Convergence of Best-Response Dynamics in Games with Conflicting Congestion Effects
نویسندگان
چکیده
We study the model of resource allocation games with conflicting congestion effects that was introduced by Feldman and Tamir (2012). In this model, an agent’s cost consists of its resource’s load (which increases with congestion) and its share in the resource’s activation cost (which decreases with congestion). The current work studies the convergence rate of best-response dynamics (BRD) in the case of homogeneous agents. Even within this simple setting, interesting phenomena arise. We show that, in contrast to standard congestion games with identical jobs and resources, the convergence rate of BRD under conflicting congestion effects might be super-linear in the number of jobs. Nevertheless, a specific form of BRD is proposed, which is guaranteed to converge in linear time.
منابع مشابه
On the Convergence Time of the Best Response Dynamics in Player-specific Congestion Games
We study the convergence time of the best response dynamics in player-specific singleton congestion games. It is well known that this dynamics can cycle, although from every state a short sequence of best responses to a Nash equilibrium exists. Thus, the random best response dynamics, which selects the next player to play a best response uniformly at random, terminates in a Nash equilibrium wit...
متن کاملApproximate Best-Response Dynamics in Random Interference Games
In this paper we develop a novel approach to the convergence of Best-Response Dynamics for the family of interference games. Interference games represent the fundamental resource allocation conflict between users of the radio spectrum. In contrast to congestion games, interference games are generally not potential games. Therefore, proving the convergence of the best-response dynamics to a Nash...
متن کاملAltruism in Congestion Games
This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination of personal delay of a strategy and the resulting increase in social cost. Our model can be embedded in the framework of congestion games with player-specif...
متن کاملConflicting Congestion Effects in Resource Allocation Games
We consider resource allocation games with heterogeneous users and identical resources. Most of the previous work considered cost structures with either negative or positive congestion effects. We study a cost structure that encompasses both the resource’s load and the job’s share in the resource’s activation cost. We consider the proportional sharing rule, where the resource’s activation cost ...
متن کاملTechnical supplement to “Population Games and Deterministic Evolutionary Dynamics”
After 3.3: Ordinary differential equations . . . . . . . . . . . . . . . . . . . . . . 2 Before 5.1.3: Extinction and invariance under imitative dynamics . . . . . . . . . 3 With 5.1.3: Monotone percentage growth rates and positive correlation . . . . . . 3 With 5.1.3: Rest points and restricted equilibria . . . . . . . . . . . . . . . . . . . . 5 With 5.2.2: Construction of solutions of the be...
متن کامل