Dynamic Games and Applications

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Short-Time Existence for a General Backward–Forward Parabolic System Arising from Mean-Field Games
Dynamic Games and Applications - - 2020
Marco Cirant, Roberto Gianni, Paola Mannucci
Chasing a Drunk Robber in Many Classes of Graphs
Dynamic Games and Applications - - 2022
Nuttanon Songsuwan, Dawud Thongtha, Pawaton Kaemawichanurat
AbstractA cops and robbers game (CR) on graphs was originated in 1983 by Quilliot and by Nowakowski and Winkler independently. This game has been applied in many problems in the area of theoretical computer science such as information seeking, robot motion planning or network security as evidenced by many conferences and publications. The CR game has also been exte...... hiện toàn bộ
Cournot Maps for Intercepting Evader Evolutions by a Pursuer
Dynamic Games and Applications - Tập 5 - Trang 275-296 - 2015
Jean-Pierre Aubin, Chen Luxi, Anya Désilles
Instead of studying evolutions governed by an evolutionary system starting at a given initial state on a prescribed future time interval, finite or infinite, we tackle the problem of looking both for a past interval $$[T-D,T]$$ ...... hiện toàn bộ
Conditions for Cooperation to be More Abundant than Defection in a Hierarchically Structured Population
Dynamic Games and Applications - Tập 5 - Trang 239-262 - 2014
Dhaker Kroumi, Sabin Lessard
We study conditions for weak selection to favor tit-for-tat (TFT) over AllD in a repeated Prisoner’s Dilemma game played in a finite population subdivided into three subpopulations under the assumption of cyclic dominance in asymmetric interactions. Assuming parent-independent mutation and uniform migration, we show that TFT is more abundant that AllD in the stationary state if the defection cost ...... hiện toàn bộ
Robust Networked Multiagent Optimization: Designing Agents to Repair Their Own Utility Functions
Dynamic Games and Applications - Tập 13 - Trang 187-207 - 2022
Philip N. Brown, Joshua H. Seaton, Jason R. Marden
We study settings in which autonomous agents are designed to optimize a given system-level objective. In typical approaches to this problem, each agent is endowed with a decision-making rule that specifies the agent’s choice as a function of relevant information pertaining to the system’s state. The choices of other agents in the system comprise a key component of this information. This paper cons...... hiện toàn bộ
Price Discrimination Based on Buyers’ Purchase History
Dynamic Games and Applications - Tập 7 - Trang 229-265 - 2016
Arieh Gavious, Ella Segev
We consider a repeated sales situation in which a seller sells one unit of a good each period to the same buyer. Having incomplete information about the buyer’s valuation, the seller responds to the buyer’s behavior, meaning, whether she bought previous units and at what price. We characterize the equilibrium of the no-commitment game for a uniform distribution and show that the seller discriminat...... hiện toàn bộ
On Dynamic Games with Randomly Arriving Players
Dynamic Games and Applications - Tập 7 - Trang 360-385 - 2016
Pierre Bernhard, Marc Deschamps
We consider a dynamic game where additional players (assumed identical, even if there will be a mild departure from that hypothesis) join the game randomly according to a Bernoulli process. The problem solved here is that of computing their expected payoff as a function of time and the number of players present when they arrive, if the strategies are given. We consider both a finite horizon game a...... hiện toàn bộ
Congested Traffic Equilibria and Degenerate Anisotropic PDEs
Dynamic Games and Applications - Tập 3 - Trang 508-522 - 2013
L. Brasco, G. Carlier
Congested traffic problems on very dense networks lead, at the limit, to minimization problems posed on measures on curves as shown in Baillon and Carlier (Netw. Heterog. Media 7:219–241, 2012). Here, we go one step further by showing that these problems can be reformulated in terms of the minimization of an integral functional over a set of vector fields with prescribed divergence as in Beckmann ...... hiện toàn bộ
The Environmental Responsibility of Firms and Insurance Coverage in an Evolutionary Game
Dynamic Games and Applications - Tập 13 - Trang 801-818 - 2022
Ilaria Colivicchi, Gianluca Iannucci
Climate change can deeply impact a company’s business performance, therefore insurance is an important tool to mediate such a risk, helping firms to remain on the market. Polluting companies want to maximize profits according to different business strategies and that appeal to their risk attitude. Firms are Nash players in an oligopoly market adopting two production technologies, brown or green. C...... hiện toàn bộ
Approachability in Stackelberg Stochastic Games with Vector Costs
Dynamic Games and Applications - Tập 7 - Trang 422-442 - 2016
Dileep Kalathil, Vivek S. Borkar, Rahul Jain
The notion of approachability was introduced by Blackwell (Pac J Math 6(1):1–8, 1956) in the context of vector-valued repeated games. The famous ‘Blackwell’s approachability theorem’ prescribes a strategy for approachability, i.e., for ‘steering’ the average vector cost of a given agent toward a given target set, irrespective of the strategies of the other agents. In this paper, motivated by the m...... hiện toàn bộ
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