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T H Cluttonbrock - One of the best experts on this subject based on the ideXlab platform.

  • dispersal eviction and conflict in meerkats suricata suricatta an Evolutionarily Stable Strategy model
    The American Naturalist, 2005
    Co-Authors: Philip A Stephens, Andrew F. Russell, Andrew J Young, William J Sutherland, T H Cluttonbrock
    Abstract:

    Abstract: Decisions regarding immigration and emigration are crucial to understanding group dynamics in social animals, but dispersal is rarely treated in models of optimal behavior. We developed a model of Evolutionarily Stable dispersal and eviction strategies for a cooperative mammal, the meerkat Suricata suricatta. Using rank and group size as state variables, we determined state‐specific probabilities that subordinate females would disperse and contrasted these with probabilities of eviction by the dominant female, based on the long‐term fitness consequences of these behaviors but incorporating the potential for error. We examined whether long‐term fitness considerations explain group size regulation in meerkats; whether long‐term fitness considerations can lead to conflict between dominant and subordinate female group members; and under what circumstances those conflicts were likely to lead to stability, dispersal, or eviction. Our results indicated that long‐term fitness considerations can explain ...

  • dispersal eviction and conflict in meerkats suricata suricatta an Evolutionarily Stable Strategy model
    The American Naturalist, 2005
    Co-Authors: Philip A Stephens, Andrew F. Russell, Andrew J Young, William J Sutherland, T H Cluttonbrock
    Abstract:

    Decisions regarding immigration and emigration are crucial to understanding group dynamics in social animals, but dispersal is rarely treated in models of optimal behavior. We developed a model of Evolutionarily Stable dispersal and eviction strategies for a cooperative mammal, the meerkat Suricata suricatta. Using rank and group size as state variables, we determined state-specific probabilities that subordinate females would disperse and contrasted these with probabilities of eviction by the dominant female, based on the long-term fitness consequences of these behaviors but incorporating the potential for error. We examined whether long-term fitness considerations explain group size regulation in meerkats; whether long-term fitness considerations can lead to conflict between dominant and subordinate female group members; and under what circumstances those conflicts were likely to lead to stability, dispersal, or eviction. Our results indicated that long-term fitness considerations can explain group size regulation in meerkats. Group size distributions expected from predicted dispersal and eviction strategies matched empirical distributions most closely when emigrant survival was approximately that determined from the field study. Long-term fitness considerations may lead to conflicts between dominant and subordinate female meerkats, and eviction is the most likely result of these conflicts. Our model is computationally intensive but provides a general framework for incorporating future changes in the size of multimember cooperative breeding groups.

Jacek Mie Kisz - One of the best experts on this subject based on the ideXlab platform.

  • stability of Evolutionarily Stable strategies in discrete replicator dynamics with time delay
    Journal of Theoretical Biology, 2004
    Co-Authors: Jan Alboszta, Jacek Mie Kisz
    Abstract:

    We construct two models of discrete-time replicator dynamics with time delay. In the social-type model, players imitate opponents taking into account average payoffs of games played some units of time ago. In the biological-type model, new players are born from parents who played in the past. We consider two-player games with two strategies and a unique mixed Evolutionarily Stable Strategy. We show that in the first type of dynamics, it is asymptotically Stable for small time delays and becomes unStable for big ones when the population oscillates around its stationary state. In the second type of dynamics, however, Evolutionarily Stable Strategy is asymptotically Stable for any size of a time delay.

Philip A Stephens - One of the best experts on this subject based on the ideXlab platform.

  • dispersal eviction and conflict in meerkats suricata suricatta an Evolutionarily Stable Strategy model
    The American Naturalist, 2005
    Co-Authors: Philip A Stephens, Andrew F. Russell, Andrew J Young, William J Sutherland, T H Cluttonbrock
    Abstract:

    Abstract: Decisions regarding immigration and emigration are crucial to understanding group dynamics in social animals, but dispersal is rarely treated in models of optimal behavior. We developed a model of Evolutionarily Stable dispersal and eviction strategies for a cooperative mammal, the meerkat Suricata suricatta. Using rank and group size as state variables, we determined state‐specific probabilities that subordinate females would disperse and contrasted these with probabilities of eviction by the dominant female, based on the long‐term fitness consequences of these behaviors but incorporating the potential for error. We examined whether long‐term fitness considerations explain group size regulation in meerkats; whether long‐term fitness considerations can lead to conflict between dominant and subordinate female group members; and under what circumstances those conflicts were likely to lead to stability, dispersal, or eviction. Our results indicated that long‐term fitness considerations can explain ...

  • dispersal eviction and conflict in meerkats suricata suricatta an Evolutionarily Stable Strategy model
    The American Naturalist, 2005
    Co-Authors: Philip A Stephens, Andrew F. Russell, Andrew J Young, William J Sutherland, T H Cluttonbrock
    Abstract:

    Decisions regarding immigration and emigration are crucial to understanding group dynamics in social animals, but dispersal is rarely treated in models of optimal behavior. We developed a model of Evolutionarily Stable dispersal and eviction strategies for a cooperative mammal, the meerkat Suricata suricatta. Using rank and group size as state variables, we determined state-specific probabilities that subordinate females would disperse and contrasted these with probabilities of eviction by the dominant female, based on the long-term fitness consequences of these behaviors but incorporating the potential for error. We examined whether long-term fitness considerations explain group size regulation in meerkats; whether long-term fitness considerations can lead to conflict between dominant and subordinate female group members; and under what circumstances those conflicts were likely to lead to stability, dispersal, or eviction. Our results indicated that long-term fitness considerations can explain group size regulation in meerkats. Group size distributions expected from predicted dispersal and eviction strategies matched empirical distributions most closely when emigrant survival was approximately that determined from the field study. Long-term fitness considerations may lead to conflicts between dominant and subordinate female meerkats, and eviction is the most likely result of these conflicts. Our model is computationally intensive but provides a general framework for incorporating future changes in the size of multimember cooperative breeding groups.

K M Passino - One of the best experts on this subject based on the ideXlab platform.

  • honey bee social foraging algorithms for resource allocation theory and application
    Engineering Applications of Artificial Intelligence, 2010
    Co-Authors: Nicanor Quijano, K M Passino
    Abstract:

    A model of honey bee social foraging is introduced to create an algorithm that solves a class of dynamic resource allocation problems. We prove that if several such algorithms (''hives'') compete in the same problem domain, the Strategy they use is a Nash equilibrium and an Evolutionarily Stable Strategy. Moreover, for a single or multiple hives we prove that the allocation Strategy is globally optimal. To illustrate the practical utility of the theoretical results and algorithm we show how it can solve a dynamic voltage allocation problem to achieve a maximum uniformly elevated temperature in an interconnected grid of temperature zones.

  • honey bee social foraging algorithms for resource allocation part i algorithm and theory
    American Control Conference, 2007
    Co-Authors: Nicanor Quijano, K M Passino
    Abstract:

    A model of honey bee social foraging is introduced to create an algorithm that solves a class of optimal resource allocation problems. We prove that if several such algorithms compete in the same problem domain, the Strategy they use is a special type of Evolutionarily Stable Strategy. Moreover, for a single or multiple hives we prove that an ideal free distribution is achieved, and that the allocation Strategy is globally optimal. In the companion paper [Quijano, N., et al., 2007] we illustrate the practical utility of these results via a multizone temperature control experiment.

Wang Zuwang - One of the best experts on this subject based on the ideXlab platform.

  • Evolutionarily Stable Strategy Stable state periodic cycle and chaos in a simple discrete time two phenotype model
    Journal of Theoretical Biology, 1997
    Co-Authors: Yang Qisen, Jiang Zhigang, Wang Zuwang
    Abstract:

    A simple discrete time two-phenotype matrix game model is investigated. In this model, according to the suggestion of Vincent & Fisher (1988, Evolutionary Ecology 2, 321-337), the fitness of an individual is defined to be an exponential function of its expected pay-off value. The results show that : (i) in our model, the static conditions of ESS are only dependent on the properties of pay-off matrix, but not on the specific form of fitness function. This result implies that the ESS conditions on our model are completely identical with the conditions in the two-phenotype model with linear fitness function. (ii) In our model, the relationship between the static conditions of ESS and the dynamic properties of the pure Strategy model is that if the interior fixed point of the pure Strategy model is not an ESS-equilibrium, then it must be unStable; conversely, if the interior fixed point of the pure Strategy model is an ESS-equilibrium, then it can be Stable or unStable, and an unStable ESS-equilibrium must correspond to the cyclic or chaotic behaviour of the population state.

  • effect of time delay and Evolutionarily Stable Strategy
    Journal of Theoretical Biology, 1997
    Co-Authors: Wang Zuwang
    Abstract:

    In this paper, a simple two-phenotype model with time delay is investigated. The main results are that: (i) the stability of the interior equilibrium point of the pure Strategy model not only depends on the property of the payoff matrix but also the effect of time delay; (ii) the conditions of the Evolutionarily Stable Strategy in the two-phenotype model with time delay are completely identical with the conditions in the two-phenotype model with no time delay; and (iii) a mixed Evolutionarily Stable Strategy can be an unStable equilibrium state of the population in the two-phenotype model with time delay.