如果不同部门互为鷸蚌，公开辩论，公开博弈，身为"渔翁"的公众必会获益匪浅
博弈 is to play chess game and I understand what it refers to here but I just can't find a term that fits well. Thanks.
1892 tr. Bismarck in Ann. Reg. 1891 284, I should like to interfere in such cases, like a parish beadle bringing peace, and prove that the tertius gaudens is the worst enemy. 1933 G. Arthur Septuagenarian's Scrap Bk. 39 Having ascertained from M. Bompard+that France would flatly refuse+to be a tertius gaudens with Germany and Russia. 1957 R. K. Merton Social Theory (rev. ed.) ii. ix. 376 The occupant of the status+can become cast in the role of the tertius gaudens. 1974 ‘M. Innes’ Mysterious Commission xix. 170 He saw himself as a kind of third force—or even as what the learned would call a tertius gaudens, meaning a chap who nips in and does both contending sides down. 1980 D. Newsome On Edge of Paradise v. 160 It would be better for them both to withdraw to allow the election of a tertius gaudens.
-------------------------------------------------- Note added at 6 hrs (2006-03-01 08:45:09 GMT) --------------------------------------------------
My tentative venture:
With different departments/divisions competing and debating against/with each other in a fair and open environment for the gaming rules, the general public/masses will benefit most as a form of tertius gaudens.
-------------------------------------------------- Note added at 13 hrs (2006-03-01 16:09:04 GMT) --------------------------------------------------
Oops. benefit most FROM...
Also the definition for 'teritus gaudens' in OED: A third party benefiting by the conflict or estrangement of two others.
-------------------------------------------------- Note added at 14 hrs (2006-03-01 16:17:34 GMT) --------------------------------------------------
If the rules of a fair game are followed and different departments are able to compete and debate with each other, a tertius gaudens can be expected to benefit the masses most.
-------------------------------------------------- Note added at 14 hrs (2006-03-01 16:28:50 GMT) --------------------------------------------------
Compliance with the fair rules of game theory will enable different departments to compete and debate in the open, resulting in a tertius gaudens to benefit the masses most.
Last Hermit, my understanding is that this process involves 'action', 'reaction', 'wit' and 'strategy', just like playing chess. I can't think of a word that can convey the entire meaning.
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回答
1小时 信心度： 同仁同意（净值）： +2
open competition
说明： open competition - my suggestion
Will Wong 美国 母语： English英语, Chinese汉语 此类别中专业问题的积分： 4
5小时 信心度： 同仁同意（净值）： +1
openly winning a game of chess
说明： Just a suggestion
Shilpi Jain 印度 Local time: 09:38 在该领域工作 母语： English英语
1892 tr. Bismarck in Ann. Reg. 1891 284, I should like to interfere in such cases, like a parish beadle bringing peace, and prove that the tertius gaudens is the worst enemy. 1933 G. Arthur Septuagenarian's Scrap Bk. 39 Having ascertained from M. Bompard+that France would flatly refuse+to be a tertius gaudens with Germany and Russia. 1957 R. K. Merton Social Theory (rev. ed.) ii. ix. 376 The occupant of the status+can become cast in the role of the tertius gaudens. 1974 ‘M. Innes’ Mysterious Commission xix. 170 He saw himself as a kind of third force—or even as what the learned would call a tertius gaudens, meaning a chap who nips in and does both contending sides down. 1980 D. Newsome On Edge of Paradise v. 160 It would be better for them both to withdraw to allow the election of a tertius gaudens.
-------------------------------------------------- Note added at 6 hrs (2006-03-01 08:45:09 GMT) --------------------------------------------------
My tentative venture:
With different departments/divisions competing and debating against/with each other in a fair and open environment for the gaming rules, the general public/masses will benefit most as a form of tertius gaudens.
-------------------------------------------------- Note added at 13 hrs (2006-03-01 16:09:04 GMT) --------------------------------------------------
Oops. benefit most FROM...
Also the definition for 'teritus gaudens' in OED: A third party benefiting by the conflict or estrangement of two others.
-------------------------------------------------- Note added at 14 hrs (2006-03-01 16:17:34 GMT) --------------------------------------------------
If the rules of a fair game are followed and different departments are able to compete and debate with each other, a tertius gaudens can be expected to benefit the masses most.
-------------------------------------------------- Note added at 14 hrs (2006-03-01 16:28:50 GMT) --------------------------------------------------
Compliance with the fair rules of game theory will enable different departments to compete and debate in the open, resulting in a tertius gaudens to benefit the masses most.
Last Hermit 中国大陆 Local time: 12:08 母语： Chinese汉语 此类别中专业问题的积分： 8
Grading comment
Thank you as always.
12小时 信心度： 同仁同意（净值）： +2
open game
说明： When it comes to "博弈",there's only one term "Game" from ecnomic theories as one of the result of the popularization of economics.Also ,Game can be called 对策 but not very common.
And as you mentioned above,Game is the very term to express your mean,such as 'action', 'reaction', 'wit' and 'strategy'.It does just like playing chess,but there's no 下棋's businese.
So ,here's my try:
Departments play the two dogs fight a bone through public debates and open games,and the public will run aways with it.
I translated this with a little inspiration from the saying:
two dogs fight for a bone, and a third runs aways with it.for the most people can understand it.
The translation workplace 
同仁同意（净值）： +2
