论文标题

在复杂性成本下其他偏好偏好的进化稳定性

Evolutionary Stability of Other-Regarding Preferences Under Complexity Costs

论文作者

DiGiovanni, Anthony, Macé, Nicolas, Clifton, Jesse

论文摘要

偏好的演变是用其他代理人的健身或其他偏好的偏好的发展,它是用进化游戏理论的“间接方法”建模的。在间接进化方法下,代理通过优化主观效用函数做出决策。进化可以选择与适应性函数不同的主观偏好,尤其是提高或降低其他药物适应性的主观偏好。但是,间接进化模型通常会人为地限制代理商可能使用的策略的空间(假设代理在其主观偏好下始终发挥NASH平衡),并且放弃此限制会破坏选择其他偏好的发现。是否可以使用间接进化方法来解释人类中其他偏好(例如利他主义)的明显存在?我们认为,可以通过考虑与策略复杂性相关的成本,从而(据我们所知)对战略复杂性与偏好演变之间关系的第一个说明。我们的模型正式将代理人在战略的认知成本以及它们跨环境中插值的方式之间面临权衡的直觉正式。对于单个游戏,这些复杂性成本会导致选择一种简单的固定策略,但是在整个游戏中,当策略的特定于上下文特定参数的成本足够大时,一种最大化主观(其他雷神)实用程序的策略再次稳定。总体而言,我们的分析提供了更加细微的描述,即其他偏好将何时发展。

The evolution of preferences that account for other agents' fitness, or other-regarding preferences, has been modeled with the "indirect approach" to evolutionary game theory. Under the indirect evolutionary approach, agents make decisions by optimizing a subjective utility function. Evolution may select for subjective preferences that differ from the fitness function, and in particular, subjective preferences for increasing or reducing other agents' fitness. However, indirect evolutionary models typically artificially restrict the space of strategies that agents might use (assuming that agents always play a Nash equilibrium under their subjective preferences), and dropping this restriction can undermine the finding that other-regarding preferences are selected for. Can the indirect evolutionary approach still be used to explain the apparent existence of other-regarding preferences, like altruism, in humans? We argue that it can, by accounting for the costs associated with the complexity of strategies, giving (to our knowledge) the first account of the relationship between strategy complexity and the evolution of preferences. Our model formalizes the intuition that agents face tradeoffs between the cognitive costs of strategies and how well they interpolate across contexts. For a single game, these complexity costs lead to selection for a simple fixed-action strategy, but across games, when there is a sufficiently large cost to a strategy's number of context-specific parameters, a strategy of maximizing subjective (other-regarding) utility is stable again. Overall, our analysis provides a more nuanced picture of when other-regarding preferences will evolve.

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