Between Discord and Deadlock: Consensus Under a Deadline
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Committees are an important scenario for reaching consensus. Beyond standard consensus-seeking issues, committee decisions are complicated by a deadline, e.g., the next start date for a budget, or the start of a semester. In committee hiring decisions, it may be that if no candidate is supported by a strong majority, the default is to hire no one---an option that may cost committee members dearly. As a result, committee members might prefer to agree on a reasonable, if not necessarily the best, candidate, to avoid unfilled positions. In this paper we propose a model for the above scenario---Consensus Under a Deadline (CUD)---based on a time-bounded iterative voting process. We explore theoretical features of CUDs, particularly focusing on convergence guarantees and quality of the final decision. An extensive experimental study demonstrates more subtle features of CUDs, e.g., the difference between two simple types of committee member behavior, lazy vs. proactive voters. Finally, a user study examines the differences between the behavior of rational voting bots and real voters, concluding that it may often be best to have bots play on the voters' behalf.
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