Computer Science – Computer Science and Game Theory
Scientific paper
2012-02-03
Computer Science
Computer Science and Game Theory
Preliminary version, submitted to CAV 2012
Scientific paper
We introduce consumption games, a model for discrete interactive system with multiple resources that are consumed or reloaded independently. More precisely, a consumption game is a finite-state graph where each transition is labeled by a vector of resource updates, where every update is a non-positive number or omega. The omega updates model the reloading of a given resource. Each vertex belongs either to player \Box or player \Diamond, where the aim of player \Box is to play so that the resources are never exhausted. We consider several natural algorithmic problems about consumption games, and show that although these problems are computationally hard in general, they are solvable in polynomial time for every fixed number of resource types (i.e., the dimension of the update vectors).
Brázdil Tomáš
Chatterjee Krishnendu
Kučera Antonín
Novotný Petr
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