Professor Mark Broom
Contact
- Professor Mark Broom
- +44 (0)20 7040 3672
- mark.broom.1@city.ac.uk
Postal Address
Northampton Square
London
EC1V 0HB
UK
About
Background
Professor Mark Broom obtained a BA (Hons) in Mathematics from the University of Oxford in 1989, followed by an MSc in Statistics (1990) and a PhD in Mathematics (1993) at the University of Sheffield. He then held a postdoctoral research position again at Sheffield (1993-5) and a temporary lecturing position at the University of Glasgow (1995-6). He joined the University of Sussex as a Lecturer in 1996, where he worked until the end of 2009, most recently as Reader in Mathematics, and he was the Head of the Department of Mathematics from 2007 to 2009. Mark was appointed as Professor of Mathematics at City University in January 2010.
In 2013, together with Jan Rychtář, he completed the book Game-Theoretical Models in Biology published by Chapman and Hall.
Qualifications
PhD Mathematics, The University of Sheffield, 1994
MSc Statistics, The University of Sheffield, 1991
BA (Hons) Mathematics, Oxford University, 1989
Employment
01/2010 - to date City University London, Professor of Mathematics
10/2006 - 12/2009 University of Sussex, Reader in Mathematics
10/2003 - 09/2006 University of Sussex, Senior Lecturer in Mathematics
09/1996 - 09/2003 University of Sussex, Lecturer in Mathematics
09/1995 - 08/1996 University of Glasgow, Lecturer in Statistics
10/1993 - 08/1995 The University of Sheffield, Postdoctoral Research Assistant
Other appointments
01/2010 - to date University of Sussex,Visiting Professor of Mathematics
07/2007 - 08/2009 University of Sussex, Head of the Department of Mathematics
Membership of professional bodies
07/2012 International Society of Dynamic Games, Member
01/2004 Higher Education Academy, Fellow
01/2002 European Society for Mathematical and Theoretical Biology, Member
01/2000 International Society for Behavioral Ecology, Member
01/1999 London Mathematical,Society, Member
04/1997 Royal Statistical Society, Member
Research
Research Students
- Name
- Mahdi Raza
- Thesis title
- Mathematical models of survival analysis
- Further Information
- Date of start 01 Apr 2013.
- Name
- Klodeta Kura
- Thesis title
- The mathematical modelling of dominance hierarchies
- Further Information
- Date of start 01 Oct 2012.
- Name
- Karan Pattni
- Thesis title
- Modelling structured populations involving multiplayer games
- Further Information
- Date of start 01 Oct 2013.
- Name
- Jan Teichmann
- Thesis title
- Modelling the co-evolution of defence and signalling in biological populations with aversive learning
- Further Information
- Date of start 01 Oct 2011.
- Name
- Christoforos Hadjichrysanthou
- Thesis title
- Evolutionary models in structured populations
- Further Information
- Completed 2012.
- Name
- Martin Harrison
- Thesis title
- Using game theory to model interspecific brood parasitism in bird populations
- Further Information
- Completed 2010.
- Name
- Carole Becker
- Thesis title
- Analysis of dynamic models of evolving popuations
- Further Information
- Completed 2007.
- Name
- Gillian Yates
- Thesis title
- Stochastic models of small populations
- Further Information
- Completed 2006.
- Name
- Chris Fraser
- Thesis title
- Information transfer between foraging animals: the consequences of attentional limitations
- Further Information
- Completed 2005.
- Name
- Roger Luther
- Thesis title
- Mathematical models of kleptoparasitism
- Further Information
- Completed 2004.
- Name
- Caorle Proctor
- Thesis title
- Modelling structured populations involving multiplayer games
- Further Information
- Completed 2000.
Publications
Journal Article (94)
- Kura, K., Broom, M. and Kandler, A. (Mar 2015). Modelling Dominance Hierarchies Under Winner and Loser Effects.. Bulletin of mathematical biology.
- Broom, M. and Cannings, C. (06 May 2015). Graphic deviation. Discrete Mathematics, 338(5), 701-711. doi: 10.1016/j.disc.2014.12.011
- Broom, M., Lafaye, C., Pattni, K. and Rychtář, J. (Mar 2015). A study of the dynamics of multi-player games on small networks using territorial interactions.. Journal of mathematical biology.
- Teichmann, J., Broom, M. and Alonso, E. (01 Jan 2014). The Evolutionary Dynamics of Aposematism: a Numerical Analysis of Co-Evolution in Finite Populations. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 9(3), 148-164. doi: 10.1051/mmnp/20149310
- Broom, M., Rychtar, J. and Sykes, D. (01 Jan 2014). Kleptoparasitic Interactions under Asymmetric Resource Valuation. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 9(3), 138-147. doi: 10.1051/mmnp/20149309
- Teichmann, J., Broom, M. and Alonso, E. (07 Jan 2014). The application of temporal difference learning in optimal diet models.. J Theor Biol, 340, 11-16. doi: 10.1016/j.jtbi.2013.08.036
- Broom, M. and Rychtář, J. (22 Nov 2014). Asymmetric Games in Monomorphic and Polymorphic Populations. Dynamic Games and Applications, 4(4), 391-406. doi: 10.1007/s13235-014-0112-4
- Broom, M., Johanis, M. and Rychtář, J. (Dec 2014). The effect of fight cost structure on fighting behaviour.. Journal of mathematical biology. doi: 10.1007/s00285-014-0848-x
- Argasinski, K. and Broom, M. (Oct 2013). Ecological theatre and the evolutionary game: how environmental and demographic factors determine payoffs in evolutionary games.. J Math Biol, 67(4), 935-962. doi: 10.1007/s00285-012-0573-2
- Broom, M. and Ruxton, G.D. (21 Apr 2013). On the evolutionary stability of zero-cost pooled-equilibrium signals.. J Theor Biol, 323, 69-75. doi: 10.1016/j.jtbi.2013.01.017
- Argasinski, K. and Broom, M. (Dec 2013). The nest site lottery: how selectively neutral density dependent growth suppression induces frequency dependent selection.. Theor Popul Biol, 90, 82-90. doi: 10.1016/j.tpb.2013.09.011
- Broom, M. and Cannings, C. (21 Oct 2013). A dynamic network population model with strategic link formation governed by individual preferences.. J Theor Biol, 335, 160-168. doi: 10.1016/j.jtbi.2013.06.024
- Broom, M., Ruxton, G.D. and Schaefer, H.M. (22 Nov 2013). Signal verification can promote reliable signalling.. Proc Biol Sci, 280(1771), 20131560. doi: 10.1098/rspb.2013.1560
- Broom, M., Ruxton, G.D. and Schaefer, H.M. (22 Nov 2013). Signal verification can promote reliable signalling.. Proceedings. Biological sciences / The Royal Society, 280(1771), 20131560-20131560.
- Broom, M., Rychtář, J. and Sykes, D.G. (2013). The Effect of Information on Payoff in Kleptoparasitic Interactions. Springer Proceedings in Mathematics and Statistics, 64, 125-134. doi: 10.1007/978-1-4614-9332-7_13
- Broom, M., Hughes, R.N., Burrows, M.T. and Ruxton, G.D. (21 Sep 2012). Evolutionarily stable sexual allocation by both stressed and unstressed potentially simultaneous hermaphrodites within the same population.. J Theor Biol, 309, 96-102. doi: 10.1016/j.jtbi.2012.06.004
- Broom, M. and Rychtář, J. (07 Jun 2012). A general framework for analysing multiplayer games in networks using territorial interactions as a case study. Journal of Theoretical Biology, 302, 70-80. doi: 10.1016/j.jtbi.2012.02.025
- Hadjichrysanthou, C., Broom, M. and Kiss, I.Z. (07 Nov 2012). Approximating evolutionary dynamics on networks using a Neighbourhood Configuration model.. J Theor Biol, 312, 13-21. doi: 10.1016/j.jtbi.2012.07.015
- Barker, H.A., Broom, M. and Rychtář, J. (07 May 2012). A game theoretic model of kleptoparasitism with strategic arrivals and departures of beetles at dung pats. Journal of Theoretical Biology, 300, 292-298. doi: 10.1016/j.jtbi.2012.01.038
- Broom, M. and Voelkl, B. (May 2012). Two measures of effective population size for graphs.. Evolution, 66(5), 1613-1623. doi: 10.1111/j.1558-5646.2011.01528.x
- Broom, M. and Ruxton, G.D. (21 Dec 2012). Perceptual advertisement by the prey of stalking or ambushing predators.. J Theor Biol, 315, 9-16. doi: 10.1016/j.jtbi.2012.08.026
- Hadjichrysanthou, C. and Broom, M. (Sep 2012). When should animals share food? Game theory applied to kleptoparasitic populations with food sharing. Behavioral Ecology, 23(5), 977-991. doi: 10.1093/beheco/ars061
- Broom, M. and Rychtář, J. (2011). Kleptoparasitic Melees-Modelling Food Stealing Featuring Contests with Multiple Individuals. Bulletin of Mathematical Biology, 73(3), 683-699. doi: 10.1007/s11538-010-9546-z
- Broom, M. and Ruxton, G.D. (Oct 2011). Some mistakes go unpunished: the evolution of "all or nothing" signalling.. Evolution, 65(10), 2743-2749. doi: 10.1111/j.1558-5646.2011.01377.x
- Hadjichrysanthou, C., Broom, M. and Rychtář, J. (Sep 2011). Evolutionary Games on Star Graphs Under Various Updating Rules. Dynamic Games and Applications, 1(3), 386-407.
- Broom, M., Rychtá, J. and Stadler, B.T. (01 Sep 2011). Evolutionary dynamics on graphs-the effect of graph structure and initial placement on mutant spread. Journal of Statistical Theory and Practice, 5(3), 369-381. doi: 10.1080/15598608.2011.10412035
- Broom, M., Hadjichrysanthou, C. and Rychtář, J. (08 May 2010). Evolutionary games on graphs and the speed of the evolutionary process. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2117), 1327-1346. doi: 10.1098/rspa.2009.0487
- Broom, M., Hadjichrysanthou, C., Rychtář, J. and Stadler, B.T. (2010). Two results on evolutionary processes on general non-directed graphs (Proceedings of the Royal Society). Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2121), 2795-2798.
- Kiss, I.Z., Broom, M., Craze, P.G. and Rafols, I. (2010). Can epidemic models describe the diffusion of topics across disciplines?. Journal of Informetrics, 4(1), 74-82.
- Broom, M., Crowe, M.L., Fitzgerald, M.R. and Rychtár, J. (21 May 2010). The stochastic modelling of kleptoparasitism using a Markov process.. J Theor Biol, 264(2), 266-272. doi: 10.1016/j.jtbi.2010.01.012
- Broom, M., Higginson, A.D. and Ruxton, G.D. (21 Apr 2010). Optimal investment across different aspects of anti-predator defences.. J Theor Biol, 263(4), 579-586. doi: 10.1016/j.jtbi.2010.01.002
- Broom, M., Rychtar,J., and Stadler,B., (2009). Evolutionary Dynamics on Small-Order Graphs. Journal of Interdisciplinary Mathematics, 12, 129-140.
- Ruxton, G.D., Speed, M.P. and Broom, M. (2009). Identifying the ecological conditions that select for intermediate levels of aposematic signalling. Evolutionary Ecology, 23(4), 491-501. doi: 10.1007/s10682-008-9247-3
- Broom, M., Koenig, A. and Borries, C. (2009). Variation in dominance hierarchies among group-living animals: Modeling stability and the likelihood of coalitions. Behavioral Ecology, 20(4), 844-855. doi: 10.1093/beheco/arp069
- Broom, M. (2009). Balancing risks and rewards: the logic of violence.. Front Behav Neurosci, 3, 51. doi: 10.3389/neuro.08.051.2009
- Broom, M. and Rychtár, J. (Nov 2009). A game theoretical model of kleptoparasitism with incomplete information.. J Math Biol, 59(5), 631-649. doi: 10.1007/s00285-008-0247-2
- Broom, M., Luther,R.M., and Rychtar,J., (2009). A Hawk-Dove game in kleptoparasitic populations. Journal of Combinatorics, Information and System Sciences, 4, 449-462.
- Harrison, M.D. and Broom, M. (21 Feb 2009). A game-theoretic model of interspecific brood parasitism with sequential decisions.. J Theor Biol, 256(4), 504-517. doi: 10.1016/j.jtbi.2008.08.033
- Broom, M., Ruxton, G.D. and Kilner, R.M. (2008). Host life-history strategies and the evolution of chick-killing by brood parasitic offspring. Behavioral Ecology, 19(1), 22-34. doi: 10.1093/beheco/arm096
- Broom, M., Rychtar,J., and Sykes,C., (2008). The Evolution of Kleptoparasitism under Adaptive Dynamics Without Restriction. Journal of Interdisciplinary Mathematics, 11, 479-494.
- Broom, M. and Rychta r, J. (2008). An analysis of the fixation probability of a mutant on special classes of non-directed graphs. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 464(2098), 2609-2627.
- Broom, M., Luther, R.M., Ruxton, G.D. and Rychtár, J. (07 Nov 2008). A game-theoretic model of kleptoparasitic behavior in polymorphic populations.. J Theor Biol, 255(1), 81-91. doi: 10.1016/j.jtbi.2008.08.001
- Ellis, J.J., Broom, M. and Jones, S. (01 Mar 2007). Protein-RNA interactions: structural analysis and functional classes.. Proteins, 66(4), 903-911. doi: 10.1002/prot.21211
- Langridge, K.V., Broom, M. and Osorio, D. (18 Dec 2007). Selective signalling by cuttlefish to predators. Current Biology, 17(24). doi: 10.1016/j.cub.2007.10.028
- Broom, M. and Rychtár, J. (Feb 2007). The evolution of a kleptoparasitic system under adaptive dynamics.. J Math Biol, 54(2), 151-177. doi: 10.1007/s00285-006-0005-2
- Luther, R.M., Broom, M. and Ruxton, G.D. (May 2007). Is food worth fighting for? ESS's in mixed populations of Kleptoparasites and Foragers.. Bull Math Biol, 69(4), 1121-1146. doi: 10.1007/s11538-005-9052-x
- Ruxton, G.D., Speed, M.P. and Broom, M. (Sep 2007). The importance of initial protection of conspicuous mutants for the coevolution of defense and aposematic signaling of the defense: a modeling study.. Evolution, 61(9), 2165-2174. doi: 10.1111/j.1558-5646.2007.00185.x
- Yates, G.E. and Broom, M. (07 Oct 2007). Stochastic models of kleptoparasitism.. J Theor Biol, 248(3), 480-489. doi: 10.1016/j.jtbi.2007.05.007
- Broom, M., Nouvellet, P., Bacon, J.P. and Waxman, D. (Sep 2007). Parameter-free testing of the shape of a probability distribution.. Biosystems, 90(2), 509-515. doi: 10.1016/j.biosystems.2006.12.002
- Jackson, A.L., Beauchamp, G., Broom, M. and Ruxton, G.D. (07 May 2006). Evolution of anti-predator traits in response to a flexible targeting strategy by predators.. Proceedings. Biological sciences / The Royal Society, 273(1590), 1055-1062. doi: 10.1098/rspb.2005.3421
- Broom, M., Fraser,C.P, and Ruxton,G.D., (2006). Public information and patch estimation for group foragers: a re-evaluation of patch quitting strategies in a patchy environment. OIKOS, 112, 311-321.
- Speed, M.P., Ruxton, G.D. and Broom, M. (Mar 2006). Automimicry and the evolution of discrete prey defences. Biological Journal of the Linnean Society, 87(3), 393-402. doi: 10.1111/j.1095-8312.2006.00577.x
- Proctor, C.J., Broom, M. and Ruxton, G.D. (Jan 2006). Antipredator vigilance in birds: modelling the 'edge' effect.. Math Biosci, 199(1), 79-96. doi: 10.1016/j.mbs.2005.05.002
- Broom, M. (2006). Computational Genome Analysis: an Introduction by R. C. Deonier, S. Tavaré and M. S. Waterman. Journal of the Royal Statistical Society: Series A (Statistics in Society), 169(4), 1006-1007.
- Broom, M., Speed, M.P. and Ruxton, G.D. (07 Sep 2006). Evolutionarily stable defence and signalling of that defence.. J Theor Biol, 242(1), 32-43. doi: 10.1016/j.jtbi.2006.01.032
- Broom, M. and Ruxton,G.D., (2005). You can run or you can hide: optimal strategies for cryptic prey against pursuit predators. Behavioral Ecology, 16, 534-540.
- Broom, M. and Ruxton, G.D. (May 2005). You can run - Or you can hide: Optimal strategies for cryptic prey against pursuit predators. Behavioral Ecology, 16(3), 534-540. doi: 10.1093/beheco/ari024
- Broom, M., Speed, M.P. and Ruxton, G.D. (2005). Evolutionarily stable investment in secondary defences. Functional Ecology, 19(5), 836-843.
- Yates, G.E. and Broom, M. (07 Dec 2005). A stochastic model of the distribution of unequal competitors between resource patches.. J Theor Biol, 237(3), 227-237. doi: 10.1016/j.jtbi.2005.04.010
- Broom, M. (Apr 2005). Evolutionary games with variable payoffs.. C R Biol, 328(4), 403-412.
- Ruxton, G.D., Fraser, C. and Broom, M. (2005). An evolutionarily stable joining policy for group foragers. Behavioral Ecology, 16(5), 856-864.
- Broom, M. and Ruxton, G.D. (May 2004). A framework for modelling and analysing conspecific brood parasitism.. J Math Biol, 48(5), 529-544. doi: 10.1007/s00285-003-0244-4
- Luther, R.M. and Broom, M. (Mar 2004). Rapid convergence to an equilibrium state in kleptoparasitic populations.. J Math Biol, 48(3), 325-339. doi: 10.1007/s00285-003-0237-3
- Broom, M., Luther, R.M. and Ruxton, G.D. (Nov 2004). Resistance is useless?--Extensions to the game theory of kleptoparasitism.. Bull Math Biol, 66(6), 1645-1658. doi: 10.1016/j.bulm.2004.03.009
- Broom, M., Borries, C. and Koenig, A. (21 Nov 2004). Infanticide and infant defence by males--modelling the conditions in primate multi-male groups.. J Theor Biol, 231(2), 261-270. doi: 10.1016/j.jtbi.2004.07.001
- Broom, M. (2003). The use of multiplayer game theory in the modeling of biological populations. Comments on Theoretical Biology, 8, 103-123.
- Broom, M. and Ruxton, G.D. (Jan 2003). Evolutionarily stable kleptoparasitism: Consequences of different prey types. Behavioral Ecology, 14(1), 23-33. doi: 10.1093/beheco/14.1.23
- Proctor, C.J., Broom, M. and Ruxton, G.D. (2003). A communication-based spatial model of antipredator vigilance. Journal of Theoretical Biology, 220(1), 123-137. doi: 10.1006/jtbi.2003.3159
- Broom, M., Tang, Q. and Waxman, D. (Nov 2003). Mathematical analysis of a model describing evolution of an asexual population in a changing environment.. Math Biosci, 186(1), 93-108.
- Ward, A.J.W., Hoare, D.J., Couzin, I.D., Broom, M. and Krause, J. (2002). The effects of parasitism and body length on positioning within wild fish shoals. Journal of Animal Ecology, 71(1), 10-14.
- Ward, A.J.W., Botham, M.S., Hoare, D.J., James, R., Broom, M., Godin, J.-.G.J. and Krause, J. (07 Dec 2002). Association patterns and shoal fidelity in the three-spined stickleback. Proceedings of the Royal Society B: Biological Sciences, 269(1508), 2451-2455. doi: 10.1098/rspb.2002.2169
- Broom, M. (Feb 2002). Using game theory to model the evolution of information: An illustrative game. Entropy, 4(2), 35-46.
- Broom, M. and Cannings, C. (07 Dec 2002). Modelling dominance hierarchy formation as a multi-player game.. J Theor Biol, 219(3), 397-413.
- Broom, M. and Ruxton, G.D. (May 2002). A game theoretical approach to conspecific brood parasitism. Behavioral Ecology, 13(3), 321-327.
- Broom, M. (07 Nov 2002). A unified model of dominance hierarchy formation and maintenance.. J Theor Biol, 219(1), 63-72.
- Ruxton, G.D. and Broom, M. (07 Oct 2002). Intraspecific brood parasitism can increase the number of eggs that an individual lays in its own nest.. Proc Biol Sci, 269(1504), 1989-1992. doi: 10.1098/rspb.2002.2125
- Proctor, C.J., Broom, M. and Ruxton, G.D. (21 Aug 2001). Modelling antipredator vigilance and flight response in group foragers when warning signals are ambiguous. Journal of Theoretical Biology, 211(4), 409-417. doi: 10.1006/jtbi.2001.2353
- Ruxton, G.D., Broom, M. and Colegrave, N. (Apr 2001). Are unusually colored eggs a signal to potential conspecific brood parasites?. Am Nat, 157(4), 451-458. doi: 10.1086/319319
- Broom, M. and Ruxton, G.D. (2001). A model of dominance and resource division among a group of animals of differing quality. Population Ecology, 43(3), 213-220. doi: 10.1007/s10144-001-8185-5
- Broom, M. (May 2000). Patterns of evolutionarily stable strategies: the maximal pattern conjecture revisited.. J Math Biol, 40(5), 406-412.
- Broom, M., Cannings,C., and Vickers,G.T., (2000). Evolution in Knockout Contests: the Variable Strategy Case. Selection, 1, 5-21.
- Proctor, C.J. and Broom, M. (Mar 2000). A spatial model of antipredator vigilance.. IMA J Math Appl Med Biol, 17(1), 75-93.
- Broom, M., Cannings, C. and Vickers, G.T. (07 Dec 2000). A sequential-arrivals model of territory acquisition II.. J Theor Biol, 207(3), 389-403. doi: 10.1006/jtbi.2000.2187
- Broom, M. (Oct 2000). Bounds on the number of ESSs of a matrix game.. Math Biosci, 167(2), 163-175.
- Broom, M., Cannings, C. and Vickers, G.T. (May 2000). Evolution in knockout conflicts: the fixed strategy case.. Bull Math Biol, 62(3), 451-466. doi: 10.1006/bulm.1999.0161
- Ruxton, G.D. and Broom, M. (Jul 1999). Evolution of kleptoparasitism as a war of attrition. Journal of Evolutionary Biology, 12(4), 755-759. doi: 10.1046/j.1420-9101.1999.00078.x
- Broom, M. and Ruxton, G.D. (Dec 1998). Modelling responses in vigilance rates to arrivals to and departures from a group of foragers. IMA Journal of Mathemathics Applied in Medicine and Biology, 15(4), 387-400.
- Broom, M. and Ruxton, G.D. (1998). Evolutionarily stable stealing: Game theory applied to kleptoparasitism. Behavioral Ecology, 9(4), 397-403.
- Broom, M., Cannings, C. and Vickers, G.T. (Sep 1997). Multi-player matrix games. Bulletin of Mathematical Biology, 59(5), 931-952.
- Broom, M., Cannings, C. and Vickers, G.T. (07 Dec 1997). A sequential-arrivals model of territory acquisition. J Theor Biol, 189(3), 257-272. doi: 10.1006/jtbi.1997.0519
- Broom, M., Cannings, C. and Vickers, G.T. (1996). Choosing a nest site: Contests and catalysts. American Naturalist, 147(6), 1108-1114.
- Broom, M., Cannings, C. and Vickers, G.T. (Aug 1996). ESS patterns: adding pairs to an ESS.. Math Biosci, 136(1), 21-33.
- Broom, M., Cannings,C., and Vickers,G.T., (1994). Sequential methods for generating patterns of ESS's. Journal of Mathematical Biology, 32, 579-615.
- Broom, M., Cannings,C, and Vickers,G.T., (1993). On the number of local maxima of a constrained quadratic form. Proceedings of the Royal Society of London, A 443, 573-584.
Chapter (1)
- Broom, M., Ruxton,G.D., and Speed,M.P., (2007). Evolutionarily Stable Investment in Anti-predatory Defences and Aposematic Signalling. A. Deutsch, , R. Bravo de la Parra, , R. de Boer, , O. Diekmann, , P. Jagers, , E. Kisdi, , M.Kretzschmar, , P. Lansky, and H. Metz, (Ed.), Mathematical Modeling of Biological Systems, Volume II (pp. 37-48) Birkhauser, Boston:
Conference (3)
- Broom, M., Kiss, I. Z, and Rafols, I., (2009). Can epidemic models describe the diffusion of research topics across disciplines?. 2009, Rio de Janeiro.
- Broom, M. and Ruxton,G.D., (1999). A game theoretic model of kleptoparasitism. ,
- Broom, M., Cannings,C., and Vickers,G.T., (1996). Some examples of multi-player game dynamics. , Padova University.