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The iterated spatial game among the mobile population is an interesting problem in the fields of biological, social and economic sciences. Inspired by some recent works, this paper concentrates on the iterated snowdrift game among movable and myopic agents. Two different decision-making schemes, namely the utility-maximum rule and the Fermi rule, are applied and examined. In the former case, cooperation is found to be enhanced by moving velocity with an upper bound. The analytical results of the model are deduced at two extreme cases when agents cannot move or move quickly. In the latter case, the influences of velocity and temptation-to-defect are much more complicated. These results allow a deeper insight of the related model as well as the emergence of cooperation. [ABSTRACT FROM AUTHOR]

Abstract: This paper studies the formation control problem for systems consisting of multiple mobile agents that are described by first-order differential equations and second-order differential equations respectively. The following issues are investigated: bounded input, disturbance, and time delay. In derivation of the main results, a blend of graph-theoretic and system-theoretic tools is employed, where local potential functions and LaSalle’s Invariant Principle play central roles. Finally, numerical examples which support the analytical results very well are also included. [Copyright &y& Elsevier]