[PDF] Top 20 Stochastic Games with Parity Mean-payoff Objective

... Certificate Parity and Positive-average Stochastic Games In this section we study stochastic games where Max wants to maximize the probability to achieve the objective Par ∧ Avg ... Voir le document complet

... of games rather than µ-calculus then it is completely artificial to limit the numbers ri appearing in (1) to 0 and 1, it would be much more natural to consider the games with any real valued ri (and ... Voir le document complet

... applications, parity games are also especially interesting from a complexity-theoretic point of view because of their intriguing complexity ...deciding parity games in known to be in NP∩coNP ... Voir le document complet

... of stochastic games is the re- sult of Mertens and Neyman [15] showing that the values of mean-payoff games are the limits of the values of discounted ...discounted payoff is ... Voir le document complet

... for mean-payoff Markov decision ...about parity games, we defer examples to the final ...introduce stochastic games in general, we define the notions of value and optimal ... Voir le document complet

... in games ( Hofbauer et ...the payoff of individuals playing this strategy and the mean payoff in the ...resulting mean field provides a good ap- proximation of a more realistic but less ... Voir le document complet

... of games with a bounded payment ...commutes with the product by a positive scalar. Such operators arise in games with no instantaneous payments, and for that reason we shall call them ... Voir le document complet

... Schelling, with variants and ...of Mean Field ...a stochastic control system, the long-time average cost, and the stationary MFG PDEs associated to them, followed by an example of coexistence of ... Voir le document complet

... deal with hard ...MFGs with hard congestion terms in [ 12 ] and to time-dependent MFGs in [ 11 ...MFGs with hard congestion terms in [ 7 ...deal with interaction terms depending on the ... Voir le document complet

... MFG have been introduced by the last two authors in [22, 23, 24] and the field has known a tremendous development in the past ten years. MFG models address differential games involving an infinite number of ... Voir le document complet

... Three other kinds of algorithms for solving SSGs are presented in [Con93]. These algorithms require transformation of the initial SSG into an equivalent stopping SSG and are based on local optimality equations. First ... Voir le document complet

... interested with closed-looped Nash equilibria that we are able to characterize with systems of ...the payoff of the other players, as those quantities only depend on mean field ... Voir le document complet

... 7 Mean field games model of growth and Pareto distribution of salaries ...the mean field games ...competition with and, as a result, an increased ...someone with poor ... Voir le document complet

... discontinuous games, Reny ([8]) intro- duced the notion of better-reply security and showed that any game with compact, convex strategy spaces and payoffs at least quasiconcave in each ? Monteiro ... Voir le document complet

... of games where the players observe neither the states nor the actions played by the other players. Another particular class that is closely related to the model we con- sider is repeated games with ... Voir le document complet

... stopping games, where the pebble reaches either the target or a sink target with probability one, regardless of the players’ ...SSG with (almost) the same values, but it incurs a quadratic blow-up of ... Voir le document complet

... compete with agents outside the coalition. The payoff of an agent depends on the extent of which her own goal was reached using the help of her coalition’s members and the competing ...the payoff ... Voir le document complet

... for stochastic differential games with symmetric interactions and a large number of ...of mean-field interaction, allowing for the derivation of effective equations in the limit of ... Voir le document complet

... integrable. Therefore requiring that (29) holds in the sense of distribution has a sense. Anal- ogously, the condition mD p H(x, Dφ) ∈ L 1 ensures that (30) makes sense, while the condition (∂ t φ ac − hDφ, D p H(x, ... Voir le document complet

... R , θ, q, β), κ], we also have to explain how Eve behaves from [(p, α, − → R , θ, q, β), κ]. She has to provide a vector − → S ∈ P(Q) 2d+2 that describes which states can be reached if β is popped, depending on both the ... Voir le document complet