We study pricing mechanisms for low-latency payload delivery in settings where participant rewards depend on the time required to reconstruct a payload. In such environments, the decoding time distribution determines deadline-meeting probabilities and therefore bounds a participant's willingness to pay for additional delivery rate. Using a mean-field formulation, we derive price-rate bounds from simple stochastic arrival models and instantiate them for (i) unsharded transmission and (ii) sharded delivery under three regimes: uncoded sharding, fixed-rate erasure coding, and rateless coding. These bounds yield a comparative characterization of how symbol usefulness translates into economic value under deadline-driven utilities. We further analyze a two-lane service consisting of a base lane and a Random Linear Network Coding (RLNC) fast lane. In this turbo decoding setting, a receiver combines shards arriving via both lanes to minimize time to decode. Under a fixed base-lane price-rate pair and an aggregate rate constraint, we derive a fast-lane pricing bound and show how even modest additional RLNC rate can generate measurable utility gains, depending on the base-lane propagation regime. The framework extends naturally to stepwise reward schedules with multiple deadlines, and we illustrate its applicability on representative scenarios motivated by blockchain message dissemination and latency-sensitive competition.
翻译:我们研究了低延迟载荷交付场景中的定价机制,其中参与者的奖励取决于重建载荷所需的时间。在此类环境中,解码时间分布决定了截止时间满足概率,进而限制了参与者为额外交付速率愿意支付的费用。通过平均场方法,我们基于简单随机到达模型推导出价格-速率边界,并将其应用于三种场景:(i)无分片传输和(ii)分片交付,分别对应无编码分片、固定速率纠删编码和无速率编码三种体制。这些边界揭示了符号效用如何在截止时间驱动的效用函数下转化为经济价值的比较特性。我们进一步分析了由基础通道和随机线性网络编码(RLNC)快通道构成的双通道服务。在这种涡轮解码场景中,接收器结合通过两个通道到达的分片以最小化解码时间。在固定基础通道价格-速率对及总速率约束下,我们推导了快通道定价边界,并展示了即使适度增加RLNC速率也能根据基础通道传播体制产生可量化的效用增益。该框架可自然扩展至包含多个截止时间的分步奖励调度,我们通过区块链消息传播与延迟敏感竞争场景的典型案例验证了其适用性。