Grouping Moving Games

[Kmikaeli]

I figured out that grouping games where the slot base is said to have a fixed number of variables (for example 3 committees with 3 members in each slot) is a fixed grouping game since it does not shift. While moving games essentially establish a slot base with (lets just say as an example) a minimum requirement of 2 variables per each of the 3 slots . This is where a numerical distribution is established and we know thus the game is moving based on the possibility of establishing different distribution patterns.

However, how do we apply such a technique to Defined Moving SUBDIVIDED VARIABLE games

example such as GAME #8 JUNE 1994 QUESTIONS 12-19 of the logical game type volume 1 practice booklet.


ALSO, the fixed and unfixed aspect of numerical distribution chapter is overarching with my understanding of grouping games theory on fixed and moving systems.

[Adam Tyson]

Good question, and a fun game that I haven't played with in a while, so thanks for the opportunity to do so!

One way to deal with the shifting numerical distribution between variable sets (the homeowners and the tenants in this game) is to use two fixed numerical distributions - the game is either a 3-2 or a 2-3 split between those subsets. However, I find that a bit confusing, because it tends to make me think of the game as having two groups, rather than a single group with variables drawn from two subsets.

For that reason, I chose instead to borrow from our "hurdling the uncertainty" approach and "reserve" two spaces each for H(omeowners) and T(enants), leaving the last space available for a variable from either set. It looks something like this:

__ __ : __ __ : __
..(H)....(T)...(H/T)

(the dotted lines aren't needed on your diagram - that was just the only way I could think of to make it look right in this forum!)

I find that a visual representation like this really helps keep me in line and makes sure that I neither shortchange one set or over-represent a set. This comes up in a lot of these games with subsets of variables (antibiotics, diets and physical therapies comes to mind).

See if that approach helps you out, and come back for more questions as you play with it and refine it. Good luck!

[Kmikaeli]

I thought of it as this way: So, moving games occur when there is a a shift occurring within the sub-groups or the group itself. Within this specific game there is a shift within the group as a whole where 2 spaces are reserved for a homeowner or a tenant depending on the question. Therefore, the subdivided variables along with first rule (where exact 2 for chairperson) allow me to figure that the game is moving and not solidified. The inner sub-group of the spaces per slot space aren't moving but the slot base themselves are. We know 1 person is reserved per each slot, but the group is moving where each space is reserved in a 2-3 fashion or a 3-2 fashion.

[Nicholas Bruno]

That looks correct! I am sorry if I am missing a question you are having: Please let me know if you were able to try the game again and if you are still having trouble!

[Kmikaeli]

Haha, no I get the main aspect of it. I was paying attention to grouping games by looking at it from a uniform variable perspective, but with subdivided variables and a type of rule based on seperation, a group can move and create 2 different patterns of distribution.

[Nicholas Bruno]

Ok great! Just making sure