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The emergence of coordination in public good games

机译:公益游戏中协调的出现

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In physical models it is well understood that the aggregate behaviour of a system is not in one to one correspondence with the behaviour of the average individual element of that system. Yet, in many economic models the behaviour of aggregates is thought of as corresponding to that of an individual. A typical example is that of public goods experiments. A systematic feature of such experiments is that, with repetition, people contribute less to public goods. A typical explanation is that people "learn to play Nash" or something approaching it. To justify such an explanation, an individual learning model is tested on average or aggregate data. In this paper we will examine this idea by analysing average and individual behaviour in a series of public goods experiments. We analyse data from a series of games of contributions to public goods and as is usual, we test a learning model on the average data. We then look at individual data, examine the changes that this produces and see if some general model such as the EWA (Expected Weighted Attraction) with varying parameters can account for individual behaviour. We find that once we disaggregate data such models have poor explanatory power. Groups do not learn as supposed, their behaviour differs markedly from one group to another, and the behaviour of the individuals who make up the groups also varies within groups. The decline in aggregate contributions cannot be explained by resorting to a uniform model of individual behaviour. However, the Nash equilibrium of such a game is a total payment for all the individuals and there is some convergence of the group in this respect. Yet the individual contributions do not converge. How the individuals "self-organsise" to coordinate, even in this limited way remains to be explained.
机译:在物理模型中,众所周知,系统的总体行为与该系统的平均单个元素的行为并不一一对应。但是,在许多经济模型中,集合体的行为被认为与个人的行为相对应。一个典型的例子是公共产品实验。这种实验的一个系统性特征是,人们不断重复对公共物品的贡献减少。一个典型的解释是人们“学会玩纳什”或接近它的东西。为了证明这种解释的正确性,对平均或汇总数据测试了单个学习模型。在本文中,我们将通过分析一系列公共物品实验中的平均行为和个人行为来检验这种想法。我们分析来自一系列对公共物品的贡献的博弈中的数据,并且像往常一样,我们在平均数据上测试学习模型。然后,我们查看单个数据,检查由此产生的变化,并查看某些具有变化参数的通用模型(例如EWA(预期加权吸引力))是否可以解释单个行为。我们发现,一旦分解数据,此类模型的解释力就很差。小组没有按预期学习,一组之间的行为明显不同,并且组成组的个人的行为在组内也有所不同。不能通过采用统一的个人行为模型来解释总捐款的下降。但是,这种博弈的纳什均衡是所有个人的总支出,在这方面,该群体有些收敛。但是个人贡献并没有收敛。即使如何以这种有限的方式,个体如何“自我组织”进行协调仍有待说明。

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