An approximation algorithm and price of anarchy for the binary-preference capacitated selfish replication game

We consider in this paper a simple model for human interactions as service providers of different resources over social networks, and study the dynamics of selfish behavior of such social entities using a game-theoretic model known as binary-preference capacitated selfish replication (CSR) game. It...

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Veröffentlicht in:2015 54th IEEE Conference on Decision and Control (CDC) S. 3568 - 3573
Hauptverfasser: Etesami, Seyed Rasoul, Basar, Tamer
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.12.2015
Schlagworte:
Capacitated selfish replication game
Context
Economics
Games
Nash equilibrium
optimal allocation
potential function
price of anarchy
pure Nash equilibrium (NE)
quasi-polynomial algorithm
Resource management
Social network services
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Abstract We consider in this paper a simple model for human interactions as service providers of different resources over social networks, and study the dynamics of selfish behavior of such social entities using a game-theoretic model known as binary-preference capacitated selfish replication (CSR) game. It is known that such games have an associated ordinal potential function, and hence always admit a pure-strategy Nash equilibrium (NE). We study the price of anarchy of such games, and show that it is bounded above by 3; we further provide some instances for which the price of anarchy is at least 2. We also devise a quasi-polynomial algorithm O(n2+ln D) which can find, in a distributed manner, an allocation profile that is within a constant factor of the optimal allocation, and hence of any pure-strategy Nash equilibrium of the game, where the parameters n, and D denote, respectively, the number of players, and the diameter of the network. We further show that when the underlying network has a tree structure, every globally optimal allocation is a Nash equilibrium, which can be reached in only linear time.
AbstractList We consider in this paper a simple model for human interactions as service providers of different resources over social networks, and study the dynamics of selfish behavior of such social entities using a game-theoretic model known as binary-preference capacitated selfish replication (CSR) game. It is known that such games have an associated ordinal potential function, and hence always admit a pure-strategy Nash equilibrium (NE). We study the price of anarchy of such games, and show that it is bounded above by 3; we further provide some instances for which the price of anarchy is at least 2. We also devise a quasi-polynomial algorithm O(n2+ln D) which can find, in a distributed manner, an allocation profile that is within a constant factor of the optimal allocation, and hence of any pure-strategy Nash equilibrium of the game, where the parameters n, and D denote, respectively, the number of players, and the diameter of the network. We further show that when the underlying network has a tree structure, every globally optimal allocation is a Nash equilibrium, which can be reached in only linear time.
Author Basar, Tamer
Etesami, Seyed Rasoul
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  givenname: Seyed Rasoul
  surname: Etesami
  fullname: Etesami, Seyed Rasoul
  email: etesami1@illinois.edu
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  givenname: Tamer
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  fullname: Basar, Tamer
  email: basar1@illinois.edu
  organization: Coordinated Sci. Lab., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
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Snippet We consider in this paper a simple model for human interactions as service providers of different resources over social networks, and study the dynamics of...
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StartPage 3568
SubjectTerms Capacitated selfish replication game
Context
Economics
Games
Nash equilibrium
optimal allocation
potential function
price of anarchy
pure Nash equilibrium (NE)
quasi-polynomial algorithm
Resource management
Social network services
Title An approximation algorithm and price of anarchy for the binary-preference capacitated selfish replication game
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