陈旭瑾与合作者论文Mechanisms for dual-role-facility location games: Truthfulness and approximability被THEORETICAL COMPUTER SCIENCE接收发表

2023-01-10 | 撰稿: | 浏览:

摘要:This paper studies the dual-role-facility location game with generalized service costs, in which every agent plays a dual role of facility and customer, and is associated with a facility opening cost as his private information. The agents strategically report their opening costs to a mechanism which maps the reports to a set of selected agents and payments to them. Each selected agent opens his facility, incurs his opening cost and receives the payment the mechanism sets for him. Each unselected agent incurs a services cost that is determined by the set of selected agents in a very general way. The mechanism is truthful if under it no agent has an incentive to misreport. We provide a necessary and sufficient condition for mechanisms of the game to be truthful. This characterization particularly requires an invariant service cost for each unselected agent, which is a remarkable difference from related work in literature. As applications of this truthfulness characterization, we focus on the classic metric-space setting, in which agents' service costs equal their distances to closest open facilities. We present truthful mechanisms that minimize or approximately minimize the maximum cost among all agents and the total cost of all agents, respectively. Moreover, when the total payment cannot exceed a given budget, we prove, for both cost-minimization objectives, lower and upper bounds on approximation ratios of truthful mechanisms that satisfy the budget constraint.

科研进展中国科学院数学与系统科学研究院应用数学研究所
地址 北京市海淀区中关村东路55号 思源楼6-7层 南楼5-6、8层 100190
@2000-2022 京ICP备05058656号-1