We propose the problem of wiretapped commitment, where two parties, say committer Alice and receiver Bob, engage in a commitment protocol using a noisy channel as a resource, in the presence of an eavesdropper, say Eve. Noisy versions of Alice's transmission over the wiretap channel are received at both Bob and Eve. We seek to determine the maximum commitment throughput in the presence of an eavesdropper, i.e., wiretapped commitment capacity, where in addition to the standard security requirements for two-party commitment, one seeks to ensure that Eve doesn't learn about the commit string. A key interest in this work is to explore the effect of collusion (or lack of it) between the eavesdropper Eve and either Alice or Bob. Toward the same, we present results on the wiretapped commitment capacity under the so-called 1-private regime (when Alice or Bob cannot collude with Eve) and the 2-private regime (when Alice or Bob may possibly collude with Eve).

翻译：本文提出窃听承诺问题：在存在窃听者（设为Eve）的情况下，两个参与方（承诺方Alice与接收方Bob）利用噪声信道作为资源执行承诺协议。Alice通过窃听信道传输的信息会以含噪版本同时被Bob和Eve接收。我们旨在确定存在窃听者时的最大承诺吞吐量，即窃听承诺容量。除了满足两方承诺的标准安全性要求外，还需确保Eve无法获知承诺字符串。本工作的核心关注点在于探究窃听者Eve与Alice或Bob之间合谋（或非合谋）关系的影响。为此，我们分别给出了在所谓1-私密机制（当Alice或Bob无法与Eve合谋时）与2-私密机制（当Alice或Bob可能与Eve合谋时）下的窃听承诺容量结果。