Title
Tolling for Constraint Satisfaction in Markov Decision Process Congestion Games.
Abstract
Markov decision process (MDP) congestion game is an extension of classic congestion games, where a continuous population of selfish agents solves Markov decision processes with congestion: the payoff of a strategy decreases as more population uses it. We draw parallels between key concepts from capacitated congestion games and MDP. In particular, we show that population mass constraints in MDP congestion games are equivalent to imposing tolls/incentives on the reward function, which can be utilized by social planners to achieve auxiliary objectives. We demonstrate such methods in a simulated Seattle ride-share model, where tolls and incentives are enforced for two separate objectives: to guarantee minimum driver density in downtown Seattle, and to shift the game equilibrium towards a maximum social output.
Year
Venue
Field
2019
ACC
Population,Constraint satisfaction,Mathematical optimization,Congestion game,Parallels,Incentive,Downtown,Markov decision process,Mathematics,Stochastic game
DocType
Volume
Citations 
Journal
abs/1903.00747
0
PageRank 
References 
Authors
0.34
5
5
Name
Order
Citations
PageRank
Sarah H. Q. Li100.34
Yue Yu200.34
Daniel J. Calderone300.34
Lillian J. Ratliff48723.32
Behçet Açikmese54115.88