[EM] Exact spatial model probabilities?

[Daniel Carrera]

On Thu, Jan 27, 2022 at 3:55 PM Forest Simmons <forest.simmons21 at gmail.com>
wrote:

>
>
> El jue., 27 de ene. de 2022 1:44 a. m., Daniel Carrera <dcarrera at gmail.com>
> escribió:
>
>>
>>
>> On Wed, Jan 26, 2022 at 1:30 PM Forest Simmons <
>> forest.simmons21 at gmail.com> wrote:
>>
>>> I should probably give more of an explanation for the choice of the
>>> atomic electo-potential, i.e. the scalar potential function V(r) for one
>>> voter located at R:
>>>
>>> V(r)=||r-R||
>>>
>>
> You must have read this as V(r)=1/||r-R||, which would yield the inverse
> square law of force,
>


Ugh... indeed I did. My bad.



> But the V(r) actually written gives a force of -grad||r-R||=(R-r)/||R-r||
> a unit force pointed towards the voter position. Each voter exerts the same
> amount influence, but different direction depending on the position of the
> voter.
> ...
> Hook's law gives more influence to the distant voter.
>
> Think about voters distributed along a straight line ... Hook's law would
> choose the mean voter candidate instead of the median. The extreme voters
> would have undue influence.
>


Yeah, I'm convinced. Your constant force idea is much better.

Cheers,
-- 
Dr. Daniel Carrera
Postdoctoral Research Associate
Iowa State University
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