Good Afternoon, Owen

re: "The problem I am facing is a difference in name recognition
     between Groups A and D. Group C has the distinction of
     having overlapped with everybody, and having spanned as much
     time in the fellowship as both Groups B and D. So candidates
     from Group C are known best, and Group B is known by
     everyone, too. Group A would seem to be at the worst
     disadvantage, since members of their group may have formed
     opinions of group D simply by virtue of having paid
     attention to the fellowship after their own graduation, and
     this is implausible in the reverse."

This statement of the problem suggests you want to be sure every member has an equal opportunity to be elected, When you refer to 'name recognition', you seem to be referring to the qualities the names represent, in the sense of each person's perceived fitness for election. If so, fairness --- and good sense --- dictates that each member have an opportunity to present their 'name' in a way that generates a positive perception of themselves. Stated another way, each member needs a chance to persuade their peers they have the qualities deemed desirable for election.

When persuasion occurs between two people, it takes place as a dialogue with one person attempting to persuade the other. In such events, both parties are free to share in the process. The person to be persuaded can question the persuader as to specific points and present alternative points about the topic under discussion. Under such circumstances, it is possible that the persuader will become the persuaded.

When persuasion involves multiple people, as in campaign situations, there is a greater tendency for it to occur as a monologue. The transition from dialogue to monologue accelerates as the number of people to be persuaded increases. The larger the number of people, the less free some are to participate. They have fewer opportunities and are less inclined to question points or offer alternatives. The campaigners dominate the discussion and the viewpoints of the less assertive members are suppressed. In such cases, campaigners are less likely to be persuaded of the wisdom of an alternative view, because that view will neither be expressed nor discussed.

To ensure fairness, and to accomplish a broad expression of views, an electoral process that encourages dialogue is preferable to one that relies on a monologue. Having fewer people in the "session of persuasion" encourages even the most reticent members to participate. The optimum group size to encourage active involvement by all participants when a decision must be made is three, and that can be easily implemented in the circumstances you describe.

To illustrate, we'll use numbers and upper and lowercase letters to represent the 45 individuals, like this:

|<--GroupA-->|   |<-GroupB->|  |GroupC|  |<-GroupD-->|
ABCDEFGHIJKLMN   OPQRSTUVWXYZ   123456   abcdefghijklm

and sort the members into 15 groups of 3 members each. This will produce 15 triads, something like this:

hUY VI5 lZN AEM d4H 13K eGF PSj cgJ XD2 CIR kmT QWa 6fb OLB

The leftmost triad has one member from Group D and two members from Group B. The next triad has one member from Group B, one from Group A, and one from Group C. The rest are similarly configured.

Give the triad members a period of time to become acquainted with each other and determine which of the three they believe most qualified for a seat. Then let them choose the individual they prefer. We will use random choices to simulate the selection process ...

 Y   5   Z   M   H   1   G   P   g   D   C   k   W   b   L
 |   |   |   |   |   |   |   |   |   |   |   |   |   |   |
hUY VI5 lZN AEM d4H 13K eGF PSj cgJ XD2 CIR kmT QWa 6fb OLB

... but in real life, the choices will reflect the decisions of the triad members. This method ensures that all members ...

* have an opportunity to persuade their peers they have the
  qualities needed for election

* are able to examine their peers and make informed decisions
  about them instead of relying on whatever perceptions they have
  been able to glean in an informal atmosphere.

Perceptions vary; they are influenced by a multitude of factors. It is possible the most fit individual will inspire an adverse perception because of physical features, manner of speech, or other inconsequential peculiarities. The best way to discern a person's qualities is through face-to-face interaction, as described here.

This description happens to work naturally because the 15 people elected are exactly one-third of the 45 graduates. In other circumstances, that will not be the case. There are simple rules for handling the irregularities that occur in different settings. I can describe them, if you wish.

This concept is a change from current electoral practice and the various attempts to achieve fairness through mathematics. Instead, it replaces campaigning with critical evaluation. Several thoughtful people have recognized the need for such a change:

* John Dewey
  The old saying that the cure for the ills of democracy is more
  democracy is not apt if it means that the evils may be remedied
  by introducing more machinery of the same kind as that which
  already exists, or by refining and perfecting that machinery.

* Jane Junn
  We must ask whether citizens are being presented with adequate
  resources to act, and how we might re-envision the incentives
  for political engagement to be more inclusive of all citizens.

* Alasdair MacIntyre
  Human beings, as the kind of creatures we are, need the
  internal goods/goods of excellence that can only be acquired
  through participation in politics if we are to flourish.
  Therefore, everyone must be allowed to have access to the
  political decision-making process.

The described method ensures that the effect of extraneous matters, such as station in life, ideology, wealth and popularity is reduced. Every member has an equal opportunity to influence the election. The success of one's desire for election and the extent of one's influence on their peers depends solely on each member's own qualities.

I hope you find this material of some value,

Fred Gohlke
----
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