 2 (500=(1000-0)+(-100-400), or maybe just 1000, counting only the positive votes here), so 300.
The direct path from 3 to 1 has only strength 200=100-(-100) (we ignore the contingent people here, since they have nonengative welfare). Since 200<300, 3 is beatpath better than 1.
For what it’s worth, an option like 2 would have to be practically available to result in 3 being required this way. We can imagine creating many humans, nonhuman animals or artificial sentiences to improve the welfare of existing beings by exploiting these extra moral patients, although their lives would still need to be at least net neutral.
Hmm, ya, this seems right. At least for beatpath and the way I imagine it’s used (I haven’t read the paper in a while, and I’m just checking Schulze method on Wikipedia), there is a path from 1 to 3, with strength equal to the minimum of the (net?) betterness of 2 over 1 (300=400-100) and the net betterness of 3 over 2 (500=(1000-0)+(-100-400), or maybe just 1000, counting only the positive votes here), so 300.
The direct path from 3 to 1 has only strength 200=100-(-100) (we ignore the contingent people here, since they have nonengative welfare). Since 200<300, 3 is beatpath better than 1.
For what it’s worth, an option like 2 would have to be practically available to result in 3 being required this way. We can imagine creating many humans, nonhuman animals or artificial sentiences to improve the welfare of existing beings by exploiting these extra moral patients, although their lives would still need to be at least net neutral.