Local Interactions and p-Best Response Set
We study a local interaction model where agents play a finite n-person game following a perturbed best-response process with inertia. We consider the concept of minimal p-best response set to analyze distributions of actions on the long run. We distinguish between two assumptions made by agents abou...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/415686 |
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| _version_ | 1832559918444445696 |
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| author | J. Durieu P. Solal |
| author_facet | J. Durieu P. Solal |
| author_sort | J. Durieu |
| collection | DOAJ |
| description | We study a local interaction model where agents play a finite n-person game following a perturbed best-response process with inertia. We consider the concept of minimal p-best response set to analyze distributions of actions on the long run. We distinguish between two assumptions made by agents about the matching rule. We show that only actions contained in the minimal p-best response set can be selected provided that p is sufficiently small. We demonstrate that these predictions are sensitive to the assumptions about the matching rule. |
| format | Article |
| id | doaj-art-98aaa45651d44c00b4a8793abea674e3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-98aaa45651d44c00b4a8793abea674e32025-02-03T01:28:54ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/415686415686Local Interactions and p-Best Response SetJ. Durieu0P. Solal1CREG, Université Pierre-Mendès-France-de Grenoble, 38400 Saint-Martin d’Hères, FranceGATE Lyon-St-Etienne, Université de Saint-Etienne, 42023 Saint-Etienne, FranceWe study a local interaction model where agents play a finite n-person game following a perturbed best-response process with inertia. We consider the concept of minimal p-best response set to analyze distributions of actions on the long run. We distinguish between two assumptions made by agents about the matching rule. We show that only actions contained in the minimal p-best response set can be selected provided that p is sufficiently small. We demonstrate that these predictions are sensitive to the assumptions about the matching rule.http://dx.doi.org/10.1155/2014/415686 |
| spellingShingle | J. Durieu P. Solal Local Interactions and p-Best Response Set Journal of Applied Mathematics |
| title | Local Interactions and p-Best Response Set |
| title_full | Local Interactions and p-Best Response Set |
| title_fullStr | Local Interactions and p-Best Response Set |
| title_full_unstemmed | Local Interactions and p-Best Response Set |
| title_short | Local Interactions and p-Best Response Set |
| title_sort | local interactions and p best response set |
| url | http://dx.doi.org/10.1155/2014/415686 |
| work_keys_str_mv | AT jdurieu localinteractionsandpbestresponseset AT psolal localinteractionsandpbestresponseset |