RO EN
Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game
Authors: Lozovanu Dmitrii, Stefan Pickl
Keywords: Positional game, Two-player zero-sum stochastic game, Average payoff, Pure stationary equilibria
– 0.11 Mb
Keywords: Positional game, Two-player zero-sum stochastic game, Average payoff, Pure stationary equilibria
Abstract
The problem of the existence and determining equilibria in pure stationary strategies for a two-player zero-sum average stochastic positional game is considered. We show that for such a game there exists the value and players may achieve the value by applying pure stationary strategies of choosing the actions in their positions. Based on a constructive proof of these results we propose an algorithmic approach for determining the optimal pure stationary strategies of the players.Dmitrii Lozovanu
Institute of Mathematics and Computer Science,
5 Academiei str., Chisinau, MD−2028, Moldova
E-mail:
Stefan Pickl
Institute for Theoretical Computer Science,
Mathematics and Operations Research,
Universit¨at der Bundeswehr,M¨unchen,
85577 Neubiberg-M¨unchen, Germany,
E-mail:
Institute of Mathematics and Computer Science,
5 Academiei str., Chisinau, MD−2028, Moldova
E-mail:
Stefan Pickl
Institute for Theoretical Computer Science,
Mathematics and Operations Research,
Universit¨at der Bundeswehr,M¨unchen,
85577 Neubiberg-M¨unchen, Germany,
E-mail:
DOI
https://doi.org/10.56415/basm.y2022.i1.p75Fulltext
– 0.11 Mb
Contents
- Continuous Extensions On Euclidean Combinatorial Configurations
- Subordination and superordination for certain analytic functions associated with Ruscheweyh derivative and a new generalised multiplier transformation
- Different Types of Compact Global Attractors for Cocycles with a Noncompact Phase Space of Driving System and the Relationship Between Them
- A New Method for Developing Signature Algorithms on Finite Non-commutative Algebras
- Properties of coverings in lattices of ring topologies
- Equilibria in Pure Strategies for a Two-Player Zero-Sum Average Stochastic Positional Game
- Morita Contexts, Preradicals and Closure Operators in Modules
- A self--similar solution and the tanh--function method for the kinetic Carleman system
