Abstract
This paper shows that domain-independent tools from classical planning can be used to model and solve a broad class of game-theoretic problems we call Cost-Adversarial Planning Games (CAPGs). We define CAPGs as 2-player normal-form games specified by a planning task and a finite collection of cost functions. The first player (a planning agent) strives to solve a planning task optimally but has limited knowledge about its action costs. The second player (an adversary agent) controls the actual action costs. Even though CAPGs need not be zero-sum, every CAPG has an associated zero-sum game whose Nash equilibrium provides the optimal randomized strategy for the planning agent in the original CAPG. We show how to find the Nash equilibrium of the associated zero-sum game using a cost-optimal planner via the Double Oracle algorithm. To demonstrate the expressivity of CAPGs, we formalize a patrolling security game and several IPC domains as CAPGs.
Original language | English |
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Title of host publication | Proceedings of the 32nd International Conference on Automated Planning and Scheduling, ICAPS 2022 |
Editors | Akshat Kumar, Sylvie Thiebaux, Pradeep Varakantham, William Yeoh |
Number of pages | 9 |
Volume | 32 |
Publisher | AAAI Press |
Publication date | 13 Jun 2022 |
Pages | 160-168 |
ISBN (Electronic) | 9781577358749 |
DOIs | |
Publication status | Published - 13 Jun 2022 |
Event | The 32nd International Conference on Automated Planning and Scheduling - Virtual, Singapore, Singapore Duration: 13 Jun 2022 → 24 Jun 2022 |
Conference
Conference | The 32nd International Conference on Automated Planning and Scheduling |
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Location | Virtual |
Country/Territory | Singapore |
City | Singapore |
Period | 13/06/2022 → 24/06/2022 |