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  1. Professor Mark Broom

Contact Information

Contact

Visit Mark

E224, Drysdale Building

null

Postal Address

City University London
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

Mark's research interests are in Mathematical Biology, in particular Evolutionary Game Theory. This includes both theoretical work on general games and the modelling of specific animal behaviours. Main research areas include multiplayer game theory, models of food stealing (kleptoparasitism), the signalling behaviour of prey species, and evolutionary processes on graphs.

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 (89)

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. Broom, M., Ruxton, G.D. and Schaefer, H.M. (2013). Signal verification can promote reliable signalling.. Proceedings. Biological sciences / The Royal Society, 280(1771), 20131560-20131560.
  9. 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.
  10. 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
  11. 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
  12. 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
  13. 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
  14. Broom, M. and Rychtář, J. (2012). A general framework for analysing multiplayer games in networks using territorial interactions as a case study. Journal of Theoretical Biology, 302, 70-80.
  15. Barker, H.A., Broom, M. and Rychtář, J. (2012). A game theoretic model of kleptoparasitism with strategic arrivals and departures of beetles at dung pats. Journal of Theoretical Biology, 300, 292-298.
  16. Hadjichrysanthou, C. and Broom, M. (2012). When should animals share food? Game theory applied to kleptoparasitic populations with food sharing. Behavioral Ecology, 23(5), 977-991.
  17. 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
  18. 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

    [publisher's website]

  19. Broom, M., Rychtá, J. and Stadler, B.T. (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.
  20. 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
  21. 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.
  22. Broom, M., Hadjichrysanthou, C. and Rychtář, J. (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.
  23. 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.
  24. 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.
  25. 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
  26. 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
  27. Broom, M., Rychtar,J., and Stadler,B., (2009). Evolutionary Dynamics on Small-Order Graphs. Journal of Interdisciplinary Mathematics, 12, 129-140.
  28. 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.
  29. 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.
  30. Broom, M. (2009). Balancing risks and rewards: the logic of violence.. Front Behav Neurosci, 3, 51. doi: 10.3389/neuro.08.051.2009
  31. 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
  32. 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.
  33. 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
  34. 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.
  35. Broom, M., Rychtar,J., and Sykes,C., (2008). The Evolution of Kleptoparasitism under Adaptive Dynamics Without Restriction. Journal of Interdisciplinary Mathematics, 11, 479-494.
  36. 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.
  37. 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
  38. 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
  39. 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
  40. 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
  41. Langridge, K.V., Broom, M. and Osorio, D. (2007). Selective signalling by cuttlefish to predators. Current Biology, 17(24), R1044-R1045.
  42. 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
  43. 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
  44. 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
  45. Jackson, A.L., Beauchamp, G., Broom, M. and Ruxton, G.D. (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.
  46. 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.
  47. Speed, M.P., Ruxton, G.D. and Broom, M. (2006). Automimicry and the evolution of discrete prey defences. Biological Journal of the Linnean Society, 87(3), 393-402.
  48. 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
  49. 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.
  50. 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
  51. 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.
  52. 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(3), 534-540.
  53. Broom, M., Speed, M.P. and Ruxton, G.D. (2005). Evolutionarily stable investment in secondary defences. Functional Ecology, 19(5), 836-843.
  54. 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
  55. Broom, M. (Apr 2005). Evolutionary games with variable payoffs.. C R Biol, 328(4), 403-412.
  56. Ruxton, G.D., Fraser, C. and Broom, M. (2005). An evolutionarily stable joining policy for group foragers. Behavioral Ecology, 16(5), 856-864.
  57. 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
  58. 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
  59. 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
  60. 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
  61. Broom, M. (2003). The use of multiplayer game theory in the modeling of biological populations. Comments on Theoretical Biology, 8, 103-123.
  62. Broom, M. and Ruxton, G.D. (2003). Evolutionarily stable kleptoparasitism: Consequences of different prey types. Behavioral Ecology, 14(1), 23-33.
  63. 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.
  64. 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.
  65. 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.
  66. Ward, A.J.W., Botham, M.S., Hoare, D.J., James, R., Broom, M., Godin, J.-.G.J. and Krause, J. (2002). Association patterns and shoal fidelity in the three-spined stickleback. Proceedings of the Royal Society B: Biological Sciences, 269(1508), 2451-2455.
  67. Broom, M. (2002). Using game theory to model the evolution of information: An illustrative game. Entropy, 4(2), 35-46.
  68. Broom, M. and Cannings, C. (07 Dec 2002). Modelling dominance hierarchy formation as a multi-player game.. J Theor Biol, 219(3), 397-413.
  69. Broom, M. and Ruxton, G.D. (2002). A game theoretical approach to conspecific brood parasitism. Behavioral Ecology, 13(3), 321-327.
  70. Broom, M. (07 Nov 2002). A unified model of dominance hierarchy formation and maintenance.. J Theor Biol, 219(1), 63-72.
  71. 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
  72. Proctor, C.J., Broom, M. and Ruxton, G.D. (2001). Modelling antipredator vigilance and flight response in group foragers when warning signals are ambiguous. Journal of Theoretical Biology, 211(4), 409-417.
  73. 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
  74. 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.
  75. Broom, M. (May 2000). Patterns of evolutionarily stable strategies: the maximal pattern conjecture revisited.. J Math Biol, 40(5), 406-412.
  76. Broom, M., Cannings,C., and Vickers,G.T., (2000). Evolution in Knockout Contests: the Variable Strategy Case. Selection, 1, 5-21.
  77. Proctor, C.J. and Broom, M. (Mar 2000). A spatial model of antipredator vigilance.. IMA J Math Appl Med Biol, 17(1), 75-93.
  78. 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
  79. Broom, M. (Oct 2000). Bounds on the number of ESSs of a matrix game.. Math Biosci, 167(2), 163-175.
  80. 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
  81. Ruxton, G.D. and Broom, M. (1999). Evolution of kleptoparasitism as a war of attrition. Journal of Evolutionary Biology, 12(4), 755-759.
  82. Broom, M. and Ruxton, G.D. (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.
  83. Broom, M. and Ruxton, G.D. (1998). Evolutionarily stable stealing: Game theory applied to kleptoparasitism. Behavioral Ecology, 9(4), 397-403.
  84. Broom, M., Cannings, C. and Vickers, G.T. (1997). Multi-player matrix games. Bulletin of Mathematical Biology, 59(5), 931-952.
  85. 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
  86. Broom, M., Cannings, C. and Vickers, G.T. (1996). Choosing a nest site: Contests and catalysts. American Naturalist, 147(6), 1108-1114.
  87. Broom, M., Cannings, C. and Vickers, G.T. (Aug 1996). ESS patterns: adding pairs to an ESS.. Math Biosci, 136(1), 21-33.
  88. Broom, M., Cannings,C., and Vickers,G.T., (1994). Sequential methods for generating patterns of ESS's. Journal of Mathematical Biology, 32, 579-615.
  89. 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)

  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)

  1. Broom, M., Kiss, I. Z, and Rafols, I., (2009). Can epidemic models describe the diffusion of research topics across disciplines?. 2009, Rio de Janeiro.
  2. Broom, M. and Ruxton,G.D., (1999). A game theoretic model of kleptoparasitism. ,
  3. Broom, M., Cannings,C., and Vickers,G.T., (1996). Some examples of multi-player game dynamics. , Padova University.