2024-03-29T08:54:39Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/378802021-06-23T10:07:11Zcom_10324_1146com_10324_931com_10324_894col_10324_1262
00925njm 22002777a 4500
dc
García González, Ana
author
Cabo García, Francisco José
author
2019
This paper studies a two-population evolutionary game in a new setting in between a symmetric and an asymmetric evolutionary model. It distinguishes two types of agents: Sanchos, whose payoffs are defined by a prisoner’s dilemma game, and Quixotes, whose payoffs are defined by a snowdrift game. Considering an imitative revision protocol, a revising agent is paired with someone from his own population or the other population. When matched, they observe payoffs, but not identities. Thus, agents in one population interact and imitate agents from their own population and from the other population. In this setting we prove that a unique mixed-strategy asymptotically stable fixed point of the evolutionary dynamics exists. Taking as an example the compliance with social norms, and depending on the parameters, two type of equilibrium are possible, one with full compliance among Quixotes and partial compliance among Sanchos, or another with partial compliance among Quixotes and defection among Sanchos. In the former type, Sanchos comply above their Nash equilibrium (as they imitate compliant Quixotes). In the latter type, Quixotes comply below their Nash equilibrium (as they imitate defecting Sanchos).
Journal of Evolutionary Economics, Julio 2019, Vol 29, Issue 3, p. 1037–1057
1432-1386
http://uvadoc.uva.es/handle/10324/37880
https://doi.org/10.1007/s00191-019-00620-3
1037
3
1057
29
Interaction and imitation in a world of Quixotes and Sanchos