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FourCmodelling SIGNED

Conflict, Competition, Cooperation and Complexity: Using Evolutionary Game Theory to model realistic populations

Total Cost €


EC-Contrib. €






 FourCmodelling project word cloud

Explore the words cloud of the FourCmodelling project. It provides you a very rough idea of what is the project "FourCmodelling" about.

structural    themes    incorporate    applicability    comprising    idealised    forms    frequent    theory    colonies    complementary    evolutionary    companies    relationships    feed    interacting    communities    interactions    thought    subprojects    parallel    theoretical    family    cooperation    patch    population    primate    sequential    meetings    games    regular    animals    subproject    time    necessarily    majority    involve    insect    animal    organisms    complexity    american    structureless    single    groups    temporal    first    spatio    north    normal    pairwise    tumour    multiplayer    mixed    scenarios    game    competition    host    evolve    foraging    life    models    units    societies    computational    space    dynamics    populations    cells    human    ecosystem    nations    depending    final    structured    consistent    cancer    either    model    decisions    conflict    adaptive    individuals    potentially    team    constraints    ecosystems    immune    varied    structure    character    social    pandemics    fostered    themselves    visits    inherent   

Project "FourCmodelling" data sheet

The following table provides information about the project.


Organization address
city: LONDON
postcode: EC1V 0HB

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country United Kingdom [UK]
 Project website
 Total cost 243˙000 €
 EC max contribution 216˙000 € (89%)
 Programme 1. H2020-EU.1.3.3. (Stimulating innovation by means of cross-fertilisation of knowledge)
 Code Call H2020-MSCA-RISE-2015
 Funding Scheme MSCA-RISE
 Starting year 2016
 Duration (year-month-day) from 2016-01-01   to  2019-12-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    CITY UNIVERSITY OF LONDON UK (LONDON) coordinator 45˙000.00
4    Biologicke centrum AV CR, v. v. i. CZ (CESKE BUDEJOVICE) participant 18˙000.00
6    SZEGEDI TUDOMANYEGYETEM HU (SZEGED) participant 9˙000.00
10    The University of North Carolina at Greensboro US (Greensboro) partner 0.00


 Project objective

'Real animals and human populations are complex, involving structural relationships depending upon space and time and varied interactions between potentially many individuals. Human societies feature family units, communities, companies and nations. Some animal also have complex societies, such as primate groups and social insect colonies. Single organisms themselves can be thought of as complex ecosystems, host to many interacting life forms.

Models of populations are necessarily idealised, and most involve either simple pairwise interactions or 'well-mixed' structureless populations, or both. In this project we shall develop game-theoretical models, both general and focused on specific real population scenarios, which incorporate population structure and within population interactions which are both complex in character. We will focus on the themes of Conflict, Competition, Cooperation and Complexity inherent in the majority of real populations.

There will be four complementary subprojects within the overall project. The first will focus on developing a general theory of modelling multiplayer evolutionary games in structured populations, and will feed into each of the other three subprojects. The second will consider complex foraging games, in particular games under time constraints and involving sequential decisions relating to patch choice. The third will involve developing computational models of spatio-temporal dynamics for the modelling of pandemics. The final subproject will model cancer as a complex adaptive system, where a population of tumour, normal and immune cells evolve within a human ecosystem.

The four subprojects will be developed in parallel fostered by frequent research visits and interactions, each involving a team comprising of EU and North American researchers, and will feed into each other through regular interactions and meetings. The aim is to develop a rich, varied but consistent theory with wide applicability.'


List of deliverables.
Completion of the research programme for Work Package 4 Documents, reports 2020-02-27 15:41:39
3rd annual workshop and annual report Documents, reports 2020-02-27 15:04:13
Completion of the research programme for Work Package 2 Documents, reports 2020-02-27 15:41:41
Integrated structures Documents, reports 2020-02-27 15:41:42
Integrated interactions Documents, reports 2020-02-27 15:04:12
4th annual workshop and annual report Documents, reports 2020-02-27 15:41:41
Completion of the research programme for Work Package 1 Documents, reports 2020-02-27 15:04:12
Completion of the research programme for Work Package 3 Documents, reports 2020-02-27 15:04:12
1st annual workshop and annual report Documents, reports 2019-11-12 17:23:21
2nd annual workshop and annual report Documents, reports 2019-11-12 17:23:22

Take a look to the deliverables list in detail:  detailed list of FourCmodelling deliverables.


year authors and title journal last update
List of publications.
2019 Ross Cressman, Miklós Koller, M. Barnabás Garay, József Garay
Evolutionary Substitution and Replacement in N-Species Lotka–Volterra Systems
published pages: , ISSN: 2153-0785, DOI: 10.1007/s13235-019-00324-0
Dynamic Games and Applications 2020-03-05
2019 Kateřina Staňková
Resistance games
published pages: 336-337, ISSN: 2397-334X, DOI: 10.1038/s41559-018-0785-y
Nature Ecology & Evolution 3/3 2020-03-05
2018 Xinsheng Li, Kasim Selcuk Candan, Maria Luisa Sapino
M2TD: Multi-Task Tensor Decomposition for Sparse Ensemble Simulations
published pages: 1144-1155, ISSN: , DOI:
34th {IEEE} International Conference on Data Engineering, {ICDE} 2018 2020-02-28
2018 Xilun Chen, K. Selcuk Candan, Maria Luisa Sapino
IMS-DTM: Incremental Multi-Scale Dynamic Topic Models
published pages: 5078--5085, ISSN: , DOI:
Proceedings of the Thirty-Second {AAAI} Conference on Artificial Intelligence 2020-02-28
2018 Sarah R. Amend, Robert A. Gatenby, Kenneth J. Pienta, Joel S. Brown
Cancer Foraging Ecology: Diet Choice, Patch Use, and Habitat Selection of Cancer Cells
published pages: 209-218, ISSN: 2167-485X, DOI: 10.1007/s40139-018-0185-7
Current Pathobiology Reports 6/4 2020-02-27
2019 Jeffrey B. West, Mina N. Dinh, Joel S. Brown, Jingsong Zhang, Alexander R. Anderson, Robert A. Gatenby
Multidrug Cancer Therapy in Metastatic Castrate-Resistant Prostate Cancer: An Evolution-Based Strategy
published pages: 4413-4421, ISSN: 1078-0432, DOI: 10.1158/1078-0432.ccr-19-0006
Clinical Cancer Research 25/14 2020-02-27
2020 Robert A. Gatenby, Yael Artzy-Randrup, Tamir Epstein, Damon R. Reed, Joel S. Brown
Eradicating Metastatic Cancer and the Eco-Evolutionary Dynamics of Anthropocene Extinctions
published pages: 613-623, ISSN: 0008-5472, DOI: 10.1158/0008-5472.can-19-1941
Cancer Research 80/3 2020-02-27
2019 Giacomo Cavallo, Francesco Di Mauro, Paolo Pasteris, Maria Luisa Sapino, K. Selcuk Candan
Crowd Sourced Semantic Enrichment (CroSSE) for knowledge driven querying of digital resources
published pages: 453-480, ISSN: 0925-9902, DOI: 10.1007/s10844-019-00559-8
Journal of Intelligent Information Systems 53/3 2020-02-20
2019 Vlastimil Křivan, Tomás A. Revilla
Plant coexistence mediated by adaptive foraging preferences of exploiters or mutualists
published pages: 112-128, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2019.08.003
Journal of Theoretical Biology 480 2020-02-19
2019 Igor V. Erovenko, Johann Bauer, Mark Broom, Karan Pattni, Jan Rychtář
The effect of network topology on optimal exploration strategies and the evolution of cooperation in a mobile population
published pages: 20190399, ISSN: 1364-5021, DOI: 10.1098/rspa.2019.0399
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475/2230 2020-02-13
2020 Mark Broom, Igor V. Erovenko, Jonathan T. Rowell, Jan Rychtář
Models and measures of animal aggregation and dispersal
published pages: 110002, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2019.110002
Journal of Theoretical Biology 484 2020-02-13
2019 Johann Bauer, Mark Broom, Eduardo Alonso
The stabilization of equilibria in evolutionary game dynamics through mutation: mutation limits in evolutionary games
published pages: 20190355, ISSN: 1364-5021, DOI: 10.1098/rspa.2019.0355
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475/2231 2020-02-13
2019 Tamás Varga, Tamás F. Móri, József Garay
The ESS for evolutionary matrix games under time constraints and its relationship with the asymptotically stable rest point of the replicator dynamics
published pages: , ISSN: 1432-1416, DOI: 10.1007/s00285-019-01440-6
Journal of Mathematical Biology 2020-02-04
2019 Li You, Maximilian Knobloch, Teresa Lopez, Vanessa Peschen, Sidney Radcliffe, Praveen Koshy Sam, Frank Thuijsman, Kateřina Staňková, Joel Brown
Including Blood Vasculature into a Game-Theoretic Model of Cancer Dynamics
published pages: 13, ISSN: 2073-4336, DOI: 10.3390/g10010013
Games 10/1 2019-11-12
2019 G. Chowell, K. Mizumoto, J. M. Banda, S. Poccia, C. Perrings
Assessing the potential impact of vector-borne disease transmission following heavy rainfall events: a mathematical framework
published pages: 20180272, ISSN: 0962-8436, DOI: 10.1098/rstb.2018.0272
Philosophical Transactions of the Royal Society B: Biological Sciences 374/1775 2019-11-12
2019 Mark Broom, Ross Cressman, Vlastimil Křivan
Revisiting the “fallacy of averages” in ecology: Expected gain per unit time equals expected gain divided by expected time
published pages: 109993, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2019.109993
Journal of Theoretical Biology 483 2019-11-12
2018 Sicong Liu, Silvestro Roberto Poccia, K. Selçuk Candan, Maria Luisa Sapino, Xiaolan Wang
Robust Multi-Variate Temporal Features of Multi-Variate Time Series
published pages: 1-24, ISSN: 1551-6857, DOI: 10.1145/3152123
ACM Transactions on Multimedia Computing, Communications, and Applications 14/1 2019-11-12
2018 Péter Bayer, Joel S. Brown, Kateřina Staňková
A two-phenotype model of immune evasion by cancer cells
published pages: 191-204, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2018.07.014
Journal of Theoretical Biology 455 2019-11-12
2018 Vlastimil Křivan, Theodore E. Galanthay, Ross Cressman
Beyond replicator dynamics: From frequency to density dependent models of evolutionary games
published pages: 232-248, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2018.07.003
Journal of Theoretical Biology 455 2019-11-12
2017 József Garay, Villő Csiszár, Tamás F. Móri
Survival phenotype, selfish individual versus Darwinian phenotype
published pages: 86-91, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2017.06.031
Journal of Theoretical Biology 430 2019-11-12
2017 Jozsef Garay, Villo Csiszar, Tamas Mori
Evolutionary stability for matrix games under time constraints
published pages: , ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2016.11.029
Journal of Theoretical Biology Volume 415, 21 February 2017, P 2019-11-12
2018 Tomás A. Revilla, Vlastimil Křivan
Competition, trait–mediated facilitation, and the structure of plant–pollinator communities
published pages: 42-57, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2017.12.019
Journal of Theoretical Biology 440 2019-11-12
2017 Chris Cannings, Mark Broom
Game theoretical modelling of a dynamicallyevolving network I: General target sequences
published pages: 285-318, ISSN: 2164-6066, DOI: 10.3934/jdg.2017016
Journal of Dynamics and Games 4/4 2019-11-12
2017 Christoforos Hadjichrysanthou, Mark Broom, Jan Rychtář
Models of kleptoparasitism on networks: the effect of population structure on food stealing behaviour
published pages: , ISSN: 0303-6812, DOI: 10.1007/s00285-017-1177-7
Journal of Mathematical Biology 2019-11-12
2017 Joel S Brown, Kateřina Staňková
Game theory as a conceptual framework for managing insect pests
published pages: 26-32, ISSN: 2214-5745, DOI: 10.1016/j.cois.2017.05.007
Current Opinion in Insect Science 21 2019-11-12
2016 Joel S. Brown
Why Darwin would have loved evolutionary game theory
published pages: 20160847, ISSN: 0962-8452, DOI: 10.1098/rspb.2016.0847
Proceedings of the Royal Society B: Biological Sciences 283/1838 2019-11-12
2016 Mark Broom, Jan Rychtář
Ideal Cost-Free Distributions in Structured Populations for General Payoff Functions
published pages: , ISSN: 2153-0785, DOI: 10.1007/s13235-016-0204-4
Dynamic Games and Applications 27 Sep 2016 2019-11-12
2016 Tomás A. Revilla, Vlastimil Křivan
Pollinator Foraging Adaptation and Coexistence of Competing Plants
published pages: e0160076, ISSN: 1932-6203, DOI: 10.1371/journal.pone.0160076
PLOS ONE 11/8 2019-11-12
2017 Joel S. Brown, Jessica J. Cunningham, Robert A. Gatenby
Aggregation Effects and Population-Based Dynamics as a Source of Therapy Resistance in Cancer
published pages: 512-518, ISSN: 0018-9294, DOI: 10.1109/TBME.2016.2623564
IEEE Transactions on Biomedical Engineering 64/3 2019-11-12
2018 József Garay, Ross Cressman, Tamás F. Móri, Tamás Varga
The ESS and replicator equation in matrix games under time constraints
published pages: , ISSN: 0303-6812, DOI: 10.1007/s00285-018-1207-0
Journal of Mathematical Biology 2019-11-12
2017 Robert Spencer, Mark Broom
A game-theoretical model of kleptoparasitic behavior in an urban gull (Laridae) population
published pages: 60-78, ISSN: 1045-2249, DOI: 10.1093/beheco/arx125
Behavioral Ecology 29/1 2019-11-12
2017 Ross Cressman, Abdel Halloway, Gordon G. McNickle, Joe Apaloo, Joel S. Brown, Thomas L. Vincent
Unlimited niche packing in a Lotka–Volterra competition game
published pages: 1-17, ISSN: 0040-5809, DOI: 10.1016/j.tpb.2017.04.003
Theoretical Population Biology 116 2019-11-12
2017 Li You, Joel S. Brown, Frank Thuijsman, Jessica J. Cunningham, Robert A. Gatenby, Jingsong Zhang, Kateřina Staňková
Spatial vs. non-spatial eco-evolutionary dynamics in a tumor growth model
published pages: 78-97, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2017.08.022
Journal of Theoretical Biology 435 2019-11-12
2017 Jingsong Zhang, Jessica J. Cunningham, Joel S. Brown, Robert A. Gatenby
Integrating evolutionary dynamics into treatment of metastatic castrate-resistant prostate cancer
published pages: , ISSN: 2041-1723, DOI: 10.1038/s41467-017-01968-5
Nature Communications 8/1 2019-11-12
2017 Křivan, Vlastimil
Když se matematika potká s biologií: matematická ekologie. (Czech) [When mathematics meets biology: Mathematical ecology]
published pages: 185-201, ISSN: 0032-2423, DOI:
Pokroky matematiky, fyziky a astronomie 62/3 2019-11-12
2017 Vlastimil Křivan, Ross Cressman
Interaction times change evolutionary outcomes: Two-player matrix games
published pages: 199-207, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2017.01.010
Journal of Theoretical Biology 416 2019-11-12
2016 Aming Li, Mark Broom, Jinming Du, Long Wang
Evolutionary dynamics of general group interactions in structured populations
published pages: , ISSN: 2470-0045, DOI: 10.1103/PhysRevE.93.022407
Physical Review E 93/2 2019-11-12
2016 Mark Broom, Jan Rychtář
Evolutionary Games with Sequential Decisions and Dollar Auctions
published pages: , ISSN: 2153-0785, DOI: 10.1007/s13235-016-0212-4
Dynamic Games and Applications 26 Dec 2016 2019-11-12

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