Timeline for When is a game tree the game tree of a board game?
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| Dec 25, 2017 at 19:35 | history | edited | usul | CC BY-SA 3.0 |
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| Dec 25, 2017 at 19:27 | comment | added | SSequence | No, I didn't have a specific game in mind. Well when you wrote in the beginning of answer: "A piece occupies a single location on the board at a given time." ... it seems to me that is pretty clear in saying that there can be only one piece on a location (at a given instant of time). Anyway, this is not that important I think. Furthermore if the phrase "legal moves" that you used in the definition of simplicity means all "reachable locations" it seems to me that the simplcity condition is violated for the question I asked in the first comment (one can make slight generalisations if required). | |
| Dec 25, 2017 at 19:09 | comment | added | usul | @SSequence I haven't thought it all out and don't cling too strongly to these consistency/simplicity conditions! One note, I didn't mean to rule out multiple pieces occupying the same location. Do you have a board game in mind that looks like this? One way this formalism could apply is to have a separate "air location" and "ground location" for each physical spot on the board; the air units occupy the air locations etc. | |
| Dec 25, 2017 at 18:47 | comment | added | SSequence | Sorry, but you can disregard my point about "ground and a aerial unit can occupy the same position" in the last comment. I assume it will violate your more basic condition of a piece occupying a single position at a given instant of time. The question really was about the ability of aerial units to move "through" ground units (and vice versa). | |
| Dec 25, 2017 at 18:23 | comment | added | SSequence | You have probably thought-out this well, but just a small question. Suppose a board-game with two "layers" of "air" and "ground". Say the ground pieces are "ground units" and air pieces are "aerial units". Two aerial units (and similarly two ground units) can't occupy the same position but a ground and a aerial unit can. Similarly, during movement suppose some "specific" aerial unit (say that moves like a "bishop") can disregard positions of ground units in its way, but not of the aerial units. Would your condition of simplicity be satisfied or not in that case? | |
| Dec 25, 2017 at 17:44 | history | answered | usul | CC BY-SA 3.0 |