Symmetry and Collective Fluctuations in Evolutionary Games
Abstract
In this monograph we bring together a conceptual treatment of evolutionary dynamics and a path-ensemble approach to non-equilibrium stochastic processes. Our framework is evolutionary game theory, in which the map from individual types and their interactions to the fitness that determines their evolutionary success is modeled as a game played among agents in the population. Our approach, however, is not anchored either in analogy to play or in motivations to interpret particular interactions as games. Rather, we argue that games are a flexible and reasonably generic framework to capture, classify and analyze the processes in development and some forms of inter-agent interaction that lie behind arbitrary frequency-dependent fitness models.
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Some particular formulations of these dynamical models describe Darwinian dynamics in molecular reaction networks.
“Some particular formulations of these models describe Darwinian dynamics in molecular reaction networks [323] (see also [324]).”
From Fundamental constraints to the logic of living systems (2024) · cites this paper as [324]
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The Origin and Nature of Life on Earth: The Emergence of the Fourth Geosphere
Smith, E., & Morowitz, H. J. (2016) · doi:10.1017/cbo9781316348772 · Cited by 215 · see citing works
Self-citationFundamental constraints to the logic of living systems
Solé, R., Kempes, C. P., Corominas-Murtra, B., De Domenico, M., Kolchinsky, A., Lachmann, M., Libby, E., Saavedra, S., Smith, E., & Wolpert, D. (2024) · Interface Focus · doi:10.1098/rsfs.2024.0010 · Cited by 34 · see citing works
Self-citationSmith, E. (2020) · Entropy · doi:10.3390/e22101137 · Cited by 14 · see citing works
Self-citationFlows, scaling, and the control of moment hierarchies for stochastic chemical reaction networks
Smith, E., & Krishnamurthy, S. (2017) · Physical review. E · doi:10.1103/physreve.96.062102 · Cited by 14 · see citing works
Self-citationSolving moment hierarchies for chemical reaction networks
Krishnamurthy, S., & Smith, E. (2017) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/aa89d0 · Cited by 14 · see citing works
Self-citationGagrani, P., & Smith, E. (2023) · Physical review. E · doi:10.1103/physreve.107.034305 · Cited by 8 · see citing works
Self-citationNonequilibrium phase transitions in biomolecular signal transduction
Smith, E., Krishnamurthy, S., Fontana, W., & Krakauer, D. C. (2011) · Physical Review E · doi:10.1103/physreve.84.051917 · Cited by 8 · see citing works
Self-citationBeyond fitness: the nature of selection acting through the constructive steps of lifecycles
Smith, E. (2023) · Evolution · doi:10.1093/evolut/qpad068 · Cited by 6 · see citing works
Self-citationRuns, panics and bubbles: Diamond–Dybvig and Morris–Shin reconsidered
Smith, E., & Shubik, M. (2013) · Annals of Finance · doi:10.1007/s10436-013-0231-8 · Cited by 6 · see citing works
Self-citationThe information geometry of two-field functional integrals
Smith, E. (2022) · Information Geometry · doi:10.1007/s41884-022-00071-z · Cited by 4 · see citing works
Self-citationBeyond fitness: The information imparted in population states by selection throughout lifecycles
Smith, E. (2024) · Theoretical Population Biology · doi:10.1016/j.tpb.2024.04.003 · Cited by 4 · see citing works
Self-citationSmith, E., Smith, H. B., & Andersen, J. L. (2024) · PLOS complex systems. · doi:10.1371/journal.pcsy.0000022 · Cited by 4 · see citing works
Self-citationEvolution of complexity and the transition to biochemical life
Gagrani, P., & Baum, D. (2025) · Physical review. E · doi:10.1103/physreve.111.064403 · Cited by 3 · see citing works
The information geometry of 2-field functional integralsPreprint
Smith, E. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1906.09312 · Cited by 2 · see citing works
Self-citationRuss, J. (2015) · American Journal of Physics · doi:10.1119/1.4913414 · Cited by 1 · see citing works
Smith, E., & Krishnamurthy, S. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1806.02001 · Cited by 1 · see citing works
Self-citationInfrared Astronomy—Seeing the Heat: From William Herschel to the Herschel Space Observatory
Rieke, G. H. (2015) · American Journal of Physics · doi:10.1119/1.4918600
Beyond fitness: selection and information flow through the constructive steps in lifecyclesPreprint
Smith, E. (2021) · bioRxiv (Cold Spring Harbor Laboratory) · doi:10.1101/2021.02.09.430402
Self-citation
- Authors
- Smith, E., & Krishnamurthy, S.
- Affiliations
- Santa Fe Institute (US)
- Stockholm University (SE)
- Venue
- Institute of Physics eBooks
- Publisher
- IOP Publishing
- Published
- 2015-01-01
- OpenAlex
- W2503043660
- Cited by
- 18
- References
- 0
- Citations by year
- 2025: 1 · 2024: 3 · 2023: 2 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 1 · 2018: 1 · 2017: 2 · 2016: 1 · 2015: 2 · 2013: 1
- FWCI
- 1.90
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Institute of Physics eBooks (publishedVersion)
- Topics
- Social Sciences › Sociology and Political Science › Evolutionary Game Theory and Cooperation
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Keywords
- evolutionary game theory, evolutionary dynamics, collective fluctuations, symmetry, frequency-dependent fitness, population dynamics, agent interaction
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