后备投票中的参数化控制复杂性
Parameterized Control Complexity in Fallback Voting
摘要:
我们研究了参数化控制的复杂性回退投票,一个投票系统,结合了基于偏好的批准投票。选举控制是外部代理人篡改选举结果的许多不同方式之一。我们证明了在后备投票中添加和删除候选人对于建设性和破坏性的情况都是W[2]-困难的,由外部代理所采取的行动量来参数化。此外,我们表明,增加和删除选民在后备投票是W[2]-难的建设性的情况下,参数化的外部代理所采取的行动的数量,并在FPT的破坏性的情况下。
英文摘要:
We study the parameterized control complexity of fallback voting, a voting system that combines preference-based with approval voting. Electoral control is one of many different ways for an external agent to tamper with the outcome of an election. We show that adding and deleting candidates in fallback voting are W[2]-hard for both the constructive and destructive case, parameterized by the amount of action taken by the external agent. Furthermore, we show that adding and deleting voters in fallback voting are W[2]-hard for the constructive case, parameterized by the amount of action taken by the external agent, and are in FPT for the destructive case.
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