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EnglishThis paper studies a repeated minority game with public signals, symmetric bounded recall, and pure strategies. We investigate bothpublic and private equilibria of the game with fixed recall size. We first show how public equilibria in such a repeated game can be represented as colored subgraphs of a de Bruijn graph. Then we prove that the set of public equilibrium payoffs with bounded recall converges to the set of uniform equilibrium payoffs as the size of the recall increases. We also show that private equilibria behave badly: A private equilibrium payoff with bounded recall need not be a uniform equilibrium payoff.
A Minority Game with Bounded Recall / J., Renault; Scarsini, Marco; T., Tomala. - In: MATHEMATICS OF OPERATIONS RESEARCH. - ISSN 0364-765X. - 32:(2007), pp. 873-889. [10.1287/moor.1070.0284]
| Titolo: | A Minority Game with Bounded Recall | |
| Autori: | ||
| Data di pubblicazione: | 2007 | |
| Rivista: | ||
| Citazione: | A Minority Game with Bounded Recall / J., Renault; Scarsini, Marco; T., Tomala. - In: MATHEMATICS OF OPERATIONS RESEARCH. - ISSN 0364-765X. - 32:(2007), pp. 873-889. [10.1287/moor.1070.0284] | |
| Abstract: | This paper studies a repeated minority game with public signals, symmetric bounded recall, and pure strategies. We investigate bothpublic and private equilibria of the game with fixed recall size. We first show how public equilibria in such a repeated game can be represented as colored subgraphs of a de Bruijn graph. Then we prove that the set of public equilibrium payoffs with bounded recall converges to the set of uniform equilibrium payoffs as the size of the recall increases. We also show that private equilibria behave badly: A private equilibrium payoff with bounded recall need not be a uniform equilibrium payoff. | |
| Handle: | http://hdl.handle.net/11385/3158 | |
| Appare nelle tipologie: | 01.1 - Articolo su rivista (Article) |
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