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150325s2010 xx |||||o 00| ||eng c |
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|a (DE-627)JST069285411
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|a (JST)40506141
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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|a Imhof, Lorens A.
|e verfasserin
|4 aut
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|a Stochastic Evolutionary Dynamics of Direct Reciprocity
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|c 2010
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
|b c
|2 rdamedia
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|a Online-Ressource
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|a Evolutionary game theory is the study of frequency-dependent selection. The success of an individual depends on the frequencies of strategies that are used in the population. We propose a new model for studying evolutionary dynamics in games with a continuous strategy space. The population size is finite. All members of the population use the same strategy. A mutant strategy is chosen from some distribution over the strategy space. The fixation probability of the mutant strategy in the resident population is calculated. The new mutant takes over the population with this probability. In this case, the mutant becomes the new resident. Otherwise, the existing resident remains. Then, another mutant is generated. These dynamics lead to a stationary distribution over the entire strategy space. Our new approach generalizes classical adaptive dynamics in three ways: (i) the population size is finite; (ii) mutants can be drawn non-locally and (iii) the dynamics are stochastic. We explore reactive strategies in the repeated Prisoner's Dilemma. We perform ' knock-out experiments' to study how various strategies affect the evolution of cooperation. We find that 'tit-for-tat' is a weak catalyst for the emergence of cooperation, while 'always cooperate' is a strong catalyst for the emergence of defection. Our analysis leads to a new understanding of the optimal level of forgiveness that is needed for the evolution of cooperation under direct reciprocity.
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|a Copyright 2010 The Royal Society
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|a cooperation
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|a finite population
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| 650 |
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|a game theory
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| 650 |
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4 |
|a mathematical biology
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| 650 |
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4 |
|a Prisoner's Dilemma
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| 650 |
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4 |
|a Social sciences
|x Population studies
|x Population characteristics
|x Population size
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| 650 |
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4 |
|a Behavioral sciences
|x Sociology
|x Human societies
|x Social dynamics
|x Social change
|x Social evolution
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| 650 |
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|a Mathematics
|x Applied mathematics
|x Game theory
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| 650 |
|
4 |
|a Social sciences
|x Population studies
|x Population dynamics
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| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Game theory
|x Game theory games
|x Economic games
|x Evolutionary games
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| 650 |
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4 |
|a Mathematics
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| 650 |
|
4 |
|a Social sciences
|x Communications
|x Negotiation
|x Negotiation strategies
|x Prisoners dilemma
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| 650 |
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4 |
|a Biological sciences
|x Biology
|x Evolutionary studies
|x Evolutionary biology
|x Evolutionary theories
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| 650 |
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|a Religion
|x Spiritual belief systems
|x Christianity
|x Christian philosophy
|x Christian justification
|x Forgiveness
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| 650 |
|
4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Stochastic models
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| 650 |
|
4 |
|a Social sciences
|x Population studies
|x Population characteristics
|x Population size
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| 650 |
|
4 |
|a Behavioral sciences
|x Sociology
|x Human societies
|x Social dynamics
|x Social change
|x Social evolution
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| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Game theory
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| 650 |
|
4 |
|a Social sciences
|x Population studies
|x Population dynamics
|
| 650 |
|
4 |
|a Mathematics
|x Applied mathematics
|x Game theory
|x Game theory games
|x Economic games
|x Evolutionary games
|
| 650 |
|
4 |
|a Mathematics
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| 650 |
|
4 |
|a Social sciences
|x Communications
|x Negotiation
|x Negotiation strategies
|x Prisoners dilemma
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| 650 |
|
4 |
|a Biological sciences
|x Biology
|x Evolutionary studies
|x Evolutionary biology
|x Evolutionary theories
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| 650 |
|
4 |
|a Religion
|x Spiritual belief systems
|x Christianity
|x Christian philosophy
|x Christian justification
|x Forgiveness
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Probability theory
|x Stochastic models
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| 655 |
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|a research-article
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1 |
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|a Nowak, Martin A.
|e verfasserin
|4 aut
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|i Enthalten in
|t Proceedings: Biological Sciences
|d The Royal Society
|g 277(2010), 1680, Seite 463-468
|w (DE-627)JST069249288
|x 09628452
|7 nnns
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|g volume:277
|g year:2010
|g number:1680
|g pages:463-468
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|u https://www.jstor.org/stable/40506141
|3 Volltext
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|e 1680
|h 463-468
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