### Abstract

When several agents learn concurrently, the payoff received by an agent is dependent on the behavior of the other agents. As the other agents learn, the reward of one agent becomes non-stationary. This makes learning in multiagent systems more difficult than single-agent learning. A few methods, however, are known to guarantee convergence to equilibrium in the limit in such systems. In this paper we experimentally study one such technique, the minimax-Q, in a competitive domain and prove its equivalence with another well-known method for competitive domains. We study the rate of convergence of minimax-Q and investigate possible ways for increasing the same. We also present a variant of the algorithm, minimax-SARSA, and prove its convergence to minimax-Q values under appropriate conditions. Finally we show that this new algorithm performs better than simple minimax-Q in a general-sum domain as well.

Original language | English |
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Pages (from-to) | 825-830 |

Number of pages | 6 |

Journal | IJCAI International Joint Conference on Artificial Intelligence |

State | Published - 1 Dec 2001 |

Event | 17th International Joint Conference on Artificial Intelligence, IJCAI 2001 - Seattle, WA, United States Duration: 4 Aug 2001 → 10 Aug 2001 |

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### Cite this

*IJCAI International Joint Conference on Artificial Intelligence*, 825-830.

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*IJCAI International Joint Conference on Artificial Intelligence*, pp. 825-830.

**Fast concurrent reinforcement learners.** / Banerjee, Bikramjit; Sen, Sandip; Peng, Jing.

Research output: Contribution to journal › Conference article

TY - JOUR

T1 - Fast concurrent reinforcement learners

AU - Banerjee, Bikramjit

AU - Sen, Sandip

AU - Peng, Jing

PY - 2001/12/1

Y1 - 2001/12/1

N2 - When several agents learn concurrently, the payoff received by an agent is dependent on the behavior of the other agents. As the other agents learn, the reward of one agent becomes non-stationary. This makes learning in multiagent systems more difficult than single-agent learning. A few methods, however, are known to guarantee convergence to equilibrium in the limit in such systems. In this paper we experimentally study one such technique, the minimax-Q, in a competitive domain and prove its equivalence with another well-known method for competitive domains. We study the rate of convergence of minimax-Q and investigate possible ways for increasing the same. We also present a variant of the algorithm, minimax-SARSA, and prove its convergence to minimax-Q values under appropriate conditions. Finally we show that this new algorithm performs better than simple minimax-Q in a general-sum domain as well.

AB - When several agents learn concurrently, the payoff received by an agent is dependent on the behavior of the other agents. As the other agents learn, the reward of one agent becomes non-stationary. This makes learning in multiagent systems more difficult than single-agent learning. A few methods, however, are known to guarantee convergence to equilibrium in the limit in such systems. In this paper we experimentally study one such technique, the minimax-Q, in a competitive domain and prove its equivalence with another well-known method for competitive domains. We study the rate of convergence of minimax-Q and investigate possible ways for increasing the same. We also present a variant of the algorithm, minimax-SARSA, and prove its convergence to minimax-Q values under appropriate conditions. Finally we show that this new algorithm performs better than simple minimax-Q in a general-sum domain as well.

UR - http://www.scopus.com/inward/record.url?scp=84880876200&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84880876200

SP - 825

EP - 830

JO - IJCAI International Joint Conference on Artificial Intelligence

JF - IJCAI International Joint Conference on Artificial Intelligence

SN - 1045-0823

ER -