The turnpike property for dynamic discrete time zero-sum games
We consider a class of dynamic discrete-time two-player zero-sum games. We show that for a generic cost function and each initial state, there exists a pair of overtaking equilibria strategies over an infinite horizon. We also establish that for a generic cost function f, there exists a pair of stat...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337599000020 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553384926773248 |
|---|---|
| author | Alexander J. Zaslavski |
| author_facet | Alexander J. Zaslavski |
| author_sort | Alexander J. Zaslavski |
| collection | DOAJ |
| description | We consider a class of dynamic discrete-time two-player zero-sum games. We show that for a generic cost function and each initial state, there exists a pair of overtaking equilibria strategies over an infinite horizon. We also establish that for a generic cost function f, there exists a pair of stationary equilibria strategies (xf,yf) such that each pair of “approximate” equilibria strategies spends almost all of its time in a small neighborhood of (xf,yf). |
| format | Article |
| id | doaj-art-2f51cde9bb1d45149e8e09804888f676 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2f51cde9bb1d45149e8e09804888f6762025-02-03T05:54:07ZengWileyAbstract and Applied Analysis1085-33751687-04091999-01-0141214810.1155/S1085337599000020The turnpike property for dynamic discrete time zero-sum gamesAlexander J. Zaslavski0Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, IsraelWe consider a class of dynamic discrete-time two-player zero-sum games. We show that for a generic cost function and each initial state, there exists a pair of overtaking equilibria strategies over an infinite horizon. We also establish that for a generic cost function f, there exists a pair of stationary equilibria strategies (xf,yf) such that each pair of “approximate” equilibria strategies spends almost all of its time in a small neighborhood of (xf,yf).http://dx.doi.org/10.1155/S1085337599000020 |
| spellingShingle | Alexander J. Zaslavski The turnpike property for dynamic discrete time zero-sum games Abstract and Applied Analysis |
| title | The turnpike property for dynamic discrete time zero-sum games |
| title_full | The turnpike property for dynamic discrete time zero-sum games |
| title_fullStr | The turnpike property for dynamic discrete time zero-sum games |
| title_full_unstemmed | The turnpike property for dynamic discrete time zero-sum games |
| title_short | The turnpike property for dynamic discrete time zero-sum games |
| title_sort | turnpike property for dynamic discrete time zero sum games |
| url | http://dx.doi.org/10.1155/S1085337599000020 |
| work_keys_str_mv | AT alexanderjzaslavski theturnpikepropertyfordynamicdiscretetimezerosumgames AT alexanderjzaslavski turnpikepropertyfordynamicdiscretetimezerosumgames |