We investigate an iterative deliberation process for an agent community wishing to make a joint decision. We develop a general model consisting of a community of n agents, each with their initial ideal point in some metric space (X, d), such that in each iteration of the iterative deliberation process, all agents move slightly closer to the current winner, according to some voting rule R. For several natural metric spaces and suitable voting rules for them, we identify conditions under which such an iterative deliberation process is guaranteed to converge.

中文翻译：

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通过度量聚合进行迭代审议

我们调查了希望做出联合决定的代理社区的迭代审议过程。我们开发了一个由 n 个代理组成的社区的通用模型，每个代理在某个度量空间 (X, d) 中都有其初始理想点，这样在迭代审议过程的每次迭代中，所有代理都稍微靠近当前的赢家，根据一些投票规则 R。对于几个自然度量空间和适合它们的投票规则，我们确定了保证这种迭代审议过程收敛的条件。