The work at hand presents a finite-blocklength analysis of the multiple access channel (MAC) sum-rate under the cooperation facilitator (CF) model. The CF model, in which independent encoders coordinate through an intermediary node, is known to show significant rate benefits, even when the rate of cooperation is limited. We continue this line of study for cooperation rates which are sub-linear in the blocklength $n$. Roughly speaking, our results show that if the facilitator transmits $\log{K}$ bits, there is a sum-rate benefit of order $\sqrt{\log{K}/n}$. This result extends across a wide range of $K$: even a single bit of cooperation is shown to provide a sum-rate benefit of order $1/\sqrt{n}$.

翻译：手头的工作根据合作促进者(CF)模式,对多种准入渠道(MAC)总和率进行了有限区段分析,据了解,独立编码员通过中间节点进行协调的CF模式显示出很高的费率效益,即使合作率有限,我们继续这一研究路线,研究以区段长度为美元分线的合作费率。粗略地说,我们的结果显示,如果促进者传送$\log{K}美元比特,则有美元/n美元等价的订单的总和利率收益,这一结果涉及范围广泛的1K美元:即使一小部分合作也显示提供了1美元/sqrt{n美元等价的总值效益。