Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-05-01T13:33:46.324Z Has data issue: false hasContentIssue false

3 - Models of group or multi-party contests

Published online by Cambridge University Press:  05 June 2013

Ian C. W. Hardy
Affiliation:
University of Nottingham
Mark Briffa
Affiliation:
University of Plymouth
Get access

Summary

Summary

Animal conflict typically manifests itself as an aggressive interaction between two individuals, but the nature of this interaction can sometimes be influenced by third parties. For example, in some systems, individuals can observe fights between others and use the information they gain to help shape their own fighting strategies. Fighters themselves can modify their own behaviour dependent on whether an audience is present, and winners of fights sometimes display their victory to bystanders. In other systems, fights are genuinely polyadic and coalitions can form, with two or more individuals forming an alliance to protect or obtain a valuable resource. These coalitions often involve two individuals fighting one individual but sometimes contests more akin to warfare can take place between two large groups of individuals. Ecological interactions are shaped by natural selection and frequently involve cases in which the payoff from adopting any given behavioural strategy is dependent on the strategies adopted by other members of the population. So games, mathematical models of strategic interaction, are potentially a powerful tool to represent and analyse many of the multi-party contests described above. In this chapter we briefly review examples of multi-party contests in nature before going on to describe how and why such contests have been represented mathematically and the types of insight these models have delivered. Conflicts that take place within large networks are, almost by definition, complex affairs, but here we show that the representation of multi-party contests as triadic interactions can go some way to explaining a variety of phenomena ranging from victory displays to neighbour intervention and that these models can provide benchmarks for the exploration of more complex systems. Finally, we briefly review where this modelling work may lead, and identify some challenges that lie ahead.

Type
Chapter
Information
Animal Contests , pp. 33 - 46
Publisher: Cambridge University Press
Print publication year: 2013

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adams, ES & Mesterton-Gibbons, M (2003) Lanchester's attrition models and fights among social animals. Behavioral Ecology, 5, 719–723.CrossRefGoogle Scholar
Alexander, RD (1961) Aggressiveness, territoriality, and sexual behavior in field crickets (Orthoptera: Gryllidae). Behaviour, 17, 130–223.CrossRefGoogle Scholar
Ayre, DJ & Grosberg, RK (2005) Behind anenome lines: Factors affecting division of labour in the social cnidarian Anthopleura elegantissima. Animal Behaviour, 70, 97–110.CrossRefGoogle Scholar
Backwell, PRY & Jennions, MD (2004) Coalition among male fiddler crabs. Nature, 430, 417.CrossRefGoogle ScholarPubMed
Bakker, TCM, Feuth-De, Bruijn E & Sevenster, P (1989) Asymmetrical effects of prior winning and losing on dominance in sticklebacks (Gasterosteus aculeatus). Ethology, 82, 224–229.CrossRefGoogle Scholar
Batchelder, WH & Strashny, A (2008) Evolving dominance hierarchies from pairwise contests among equally endowed players. Presentation to the Fourth Joint Japan–North America Mathematical Sociology Conference, Redondo Beach, California, May 2008.Google Scholar
Batchelor, TP & Briffa, M (2010) Influences on resource-holding potential during dangerous group contests between wood ants. Animal Behaviour, 80, 443–449.CrossRefGoogle Scholar
Beacham, JL (2003) Models of dominance hierarchy formation: Effects of prior experience and intrinsic traits. Behaviour, 140, 1275–1303.CrossRefGoogle Scholar
Bercovitch, FB (1988) Coalitions, cooperation and reproductive tactics among adult male baboons. Animal Behaviour, 36, 1198–1209.CrossRefGoogle Scholar
Bertram, SM, Rook, VLM & Fitzsimmons, LP (2010) Strutting their stuff: Victory displays in the spring field cricket, Gryllus veletis. Behaviour, 147, 1249–1266.CrossRefGoogle Scholar
Boehm, C (1993) Egalitarian behavior and reverse dominance hierarchy. Current Anthropology, 34, 227–240.CrossRefGoogle Scholar
Boehm, C (1999) Hierarchy in the Forest: The Evolution of Egalitarian Behavior. Cambridge, MA: Harvard University Press.Google Scholar
Bonanni, R, Valsecchi, P & Natoli, E (2010) Pattern of individual participation and cheating in conflicts between groups of free-ranging dogs. Animal Behaviour, 79, 957–968.CrossRefGoogle Scholar
Bower, JL (2005) The occurrence and function of victory displays within communication networks. In: P McGregor (ed.) Animal Communication Networks, pp. 114–126. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Broom, M & Cannings, C (2002) Modelling dominance hierarchy formation as a multi-player game. Journal of Theoretical Biology, 219, 397–413.CrossRefGoogle ScholarPubMed
Buston, P (2003) Social hierarchies: Size and growth modification in clownfish. Nature, 424, 145–146.CrossRefGoogle ScholarPubMed
Caro, TM (1994) Cheetahs of the Serengeti Plains: Group Living in an Asocial Species. Wildlife Behaviour and Ecology Series. Chicago, IL: University of Chicago Press.Google Scholar
Caro, T (2005) Antipredator Defenses in Birds and Mammals. Chicago, IL: University of Chicago Press.Google Scholar
Chase, ID, Bartolomeo, C & Dugatkin, LA (1994) Aggressive interactions and intercontest interval, how long do winners keep winning? Animal Behaviour, 48, 393–400.CrossRefGoogle Scholar
Connor, R & Whitehead, H (2005) Alliances II. Rates of encounter during resource utilization, a general model of intra-sexual alliance formation in fission–fusion societies. Animal Behaviour, 69, 127–132.CrossRefGoogle Scholar
Connor, RC, Smolker, RA & Richards, AF (1992) Dolphin alliances and coalitions. In: Harcourt, AH & de Waal, FBM (eds.) Coalitions and Alliances in Humans and Other Animals, pp. 415–443. Oxford: Oxford University Press.Google Scholar
Connor, RC, Heithaus, RM & Barre, LM (1999) Superalliance of bottle-nose dolphins. Nature, 371, 571–572.CrossRefGoogle Scholar
Crowley, PH (2000) Hawks doves and mixed-symmetry games. Journal of Theoretical Biology, 204, 543–563.CrossRefGoogle ScholarPubMed
Detto, T, Jennions, MD & Backwell, PRY (2010) When and why do territorial coalitions occur? Experimental evidence from a Fiddler crab. American Naturalist, 175, E119–E125.CrossRefGoogle ScholarPubMed
Doorn, GS, Hengeveld, GM & Weissing, FJ (2003) The evolution of social dominance – II, multi-player models. Behaviour, 140, 1333–1358.CrossRefGoogle Scholar
Dugatkin, LA (1998) Breaking up fights between others, a model of intervention behaviour. Proceedings of the Royal Society of London B, 265, 433–436.CrossRefGoogle Scholar
Dugatkin, LA & Druen, M (2004) The social implications of winner and loser effects. Proceedings of the Royal Society of London B, 271 (Suppl. 6), S488–S489.CrossRefGoogle ScholarPubMed
Earley, R & Dugatkin, LA (2002) Eavesdropping on visual cues in green swordtail (Xiphophorus helleri) fights, a case for networking. Proceedings of the Royal Society of London B, 269, 943–952.CrossRefGoogle ScholarPubMed
Elfström, ST (1997) Fighting behaviour and strategy of rock pipit Anthus petrosus neighbours, cooperative defence. Animal Behaviour, 54, 535–542.CrossRefGoogle ScholarPubMed
Engh, AL, Siebert, ER, Greenberg, DA, et al. (2005) Patterns of alliance formation and postconflict aggression indicate spotted hyaenas recognise third-party relationships. Animal Behaviour, 69, 209–217.CrossRefGoogle Scholar
Falger, VS (1992) Cooperation in conflict, alliances in international politics. In: Harcourt, AH & de Waal, FBM (eds.) Coalitions and Alliances in Humans and Other Animals, pp. 323–348. Oxford: Oxford University Press.Google Scholar
Field, L & Rind, F (1992) Stridulatory behaviour in a New Zealand weta Hemideina crassidens. Journal of Zoology, 228, 371–394.CrossRefGoogle Scholar
Fitzsimmons, LP, Foote, JR, Ratcliffe, LM, et al. (2008) Eavesdropping and communication networks revealed through playback and an acoustic location system. Behavioral Ecology, 19, 824–829.CrossRefGoogle Scholar
Franks, NR & Partridge, LW (1993) Lanchester battles and the evolution of combat in ants. Animal Behaviour, 45, 197–199.CrossRefGoogle Scholar
Gavrilets, S, Duenez-Guzman, EA & Vose, MD (2008) Dynamics of alliance formation and the egalitarian revolution. PLoS ONE, 3, e3293.CrossRefGoogle ScholarPubMed
Getty, T (1987) Dear enemy and the prisoner's dilemma: Why should territorial neighbors form defensive coalitions? American Zoologist, 27, 327–336.CrossRefGoogle Scholar
Goodall, J (1986) The Chimpanzees of Gombe. Patterns of Behavior. Cambridge, MA: Belknap Press of Harvard University Press.Google Scholar
Grafe, T & Bitz, JH (2004) An acoustic postconflict display in the duetting tropical boubou (Laniarius aethiopicus): A signal of victory? BMC Ecology, 4, 1.CrossRefGoogle ScholarPubMed
Hirshleifer, J (2000) The macrotechnology of conflict. Journal of Conflict Resolution, 44, 773–792.CrossRefGoogle Scholar
Hofmann, HA & Stevenson, PA (2000) Flight restores fight in crickets. Nature, 403, 613.CrossRefGoogle ScholarPubMed
Hsu, Y & Wolf, LL (1999) The winner and loser effect, integrating multiple experiences. Animal Behaviour, 57, 903–910.CrossRefGoogle ScholarPubMed
Hsu, Y, Earley, RL & Wolf, LL (2006) Modulation of aggressive behaviour by fighting experience: Mechanisms and contest outcomes. Biological Reviews, 81, 33–74.CrossRefGoogle ScholarPubMed
Johnstone, RA (2001) Eavesdropping and animal conflict. Proceedings of the National Academy of Sciences USA, 98, 9177–9180.CrossRefGoogle ScholarPubMed
Johnstone, RA & Dugatkin, LA (2000) Coalition formation in animals and the nature of winner and loser effects. Proceedings of the Royal Society of London B, 267, 17–21.CrossRefGoogle ScholarPubMed
Judge, KA & Bonanno, VL (2008) Male weaponry in a fighting cricket. PLoS ONE, 3, e3980.CrossRefGoogle Scholar
Krebs, JR (1982) Territorial defense in the great tit (Parus major): Do residents always win? Behavioural Ecology and Sociobiology, 11, 185–194.CrossRefGoogle Scholar
Lanchester, FW (1916) Aircraft in Warfare. New York, NY: Appleton.Google Scholar
Lorenz, KZ (1966) The triumph ceremony of the greylag goose Anser anser L. Philosophical Transactions of the Royal Society B, 251, 477–478.CrossRefGoogle Scholar
Marchi, S (2005) Computational and Mathematical Modelling in the Social Sciences. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Maynard, Smith J (1982) Evolution and the Theory of Games. Cambridge: Cambridge University Press.Google Scholar
Maynard, Smith J (1983) Game theory and the evolution of cooperation. In: Bendall, DS (ed.) Evolution from Molecules to Men, pp. 445–456. Cambridge: Cambridge University Press.Google Scholar
McGregor, PK & Peake, TM (2000) Communication networks, social environments for receiving and signalling behaviour. Acta Ethologica, 2, 71–81.CrossRefGoogle Scholar
McNamara, JM & Houston, AI (2005) If animals know their own fighting ability the evolutionarily stable level of fighting is reduced. Journal of Theoretical Biology, 232, 1–6.CrossRefGoogle ScholarPubMed
Mesterton-Gibbons, M (1999) On the evolution of pure winner and loser effects, a game-theoretic model. Bulletin of Mathematical Biology, 61, 1151–1186.CrossRefGoogle ScholarPubMed
Mesterton-Gibbons, M & Sherratt, TN (2006) Victory displays: A game-theoretic analysis. Behavioral Ecology, 17, 597–605.CrossRefGoogle Scholar
Mesterton-Gibbons, M & Sherratt, TN (2007a) Social eavesdropping: A game-theoretic analysis. Bulletin of Mathematical Biology, 69, 1255–1276.CrossRefGoogle ScholarPubMed
Mesterton-Gibbons, M & Sherratt, TN (2007b) Coalition formation: A game-theoretic analysis. Behavioral Ecology, 18, 277–286.CrossRefGoogle Scholar
Mesterton-Gibbons, M & Sherratt, TN (2009a) Animal network phenomena: Insights from triadic games. Complexity, 14, 44–50.CrossRefGoogle Scholar
Mesterton-Gibbons, M & Sherratt, TN (2009b) Neighbor intervention: A game-theoretic model. Journal of Theoretical Biology, 256, 263–275.CrossRefGoogle ScholarPubMed
Mesterton-Gibbons, M & Sherratt, TN (2011) Information, variance and cooperation: Minimal models. Dynamic Games and Applications, 1, 419–439.CrossRefGoogle Scholar
Mesterton-Gibbons, M & Sherratt, TN (2012) Signalling victory to ensure dominance: a continuous model. Annals of the International Society of Dynamic Games, 12, 25–38.Google Scholar
Mesterton-Gibbons, M, Hardy, ICW & Field, J (2006) The effect of differential survivorship on the stability of reproductive queueing. Journal of Theoretical Biology, 242, 699–712.CrossRefGoogle ScholarPubMed
Mesterton-Gibbons, M, Gavrilets, S, Gravner, J, et al. (2011) Models of coalition or alliance formation. Journal of Theoretical Biology, 274, 187–204.CrossRefGoogle ScholarPubMed
Nakamaru, M & Sasaki, A (2003) Can transitive inference evolve in animals playing the Hawk–Dove game? Journal of Theoretical Biology, 222, 461–470.CrossRefGoogle ScholarPubMed
Noë, R (1994) A model of coalition formation among male baboons with fighting ability as the crucial parameter. Animal Behaviour, 47, 211–213.CrossRefGoogle Scholar
Noë, R & Sluijter, AA (1995) Which adult male savanna baboons form coalitions? International Journal of Primatology, 16, 77–105.CrossRefGoogle Scholar
Oliveira, RF, McGregor, PK & Latruffe, C (1998) Know thine enemy, fighting fish gather information from observing conspecific interactions. Proceedings of the Royal Society of London B, 265, 1045–1049.CrossRefGoogle Scholar
Packer, C (1977) Reciprocal altruism in Papio anubis. Nature, 265, 441–443.CrossRefGoogle Scholar
Packer, C, Gilbert, DA, Pusey, AE, et al. (1991) A molecular genetic analysis of kinship and co-operation in African lions. Nature, 351, 562–565.CrossRefGoogle Scholar
Panchanathan, K & Boyd, R (2004) Indirect reciprocity can stabilize cooperation without the second-order free rider problem. Nature, 432, 499–502.CrossRefGoogle ScholarPubMed
Pandit, SA & van Schaik, CP (2003) A model for leveling coalitions among primate males, toward a theory of egalitarianism. Behavioral Ecology and Sociobiology, 55, 161–168.CrossRefGoogle Scholar
Peake, TM (2005) Eavesdropping in communication networks. In: McGregor, P (ed.) Animal Communication Networks, pp. 13–37. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Plowes, NJR & Adams, ES (2005) An empirical test of Lanchester's square law, mortality during battles of the fire ant Solenopsis invicta. Proceedings of the Royal Society of London B, 272, 1809–1814.CrossRefGoogle ScholarPubMed
Poundstone, W (1993) Prisoner's Dilemma, John Von Neumann, Game Theory and the Puzzle of the Bomb. New York, NY: Anchor Books Doubleday.Google Scholar
Radford, AN & du Plessis, MA (2004) Territorial vocal rallying in the green woodhoopoe: Factors affecting contest length and outcome. Animal Behaviour, 68, 803–810.CrossRefGoogle Scholar
Rubin, PH (2002) Darwinian Politics: The Evolutionary Origin of Freedom. New Brunswick, NJ: Rutgers University Press.Google Scholar
Rutte, C, Taborsky, M & Brinkhof, MWG (2006) What sets the odds of winning and losing? Trends in Ecology and Evolution, 21, 16–21.CrossRefGoogle ScholarPubMed
Scheffran, J (2006) The formation of adaptive coalitions. In: Haurie, A, Muto, S, Petrosjan, LA, et al. (eds.) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, 8, 163–178. Boston, MA: Birkhäuser.Google Scholar
Semyonova, A (2003) The Social Organization of the Domestic Dog; A Longitudinal Study of Domestic Canine Behavior and the Ontogeny of Domestic Canine Social Systems. The Hague: The Carriage House Foundation (, version 2006).Google Scholar
Silk, JB, Alberts, SC & Altmann, J (2004) Patterns of coalition formation by adult female baboons in Amboseli Kenya. Animal Behaviour, 67, 573–582.CrossRefGoogle Scholar
Strashny, A (2007) Dynamic Paired Comparison Models. PhD Thesis, University of California, Irvine.Google Scholar
Thomas, ML, Payne-Makkrisâ, CM, Suarez, AV, et al. (2006) When supercolonies collide: Territorial aggression in an invasive and unicolonial social insect. Molecular Ecology, 15, 4303–4315.CrossRefGoogle Scholar
Tsuji, K & Tsuji, N (2005) Why is dominance hierarchy age-related in social insects? The relative longevity hypothesis. Behavioral Ecology and Sociobiology, 58, 517–526.CrossRefGoogle Scholar
Waal, FBM & Harcourt, AH (1992) Coalitions and alliances, a history of ethological research In: Harcourt, AH & de Waal, FBM (eds.) Coalitions and Alliances in Humans and Other Animals, pp. 1–19. Oxford: Oxford University Press.Google Scholar
Walters, JR (1980) Interventions and the development of dominance relationships in female baboons. Folia Primatologia, 34, 61–89.CrossRefGoogle ScholarPubMed
Whitehead, H & Connor, R (2005) Alliances I. How large should alliances be? Animal Behaviour, 69, 117–126.CrossRefGoogle Scholar
Wilson, EO (1998) Consilience, the Unity of Knowledge. New York, NY: Random House.Google Scholar
Wilson, MI, Britton, NF & Franks, NR (2002) Chimpanzees and the mathematics of battle. Proceedings of the Royal Society of London B, 269, 1107–1112.CrossRefGoogle ScholarPubMed
Zabel, CJ, Glickman, SE, Frank, LG, et al. (1992) Coalition formation in a colony of prepubertal spotted hyaenas. In: Harcourt, AH & de Waal, FBM (eds.) Coalitions and Alliances in Humans and Other Animals, pp. 113–135. Oxford: Oxford University Press.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×