Tag-mediated cooperation with non-deterministic genotype-phenotype mapping

¹ School of Economics & International Trade, Zhejiang University of Finance & Economics Hangzhou 310018, PRC
² Center for Economic Behavior & Decision-making (CEBD), Zhejiang University of Finance & Economics Hangzhou 310018, PRC
³ Interdisciplinary Center for Social Sciences (ICSS), Zhejiang University - Hangzhou 310027, PRC
⁴ College of Economics, Zhejiang University - Hangzhou 310027, PRC

^(a) zjuchenshu@gmail.com

Received: 15 January 2016
Accepted: 2 February 2016

Abstract

Tag-mediated cooperation provides a helpful framework for resolving evolutionary social dilemmas. However, most of the previous studies have not taken into account genotype-phenotype distinction in tags, which may play an important role in the process of evolution. To take this into consideration, we introduce non-deterministic genotype-phenotype mapping into a tag-based model with spatial prisoner's dilemma. By our definition, the similarity between genotypic tags does not directly imply the similarity between phenotypic tags. We find that the non-deterministic mapping from genotypic tag to phenotypic tag has non-trivial effects on tag-mediated cooperation. Although we observe that high levels of cooperation can be established under a wide variety of conditions especially when the decisiveness is moderate, the uncertainty in the determination of phenotypic tags may have a detrimental effect on the tag mechanism by disturbing the homophilic interaction structure which can explain the promotion of cooperation in tag systems. Furthermore, the non-deterministic mapping may undermine the robustness of the tag mechanism with respect to various factors such as the structure of the tag space and the tag flexibility. This observation warns us about the danger of applying the classical tag-based models to the analysis of empirical phenomena if genotype-phenotype distinction is significant in real world. Non-deterministic genotype-phenotype mapping thus provides a new perspective to the understanding of tag-mediated cooperation.