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Revenue-sharing contract is used in many industries. However, it is hard to guarantee that the retailer report the sales truly to the supplier. In fact, the retailer has both incentive and opportunity to underreport the sales to reduce the sharing revenue to the supplier. What the supplier should do when meeting with the opportunistic retailer(s)? This paper studies a kind of opportunistic phenomenon in a supply chain in which a supplier sells to a retailer under a revenue-sharing contract. Two settings are discussed. The first one is that the retailer does not, or cannot underreport the sales to the supplier to share when the supplier design a strict auditing mechanism under which no lies allowed. The second one is that the retailer can underreport the sales to the supplier to share under another soft auditing mechanism. Due to the uncertainty of market demand, it is characterized by a fuzzy variable. Interestingly, we find that the supplier's profit is higher in the second setting than the one in the first setting. We hope that the conclusion drawn in the paper can provide a new viewpoint to help the supplier to solve the problem when meeting with an opportunistic retailer in a supply chain under a revenue-sharing contract in uncertain environments.

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Quantum networks, the backbone of the future quantum internet, require flexible and precise control to faithfully share entanglement with different users. These networks will allow multiple applications including distributed quantum computation and information theoretic secure communication. In this scenario, orbital angular momentum (OAM) can be employed to enhance the capacity of quantum information processing and to distribute quantum entanglement in an efficient and scalable way with multiple users. Here, a method for realizing a multiplexed continuous variable (CV) quantum entanglement distribution based on a four‐wave mixing process combined with an active routing technique is experimentally demonstrated. By exploiting Sagnac‐based OAM sorters, the OAM entanglement can be distributed and measured with the different users in a quasi‐complete star network configuration. The generations of multiple sets of OAM multiplexed bipartite CV entanglement with four users and six users are proposed and demonstrated here. In addition, the propagation of one mode through a 1 km of single‐mode fiber shows the applicability of this approach. These results propose and demonstrate a new method for distributing CV entanglement in a quantum network enlarging the range of applicability of CV quantum information protocols.