Modeling adversary scheduling with QCSP+
Proceedings of the 2008 ACM symposium on Applied computing
CSP properties for quantified constraints: definitions and complexity
AAAI'05 Proceedings of the 20th national conference on Artificial intelligence - Volume 1
An algebraic graphical model for decision with uncertainties, feasibilities, and utilities
Journal of Artificial Intelligence Research
QCSP made practical by virtue of restricted quantification
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Extracting certificates from quantified boolean formulas
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Constraint programming for mining n-ary patterns
CP'10 Proceedings of the 16th international conference on Principles and practice of constraint programming
Unordered constraint satisfaction games
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
Consistencies for ultra-weak solutions in minimax weighted CSPs using the duality principle
CP'12 Proceedings of the 18th international conference on Principles and Practice of Constraint Programming
Quantified maximum satisfiability: a core-guided approach
SAT'13 Proceedings of the 16th international conference on Theory and Applications of Satisfiability Testing
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Solutions to valid Quantified Constraint Satisfaction Problems (QCSPs) are called winning strategies and represent possible ways in which the existential player can react to the moves of the universal one to "win the game". However, different winning strategies are not necessarily equivalent: some may be preferred to others. We define Quantified Constraint Optimization Problems (QCOP) as a framework which allows both to formally express preferences over QCSP strategies, and to solve the related optimization problem. We present examples and some experimental results. We also discuss how this framework relates to other formalisms for hierarchical decision modeling known as von Stackelberg games and bilevel (and multilevel) programming.