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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 19 / Book One

Searching for Stable Mechanisms: Automated Design for Imperfect Players

February 1, 2023

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Authors

Andrew J. Blumberg and Abhi Shelat

DOI:


Abstract:

RecentlyConitzer and Sandholm introduced the concept of "automated mechanism design", whereby mechanism design problems are solved using constraint-satisfaction methods. Traditionally, mechanism design has focused on producing games which yield the desired outcomes when played by ideal rational players. However actual players are never perfectly rational --- human irrationality has been exhaustively studied and computational agents have both resource bounds and potentially implementation flaws. In this paper, we discuss extensions of the techniques of automated mechanism design to produce games which are robust in the face of player imperfections. We model limited rationality by examining agents which converge on their strategy by using a simple variant of "fictitious play" (simulation of repeated play). This model associates to each game a system of differential equations describing the trajectory of the agent’s strategies. We describe additional constraints which guarantee that automated mechanism design search problems yield stable mechanisms. In particular, we present negative results for structural stability and positive results for asymptotic stability by considering strict Bayesian-Nash equilibria and by employing Lyapunov techniques.

Topics: AAAI

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Andrew J. Blumberg and Abhi Shelat Searching for Stable Mechanisms: Automated Design for Imperfect Players Proceedings of the AAAI Conference on Artificial Intelligence, 19 (2004) 8.

Andrew J. Blumberg and Abhi Shelat Searching for Stable Mechanisms: Automated Design for Imperfect Players AAAI 2004, 8.

Andrew J. Blumberg and Abhi Shelat (2004). Searching for Stable Mechanisms: Automated Design for Imperfect Players. Proceedings of the AAAI Conference on Artificial Intelligence, 19, 8.

Andrew J. Blumberg and Abhi Shelat. Searching for Stable Mechanisms: Automated Design for Imperfect Players. Proceedings of the AAAI Conference on Artificial Intelligence, 19 2004 p.8.

Andrew J. Blumberg and Abhi Shelat. 2004. Searching for Stable Mechanisms: Automated Design for Imperfect Players. "Proceedings of the AAAI Conference on Artificial Intelligence, 19". 8.

Andrew J. Blumberg and Abhi Shelat. (2004) "Searching for Stable Mechanisms: Automated Design for Imperfect Players", Proceedings of the AAAI Conference on Artificial Intelligence, 19, p.8

Andrew J. Blumberg and Abhi Shelat, "Searching for Stable Mechanisms: Automated Design for Imperfect Players", AAAI, p.8, 2004.

Andrew J. Blumberg and Abhi Shelat. "Searching for Stable Mechanisms: Automated Design for Imperfect Players". Proceedings of the AAAI Conference on Artificial Intelligence, 19, 2004, p.8.

Andrew J. Blumberg and Abhi Shelat. "Searching for Stable Mechanisms: Automated Design for Imperfect Players". Proceedings of the AAAI Conference on Artificial Intelligence, 19, (2004): 8.

Andrew J. Blumberg and Abhi Shelat. Searching for Stable Mechanisms: Automated Design for Imperfect Players. AAAI[Internet]. 2004[cited 2023]; 8.


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