两个（和更多）利他主义者的故事
A Tale of Two (and More) Altruists
摘要：
我们引入了一个最低限度的动态模型的财富演化和财富共享之间的$N$代理作为一个平台，比较利他主义和个人主义的相对优点。在我们的模型中，每个代理人的财富通过扩散独立地演变。对于一个利他主义者群体来说，只要任何一个代理人的财富达到零（也就是说，代理人破产），其他$N-1$代理人的剩余财富就会被所有人平均分享。当人口的总财富低于一个特定的小阈值时，人口被集体定义为破产。对于个人主义者来说，每当一个代理人破产时，他就被认为是“死了”，没有财富再分配发生。我们决定了这两个社会中财富的演变。利他主义在早期导致更多的全球中位数财富;然而，最终，最长寿的个人主义者积累了大部分财富，比利他主义者更富有，更长寿。
英文摘要：
We introduce a minimalist dynamical model of wealth evolution and wealth sharing among $N$ agents as a platform to compare the relative merits of altruism and individualism. In our model, the wealth of each agent independently evolves by diffusion. For a population of altruists, whenever any agent reaches zero wealth (that is, the agent goes bankrupt), the remaining wealth of the other $N-1$ agents is equally shared among all. The population is collectively defined to be bankrupt when its total wealth falls below a specified small threshold value. For individualists, each time an agent goes bankrupt (s)he is considered to be "dead" and no wealth redistribution occurs. We determine the evolution of wealth in these two societies. Altruism leads to more global median wealth at early times; eventually, however, the longest-lived individualists accumulate most of the wealth and are richer and more long lived than the altruists.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
