toggle visibility Search & Display Options

Select All    Deselect All
 |   | 
Details
   print
  Records Links
Author Hochart, A. doi  openurl
  Title Unique Ergodicity of Deterministic Zero-Sum Differential Games Type
  Year 2021 Publication Dynamic Games And Applications Abbreviated Journal Dyn. Games Appl.  
  Volume 11 Issue (up) Pages 109-136  
  Keywords Differential games; Hamilton-Jacobi equations; Viscosity solutions; Ergodicity; Limit value  
  Abstract We study the ergodicity of deterministic two-person zero-sum differential games. This property is defined by the uniform convergence to a constant of either the infinite-horizon discounted value as the discount factor tends to zero, or equivalently, the averaged finite-horizon value as the time goes to infinity. We provide necessary and sufficient conditions for the unique ergodicity of a game. This notion extends the classical one for dynamical systems, namely when ergodicity holds with any (suitable) perturbation of the running payoff function. Our main condition is symmetric between the two players and involve dominions, i.e., subsets of states that one player can make approximately invariant.  
  Address [Hochart, Antoine] Univ Adolfo Ibanez, Fac Ingn & Ciencia, Diagonal Las Torres 2640, Santiago, Chile, Email: antoine.hochart@gmail.com  
  Corporate Author Thesis  
  Publisher Springer Birkhauser Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2153-0785 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000527444200001 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 1148  
Permanent link to this record
 

 
Author Barrera, J.; Ycart, B. pdf  url
openurl 
  Title Bounds for left and right window cutoffs Type
  Year 2014 Publication Alea-Latin American Journal Of Probability And Mathematical Statistics Abbreviated Journal ALEA-Latin Am. J. Probab. Math. Stat.  
  Volume 11 Issue (up) 2 Pages 445-458  
  Keywords cutoff; exponential ergodicity  
  Abstract The location and width of the time window in which a sequence of processes converges to equilibrum are given under conditions of exponential convergence. The location depends on the side: the left-window and right-window cutoffs may have different locations. Bounds on the distance to equilibrium are given for both sides. Examples prove that the bounds are tight.  
  Address [Barrera, Javiera] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Santiago, Chile, Email: javiera.barrera@uai.cl;  
  Corporate Author Thesis  
  Publisher Impa Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1980-0436 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000209555300005 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 568  
Permanent link to this record
Select All    Deselect All
 |   | 
Details
   print

Save Citations:
Export Records: