Diffusion Mechanism Design in Tree-Structured Social Network

Feiyang Yu
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Abstract

We design a fixed-price auction mechanism for a seller to sell multiple items in a tree-structured market. The buyers have independently drawn valuation from a uniform distribution, and the seller would like to incentivize buyers to invite more people to the auction. We prove that our mechanism is individual rational, and incentivize compatible with regard to the buyers' action. Furthermore, we show the approximation ratio of our mechanism to the optimal fixed-price auction in two ways, theoretically and via Monte-Carlo simulation, and show a high practical ratio. Finally, we discuss several factors affecting the behavior of our mechanism and its feasibility in reality.
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树状结构社交网络中的扩散机制设计
我们设计了一种固定价格拍卖机制,让卖方在树状结构的市场上出售多种物品。买方从均匀分布中独立抽取估值,卖方希望激励买方邀请更多的人参加拍卖。我们证明了我们的机制是个人理性的,并且与买方的行为激励相容。此外,我们通过理论和蒙特卡洛模拟两种方法展示了我们的机制与最优固定价格拍卖的近似率,并显示了较高的实用率。最后,我们讨论了影响我们机制行为的几个因素及其在现实中的可行性。
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