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72     P.B. Sujit et al.
                                  x 10 4        q = 1             5 x 10 4    q = 2
                                 5
                                4.5 4                             4.5 4
                               Total uncertainty  3.5 3  Cooperative  Total uncertainty  3.5 3  Greedy


                                2.5
                                 2                          Greedy  2.5              Cooperative
                                                         Nash     2
                                                       Coalition Nash             Nash
                                1.5                                              Coalition Nash
                                  0  20  40  60  80  100  120  140  160  180  200  1.5
                                                                   0  20  40  60  80  100  120  140  160  180  200
                                            Number of steps                Number of steps
                                     Fig. 12. Performance in the non-ideal case with varying β
                           about the other agents’ actions, perform equally well and are also better than
                           the cooperative strategy which assumes cooperative behavior from the other
                           agents.


                           6 Conclusions

                           In this chapter, we addressed the problem of task allocation among auto-
                           nomous UAVs operating in a swarm using concepts from team theory, negoti-
                           ation, and game theory, and showed that effective and intelligent strategies can
                           be devised from these well-known theories to solve complex decision-making
                           problems in multi-agent systems. The role of communication between agents
                           was explicitly accounted for in the problem formulation. This is one of the
                           first use of these concepts to multi-UAV task allocation problems and we
                           hope that this framework and results will be a catalyst to further research in
                           this challenging area.



                           Acknowledgements

                           This work was partially supported by the IISc-DRDO Program on Advanced
                           Research in Mathematical Engineering.


                           References

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                            2. J.W. Curtis and R. Murphey: Simultaneaous area search and task assignment
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