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Games and teams with shared constraints.

Ankur A Kulkarni1

  • 1Systems and Control Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India kulkarni.ankur@iitb.ac.in.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|October 21, 2017
PubMed
Summary
This summary is machine-generated.

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Future energy systems require game theory for autonomous entities. Shared constraints in these games impact equilibrium concepts and introduce pricing mechanisms, crucial for optimization.

Area of Science:

  • Game theory
  • Energy systems analysis
  • Optimization

Background:

  • Future energy systems involve multiple interacting autonomous entities.
  • Game theory is foundational for designing and analyzing such complex systems.
  • Traditional game models lack system-level constraints common in energy domains.

Purpose of the Study:

  • To review game theory models and results applicable to future energy systems.
  • To explore the impact of shared constraints on game theory concepts.
  • To discuss the implications for equilibrium, pricing, and optimization in energy management.

Main Methods:

  • Review of existing game theory literature, focusing on shared constraint models.
  • Analysis of how shared constraints affect equilibrium properties (existence, uniqueness, efficiency).
Keywords:
game theoryshared constraintsteam theory

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  • Exploration of the link between shared constraints and pricing mechanisms.

    • Main Results:

    • Shared constraints significantly alter equilibrium concepts in game theory.
    • The presence of shared constraints naturally leads to the emergence of prices.
    • This framework provides motivation for recent energy management models.

    Conclusions:

    • Shared constraints are a critical factor in analyzing energy systems.
    • Game theory with shared constraints offers valuable insights into energy system design and optimization.
    • The study highlights the importance of considering system-level limitations in autonomous energy systems.