Game Dynamics for Players with Social and Material Preferences
We consider the dynamics, existence and stability of the equilibrium states for large populations of individuals who can play various types of non--cooperative games. The players imitate the most attractive strategies, and the choice is motivated not only by the material payoffs of the strategies, b...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Journal Article |
| Language: | English |
| Published: |
30-03-2012
|
| Subjects: | |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | We consider the dynamics, existence and stability of the equilibrium states
for large populations of individuals who can play various types of
non--cooperative games. The players imitate the most attractive strategies, and
the choice is motivated not only by the material payoffs of the strategies, but
also by their popularity in the population. The parameter which determines the
weights of both factors in the equilibrium states has the same analytical form
for all types of considered games, and is identified with the sensitivity to
reinforcements parameter in the Hernstein's Matching Law. We prove theorems of
existence and uniqueness, and discuss examples of multiple locally stable
polymorphic equilibria for the considered types of games. |
|---|---|
| AbstractList | We consider the dynamics, existence and stability of the equilibrium states
for large populations of individuals who can play various types of
non--cooperative games. The players imitate the most attractive strategies, and
the choice is motivated not only by the material payoffs of the strategies, but
also by their popularity in the population. The parameter which determines the
weights of both factors in the equilibrium states has the same analytical form
for all types of considered games, and is identified with the sensitivity to
reinforcements parameter in the Hernstein's Matching Law. We prove theorems of
existence and uniqueness, and discuss examples of multiple locally stable
polymorphic equilibria for the considered types of games. |
| Author | Platkowski, Tadeusz Zakrzewski, Jan |
| Author_xml | – sequence: 1 givenname: Tadeusz surname: Platkowski fullname: Platkowski, Tadeusz – sequence: 2 givenname: Jan surname: Zakrzewski fullname: Zakrzewski, Jan |
| BackLink | https://doi.org/10.48550/arXiv.1203.6749$$DView paper in arXiv |
| BookMark | eNotj7FOwzAURT3AAKU7E_IPJLXjZ7tekFCBgtSqldo9enGfhaXEQU4F5O-rANPRXY7uuWVXqU_E2L0UJSy1FgvMP_GrlJVQpbHgbtjjGjviz2PCLvqBhz7zfYsj5YF_x_MHP_Q-YssxnfgWz5Snsc8UKFPyNNyx64DtQPN_ztjx9eW4eis2u_X76mlToNGuAJCVcU43xoMEqKwG7Zx1WigRLISApLCxjSCrAxAKC2bprfROeXOqGjVjD3_a3__1Z44d5rGeOuqpQ10A6DlDDg |
| ContentType | Journal Article |
| Copyright | http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| Copyright_xml | – notice: http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| DBID | AKY GOX |
| DOI | 10.48550/arxiv.1203.6749 |
| DatabaseName | arXiv Computer Science arXiv.org |
| DatabaseTitleList | |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository |
| DeliveryMethod | fulltext_linktorsrc |
| ExternalDocumentID | 1203_6749 |
| GroupedDBID | AKY GOX |
| ID | FETCH-LOGICAL-a659-44126995b6c41442754599795030f74ffae3ab7b0e75f4ea07468c71c93c6d2b3 |
| IEDL.DBID | GOX |
| IngestDate | Mon Jan 08 05:43:22 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a659-44126995b6c41442754599795030f74ffae3ab7b0e75f4ea07468c71c93c6d2b3 |
| OpenAccessLink | https://arxiv.org/abs/1203.6749 |
| ParticipantIDs | arxiv_primary_1203_6749 |
| PublicationCentury | 2000 |
| PublicationDate | 2012-03-30 |
| PublicationDateYYYYMMDD | 2012-03-30 |
| PublicationDate_xml | – month: 03 year: 2012 text: 2012-03-30 day: 30 |
| PublicationDecade | 2010 |
| PublicationYear | 2012 |
| Score | 1.5160482 |
| SecondaryResourceType | preprint |
| Snippet | We consider the dynamics, existence and stability of the equilibrium states
for large populations of individuals who can play various types of
non--cooperative... |
| SourceID | arxiv |
| SourceType | Open Access Repository |
| SubjectTerms | Computer Science - Computer Science and Game Theory Physics - Adaptation and Self-Organizing Systems |
| Title | Game Dynamics for Players with Social and Material Preferences |
| URI | https://arxiv.org/abs/1203.6749 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV07TwQhEJ64V9kYje8nhS26vBZoTIz3atRLvOK6DSyQmKgxt3fGny8s68XGlkfBwGS-Ab5vAK5NGRyxVmEViMKceYktZzwCOUOotcwRltjI0xf5tFDDUZLJufrlwpjl9-tX1ge27S2hJbupJNcFFJSmH1uT50V-bOyUuPrhm2ERYXYtf0LEeBd2emyH7vNm7MGW_9iHu4l592iYC7-3KGJENHszCeiidAeKMj8WxYQePZpVdx7QbFP8oz2A-Xg0f5jivmgBNpXQOKILWmktbNXwmKtQGRGK1lKL6ExB8hCMZ8ZKW3opAvcmlftQjSSNZk3lqGWHMIh5vz8GxKjzTfQ_KhyNE5V2ugxCWSNkSI5zAkfdYuvPrEtRJzPUyQyn__acwXaM-LQj1ZXnMFgt1_4CitatLzvb_gCutnZe |
| link.rule.ids | 228,230,782,887 |
| linkProvider | Cornell University |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Game+Dynamics+for+Players+with+Social+and+Material+Preferences&rft.au=Platkowski%2C+Tadeusz&rft.au=Zakrzewski%2C+Jan&rft.date=2012-03-30&rft_id=info:doi/10.48550%2Farxiv.1203.6749&rft.externalDocID=1203_6749 |