Talk:Blotto games

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Either the wording's wrong, or a major mistake has been made in this article. That's because battlefields, in real life, are ordered. Thus, while (1;2;3) ties with (1;1;4), (3;2;1) wins against (1;1;4). Dex Stewart (talk) 22:53, 9 January 2008 (UTC)

Yes, battlefields are ordered, but that doesn't preclude constraints (such as: battlefield 'A' can not be allocated fewer resources than battlefield 'B', etc.). JocK (talk) 18:01, 10 January 2008 (UTC)

Well, then there are more than three choices for playing with 6 soldiers and 3 battlefields, are there not? The article states there are only three. Dex Stewart (talk) 16:53, 18 January 2008 (UTC)

Perhaps this is not stated clear enough in the article? Labelling the battlefields A, B and C, and denoting the number of soldiers allocated to battlefield x by N(x), then under the constraints Sum N(x) = 6, each N(x) > 0, and N(A) ≥ N(B) ≥ N(C) only three allocations are allowed:

(N(A), N(B), N(C)) = (2, 2, 2), (3, 2, 1) and (4, 1, 1). JocK (talk) 10:30, 19 January 2008 (UTC)