Third edition of Artificial Intelligence: foundations of computational agents, Cambridge University Press, 2023 is now available (including the full text).
10.7 Review
This chapter has touched on some of the issues that arise with multiple agents. The following are the main points to remember:
- A multiagent system consists of multiple agents who can act autonomously and have their own utility over outcomes. The outcomes depend on the actions of all agents. Agents can compete, cooperate, coordinate, communicate, and negotiate.
- The strategic form of a game specifies the expected outcome given controllers for each agent.
- The extensive form of a game models agents' actions and information through time in terms of game trees.
- A multiagent decision network models probabilistic dependency and information availability.
- Perfect information games can be solved by backing up values in game trees or searching the game tree using minimax with α-β pruning.
- In partially observable domains, sometimes it is optimal to act stochastically.
- A Nash equilibrium is a strategy profile for each agent such that no agent can increase its utility by unilaterally deviating from the strategy profile.
- Agents can learn to coordinate by playing the same game repeatedly, but it is difficult to learn a randomized strategy.
- By introducing payments, it is possible to design a mechanism that is dominant-strategy truthful and economically efficient.