[EM] Monotonicity Reference?

[Alex Small]

Hi everybody.  I know I haven't posted much for quite some time.  Right now I'm working on a paper on a result in strategic voting.  I'll post the result once I've written the paper and checked the logic of the proof carefully.  For now, I'm hoping somebody can help me with a reference:
   
  At one point in my proof I invoke the concept of monotonicity.  I define a method as monotonic if a voter (or group of voters casting identical ballots) cannot cause the winning candidate to lose by ranking him higher (while leaving the relative order of the other candidates unchanged), nor can they cause a losing candidate to win by ranking him lower (while leaving the relative order of the other candidates unchanged).
   
  I've heard that there are multiple monotonicity definitions out there.  Can somebody point me to a reference that discusses the definition that I'm using, or perhaps one that carefully distinguishes the definitions (so that I can sharpen the definition in the paper)?

Thanks for any references that you guys can provide.
   
  

Alex Small

		
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