Divide and conquer: false-name manipulations in weighted voting games
Proceedings of the 7th international joint conference on Autonomous agents and multiagent systems - Volume 2
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
Characterizing false-name-proof allocation rules in combinatorial auctions
Proceedings of The 8th International Conference on Autonomous Agents and Multiagent Systems - Volume 1
Approximate mechanism design without money
Proceedings of the 10th ACM conference on Electronic commerce
Strategy-proof allocation of multiple items between two agents without payments or priors
Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems
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Mechanism design studies how to design mechanisms that result in good outcomes even when agents strategically report their preferences. In traditional settings, it is assumed that a mechanism can enforce payments to give an incentive for agents to act honestly. However, in many Internet application domains, introducing monetary transfers is impossible or undesirable. Also, in such highly anonymous settings as the Internet, declaring preferences dishonestly is not the only way to manipulate the mechanism. Often, it is possible for an agent to pretend to be multiple agents and submit multiple reports under different identifiers, e.g., by creating different e-mail addresses. The effect of such false-name manipulations can be more serious in a mechanism without monetary transfers, since submitting multiple reports would have no risk. In this paper, we present a case study in false-name-proof mechanism design without money. In our basic setting, agents are located on a real line, and the mechanism must select the location of a public facility; the cost of an agent is its distance to the facility. This setting is called the facility location problem and can represent various situations where an agent's preference is single-peaked. First, we fully characterize the deterministic false-name-proof facility location mechanisms in this basic setting. By utilizing this characterization, we show the tight bounds of the approximation ratios for two objective functions: social cost and maximum cost. We then extend the results in two natural directions: a domain where a mechanism can be randomized and a domain where agents are located in a tree. Furthermore, we clarify the connections between false-name-proofness and other related properties.