[EM] Group strategy (was Re: Approval Voting elections don't always have an equilibrium)

2005-12-24 Thread Steve Eppley
Much of the work on strategy-proofness and equilibria is only about *individuals* not having an incentive to change their own vote, given an assumption that no one else' vote will change. That neglects the incentive for a (coordinated) group to change their votes, as in Jan Kok's example

Re: [EM] Approval Voting elections don't always have an equilibrium

2005-12-24 Thread Rob LeGrand
Jan wrote: So, it seems an Approval election can have NO equilibrium, and obviously there will often be ONE equilibrium. Question: can there be more than one equilibrium? Yes, but I believe it requires sincere tied preferences. Given the sincere rankings 49:AB=C 21:BCA 30:CBA there are two

Re: [EM] Approval Voting elections don't always have an equilibrium

2005-12-24 Thread Paul Kislanko
"I'm a little curious, since you seem to talk about multiple voters switching their vote togethermaybe this really represents a situation where there are multiple equilibriums, as opposed to no equilibriums?" On the surface, "multiple equilibria" is kind of an oxymoron, but the notion

Re: [EM] Approval Voting elections don't always have an equilibrium

2005-12-24 Thread rob brown
On 12/24/05, Paul Kislanko [EMAIL PROTECTED] wrote: Rob Brown wrote: I'm a little curious, since you seem to talk about multiple voters switching their vote togethermaybe this really represents a situation where there are multiple equilibriums, as opposed to no equilibriums? On the

Re: [EM] Approval Voting elections don't always have an equilibrium

2005-12-24 Thread Paul Kislanko
I am definitely not intending an argument but once again we've hit upon how slippery the language can be without proper context. In physical sciences, "there are 11 equilibria" would be expressed as there is no "equilibrium but there are 11 stable solutions to the system." Perhaps "never