Quantized Dissensus in Networks of Agents Subject to Death and Duplication

Dissensus is a modeling framework for networks of dynamic agents in competition for scarce resources. Originally inspired by biological cell behaviors, it also fits marketing, finance and many other application areas. Competition is often unstable in the sense that strong agents, those having access...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 57; no. 3; pp. 783 - 788
Main Authors Bauso, D., Giarre, L., Pesenti, R.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.03.2012
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Competition
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Consensus protocols
Convergence
Dynamical systems
Dynamics
Exact sciences and technology
Finance
Firm modelling
Gain
Heuristic algorithms
Joining processes
Monte Carlo methods
network based marketing
Network topology
Networks
Operational research and scientific management
Operational research. Management science
Portfolio theory
Protocols
quantized control
Software
Topology
Competition
network based marketing
Duplication
Finance
Discrete time systems
Cell biology
Consensus protocols
Distributed system
Modeling
Consensus
Marketing
quantized control
Multiagent system
Network topology
Graph connectivity
Signal quantization
Quantized signal
Gossiping(all to all)
Conflict theory
Discrete event system
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Summary:Dissensus is a modeling framework for networks of dynamic agents in competition for scarce resources. Originally inspired by biological cell behaviors, it also fits marketing, finance and many other application areas. Competition is often unstable in the sense that strong agents, those having access to large resources, gain more and more resources at the expenses of weak agents. Thus, strong agents duplicate when reaching a critical amount of resources, whereas weak agents die when losing all their resources. To capture all these phenomena we introduce discrete time gossip systems with unstable state dynamics interrupted by discrete events affecting the network topology. Invariancy of states, topologies, and network connectivity are explored.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2011.2167810