Evolutionary games in the multiverse
Reads0
Chats0
TLDR
This work addresses one-shot games with multiple players and shows that statements derived for pairwise interactions no longer hold, which means that results from two-player games can be generalized to multiple players.Abstract:
Evolutionary game dynamics of two players with two strategies has been studied in great detail. These games have been used to model many biologically relevant scenarios, ranging from social dilemmas in mammals to microbial diversity. Some of these games may, in fact, take place between a number of individuals and not just between two. Here we address one-shot games with multiple players. As long as we have only two strategies, many results from two-player games can be generalized to multiple players. For games with multiple players and more than two strategies, we show that statements derived for pairwise interactions no longer hold. For two-player games with any number of strategies there can be at most one isolated internal equilibrium. For any number of players with any number of strategies , there can be at most isolated internal equilibria. Multiplayer games show a great dynamical complexity that cannot be captured based on pairwise interactions. Our results hold for any game and can easily be applied to specific cases, such as public goods games or multiplayer stag hunts.read more
Citations
More filters
Book ChapterDOI
Evolution and the Theory of Games
TL;DR: In the Hamadryas baboon, males are substantially larger than females, and a troop of baboons is subdivided into a number of ‘one-male groups’, consisting of one adult male and one or more females with their young.
Journal ArticleDOI
The evolution of eusociality
TL;DR: It is argued that standard natural selection theory in the context of precise models of population structure represents a simpler and superior approach, allows the evaluation of multiple competing hypotheses, and provides an exact framework for interpreting empirical observations.
Posted Content
Game Theory and Economic Modelling
TL;DR: In this article, the authors provide the reader with some basic concepts from non-cooperative game theory, and then explore the strengths, weaknesses, and future of the theory as a tool of economic modelling and analysis.
Journal ArticleDOI
Universality of weak selection
TL;DR: The fixation probability and the average fixation time are investigated not only up to linear but also up to higher orders in selection intensity, which finds universal higher order expansions, which allow a rescaling of the selection intensity.
Journal ArticleDOI
Evolution of cooperation in stochastic games
TL;DR: This framework shows which feedbacks between exploitation and environment—either naturally occurring or designed—help to overcome social dilemmas, and finds that the dependence of the public resource on previous interactions can greatly enhance the propensity for cooperation.
References
More filters
Journal ArticleDOI
The Tragedy of the Commons
TL;DR: The population problem has no technical solution; it requires a fundamental extension in morality.
Book
Governing the Commons: The Evolution of Institutions for Collective Action
TL;DR: In this paper, an institutional approach to the study of self-organization and self-governance in CPR situations is presented, along with a framework for analysis of selforganizing and selfgoverning CPRs.
Journal ArticleDOI
Governing the Commons: The Evolution of Institutions for Collective Action
Journal ArticleDOI
The Tragedy of the Commons
TL;DR: The tragedy of the commons as a food basket is averted by private property, or something formally like it as mentioned in this paper, which is why the commons, if justifiable at all, is justifiable only under conditions of low-population density.
Journal ArticleDOI
The Logic of Animal Conflict
J. Maynard Smith,George R. Price +1 more
TL;DR: Game theory and computer simulation analyses show, however, that a “limited war” strategy benefits individual animals as well as the species.