Parameterization of Strategy-Proof Mechanisms in the Obnoxious Facility Game

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Parameterization of Strategy-Proof Mechanisms in the Obnoxious Facility Game

In the obnoxious facility game, a location for an undesirable facility is to be determined based on the voting of selfish agents. Design of group strategy proof mechanisms has been extensively studied, but it is known that there is a gap between the social benefit (i.e., the sum of individual benefits) by a facility location determined by any group strategy proof mechanism and the maximum socia...

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In this paper, we study the (group) strategy-proofness of deterministic mechanisms in the obnoxious facility game. In this game, given a set of strategic agents in a metric, we design a mechanism that outputs the location of a facility in the metric based on the locations of the agents reported by themselves. The benefit of an agent is the distance between her location and the facility and the ...

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In the problem of obnoxious facility location, an obnoxious facility is located in an area. To maximize the social welfare, e.g., the sum of distances from all the agents to the facility, we have to get the true locations of each agent. However, each agent may misreport his/her location to stay far away from the obnoxious facility. In this paper, we design strategy-proof mechanisms on locating ...

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Characterizing Output Locations of GSP Mechanisms to Obnoxious Facility Game in Trees

In the obnoxious facility game with a set of agents in a space, we wish to design a mechanism, a decision-making procedure that determines a location of an undesirable facility based on locations reported by the agents, where we do not know whether the location reported by an agent is where exactly the agent exists in the space. For a location of the facility, the benefit of each agent is defin...

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Characterizing GSP Mechanisms to Obnoxious Facility Game in Trees via Output Locations

In the obnoxious facility game with a set of agents in a space, we wish to design a mechanism, a decision-making procedure that determines a location of an undesirable facility based on locations reported by the agents, where we do not know whether the location reported by an agent is where exactly the agent exists in the space. For a location of the facility, the benefit of each agent is defin...

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ژورنال

عنوان ژورنال: Journal of Graph Algorithms and Applications

سال: 2017

ISSN: 1526-1719

DOI: 10.7155/jgaa.00415