Group Recommendations: Axioms, Impossibilities, and Random Walks

Omer Lev, Moshe Tennenholtz
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引用次数: 4

Abstract

We introduce an axiomatic approach to group recommendations, in line of previous work on the axiomatic treatment of trust-based recommendation systems, ranking systems, and other foundational work on the axiomatic approach to internet mechanisms in social choice settings. In group recommendations we wish to recommend to a group of agents, consisting of both opinionated and undecided members, a joint choice that would be acceptable to them. Such a system has many applications, such as choosing a movie or a restaurant to go to with a group of friends, recommending games for online game players, & other communal activities. Our method utilizes a given social graph to extract information on the undecided, relying on the agents influencing them. We first show that a set of fairly natural desired requirements (a.k.a axioms) leads to an impossibility, rendering mutual satisfaction of them unreachable. However, we also show a modified set of axioms that fully axiomatize a group variant of the random-walk recommendation system, expanding a previous result from the individual recommendation case.
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小组建议:公理、不可能性和随机漫步
我们引入了一种公理化方法来进行群体推荐,这与之前关于基于信任的推荐系统、排名系统的公理化处理的工作以及其他关于社会选择环境下互联网机制公理化方法的基础工作是一致的。在小组建议中,我们希望向由固执己见和犹豫不决的成员组成的一组代理人建议一种他们可以接受的共同选择。这样的系统有很多应用,比如和一群朋友一起选择电影或餐馆,为在线游戏玩家推荐游戏,以及其他公共活动。我们的方法利用给定的社会图来提取未决定的信息,依赖于影响他们的代理。我们首先展示了一组相当自然的期望需求(又名公理)导致不可能性,使得它们的相互满足无法实现。然而,我们也展示了一组改进的公理,这些公理完全公理化了随机行走推荐系统的一个群体变体,扩展了之前来自个体推荐案例的结果。
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