Re: Hybrid Theory

2002-12-11 Thread Raul Miller
> On Tue, Dec 10, 2002 at 02:50:11PM -0500, Raul Miller wrote: > > [b] Gives a result which is less like condorcet than "drop all failed > > supermajority before CpSSD". On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > Uh, how do you figure: > > 40 A B D (A requires 3:1 supe

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > > I don't think such cases exist (I'm working on how to show this). On the > > other hand, there are cases where "drop all failed supermajority before > > CpSSD" gives results which are less like condorcet than "Hybrid Theory". > >

Re: Hybrid Theory

2002-12-11 Thread Matthias Urlichs
Hi, Raul Miller: > > (Ah, assertions without examples. How helpful.) > > [ Example ] > c wins > c would win without any supermajority rule, so there's no need to remove option A in the first place, so there's no problem. IMHO, option A should only be removed if it would win, but doesn't satisfy

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > If you want a more complicated example, try: > 40 A B C F (A requires 3:1 supermajority, F is the default option) > 10 C B F A > 10 F C B A > which Condorcet would rank as A first, B second, C third and F last; > bu

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 11:51:27AM -0500, Raul Miller wrote: > A defeats b 8:3 > c defeats A 8:3 > b defeats c 6:5 > eliminate 6:5 Sorry, I don't buy this. You're looking to choose amongst A, b, c and N to work out what should be done. A can't win, since it doesn't have supermajority support, leav

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Thu, Dec 12, 2002 at 04:15:55AM +1000, Anthony Towns wrote: > I'm sorry, I didn't follow the special casing you do for "superdefeats". > Here's the corrected example: > > 40 A B C F (A requires 3:1 supermajority, F is the default option) > 10 C B F A > 10 F C A B > > F

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Thu, Dec 12, 2002 at 04:29:49AM +1000, Anthony Towns wrote: > Sorry, I don't buy this. Ok. I'm wondering if other people agree. [I wish Buddha wasn't on vacation, this was his example.] > > > Define "like Condorcet". > > Same outcome as Condorcet for the same votes. > > Heh. Condorcet doesn

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Re: Hybrid Theory

2002-12-11 Thread Buddha Buck
Raul Miller wrote: On Thu, Dec 12, 2002 at 04:29:49AM +1000, Anthony Towns wrote: Sorry, I don't buy this. Ok. I'm wondering if other people agree. [I wish Buddha wasn't on vacation, this was his example.] Sorry... I'm back, but my computer at home is having some problems (old power su

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 02:08:41PM -0500, Raul Miller wrote: > > I'm sorry, I didn't follow the special casing you do for "superdefeats". > False: once again you're eliminating a defeat of an option involved > in a superdefeat, but the proposal requires that the superdefeated > option be eliminated

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 06:48:58PM -0500, Buddha Buck wrote: > A->b->c->A > where A is a supermajority option, and b, c are normal options and the > b->c defeat was the weakest. > (late-dropping): c won, because we discounted the votes of the people > that preferred b over c, but counted the vot

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 07:06:07PM +0100, Matthias Urlichs wrote: > Raul Miller: > > > (Ah, assertions without examples. How helpful.) > > [ Example ] > > c wins > c would win without any supermajority rule, so there's no need to remove > option A in the first place, so there's no problem. Yes, th

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Thu, Dec 12, 2002 at 01:51:34PM +1000, Anthony Towns wrote: > Ah. Same thing still applies though, all you need is some way to make the B > versus C defeat eliminated before you do whatever special casing you have. > > 40 A B C F > 10 A C B F > 10 F C B A > > F superdef

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
> On Tue, Dec 10, 2002 at 02:50:11PM -0500, Raul Miller wrote: > > [b] Gives a result which is less like condorcet than "drop all failed > > supermajority before CpSSD". On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > Uh, how do you figure: > > 40 A B D (A requires 3:1 supe

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > > I don't think such cases exist (I'm working on how to show this). On the > > other hand, there are cases where "drop all failed supermajority before > > CpSSD" gives results which are less like condorcet than "Hybrid Theory". > >

Re: Hybrid Theory

2002-12-11 Thread Matthias Urlichs
Hi, Raul Miller: > > (Ah, assertions without examples. How helpful.) > > [ Example ] > c wins > c would win without any supermajority rule, so there's no need to remove option A in the first place, so there's no problem. IMHO, option A should only be removed if it would win, but doesn't satisfy

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 03:52:13PM +1000, Anthony Towns wrote: > If you want a more complicated example, try: > 40 A B C F (A requires 3:1 supermajority, F is the default option) > 10 C B F A > 10 F C B A > which Condorcet would rank as A first, B second, C third and F last; > bu

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Thu, Dec 12, 2002 at 04:15:55AM +1000, Anthony Towns wrote: > I'm sorry, I didn't follow the special casing you do for "superdefeats". > Here's the corrected example: > > 40 A B C F (A requires 3:1 supermajority, F is the default option) > 10 C B F A > 10 F C A B > > F

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Thu, Dec 12, 2002 at 04:29:49AM +1000, Anthony Towns wrote: > Sorry, I don't buy this. Ok. I'm wondering if other people agree. [I wish Buddha wasn't on vacation, this was his example.] > > > Define "like Condorcet". > > Same outcome as Condorcet for the same votes. > > Heh. Condorcet doesn

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Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 11:51:27AM -0500, Raul Miller wrote: > A defeats b 8:3 > c defeats A 8:3 > b defeats c 6:5 > eliminate 6:5 Sorry, I don't buy this. You're looking to choose amongst A, b, c and N to work out what should be done. A can't win, since it doesn't have supermajority support, leav

Re: Hybrid Theory

2002-12-11 Thread Buddha Buck
Raul Miller wrote: On Thu, Dec 12, 2002 at 04:29:49AM +1000, Anthony Towns wrote: Sorry, I don't buy this. Ok. I'm wondering if other people agree. [I wish Buddha wasn't on vacation, this was his example.] Sorry... I'm back, but my computer at home is having some problems (old power sup

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 02:08:41PM -0500, Raul Miller wrote: > > I'm sorry, I didn't follow the special casing you do for "superdefeats". > False: once again you're eliminating a defeat of an option involved > in a superdefeat, but the proposal requires that the superdefeated > option be eliminated

Re: Hybrid Theory

2002-12-11 Thread Raul Miller
On Thu, Dec 12, 2002 at 01:51:34PM +1000, Anthony Towns wrote: > Ah. Same thing still applies though, all you need is some way to make the B > versus C defeat eliminated before you do whatever special casing you have. > > 40 A B C F > 10 A C B F > 10 F C B A > > F superdef

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 06:48:58PM -0500, Buddha Buck wrote: > A->b->c->A > where A is a supermajority option, and b, c are normal options and the > b->c defeat was the weakest. > (late-dropping): c won, because we discounted the votes of the people > that preferred b over c, but counted the vot

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 07:06:07PM +0100, Matthias Urlichs wrote: > Raul Miller: > > > (Ah, assertions without examples. How helpful.) > > [ Example ] > > c wins > c would win without any supermajority rule, so there's no need to remove > option A in the first place, so there's no problem. Yes, th

Re: Hybrid Theory

2002-12-11 Thread Anthony Towns
On Wed, Dec 11, 2002 at 11:34:32PM -0500, Raul Miller wrote: > On Thu, Dec 12, 2002 at 01:51:34PM +1000, Anthony Towns wrote: > > Ah. Same thing still applies though, all you need is some way to make the B > > versus C defeat eliminated before you do whatever special casing you have. > > 40 A B