Abstract
We introduce the formalism of action investment energy games where we study the trade-off between investments limited by given budgets and resource constrained (energy) behavior of the underlying system. More specifically, we consider energy games extended with costs of enabling actions and fixed budgets for each player. We ask the question whether for any Player 2 investment there exists a Player 1 investment such that Player 1 wins the resulting energy game. We study the action investment energy game for energy intervals with both upper and lower bounds, and with a lower bound only, and give a complexity results overview for the problem of deciding the winner in the game.
Supported by VKR Center of Excellence MT-LAB and the research center IDEA4CPS.
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References
Beneš, N., Křetínský, J., Guldstrand Larsen, K., Møller, M.H., Srba, J.: Dual-Priced Modal Transition Systems with Time Durations. In: Bjørner, N., Voronkov, A. (eds.) LPAR-18 2012. LNCS, vol. 7180, pp. 122–137. Springer, Heidelberg (2012)
Bouyer, P., Fahrenberg, U., Larsen, K.G., Markey, N.: Timed automata with observers under energy constraints. In: HSCC 2010, pp. 61–70 (2010)
Bouyer, P., Fahrenberg, U., Larsen, K.G., Markey, N., Srba, J.: Infinite Runs in Weighted Timed Automata with Energy Constraints. In: Cassez, F., Jard, C. (eds.) FORMATS 2008. LNCS, vol. 5215, pp. 33–47. Springer, Heidelberg (2008)
Chatterjee, K., Doyen, L.: Energy Parity Games. In: Abramsky, S., Gavoille, C., Kirchner, C., Meyer auf der Heide, F., Spirakis, P.G. (eds.) ICALP 2010. LNCS, vol. 6199, pp. 599–610. Springer, Heidelberg (2010)
Chatterjee, K., Doyen, L.: Energy and Mean-Payoff Parity Markov Decision Processes. In: Murlak, F., Sankowski, P. (eds.) MFCS 2011. LNCS, vol. 6907, pp. 206–218. Springer, Heidelberg (2011)
Chatterjee, K., Doyen, L., Henzinger, T.A., Raskin, J.-F.: Generalized mean-payoff and energy games. In: FSTTCS. LIPIcs, vol. 8, pp. 505–516. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2010)
Classen, A., Heymans, P., Schobbens, P.-Y., Legay, A.: Symbolic model checking of software product lines. In: ICSE, pp. 321–330. ACM (2011)
Classen, A., Heymans, P., Schobbens, P.-Y., Legay, A., Raskin, J.-F.: Model checking lots of systems: efficient verification of temporal properties in software product lines. In: ICSE (1), pp. 335–344. ACM (2010)
Degorre, A., Doyen, L., Gentilini, R., Raskin, J.-F., Toruńczyk, S.: Energy and Mean-Payoff Games with Imperfect Information. In: Dawar, A., Veith, H. (eds.) CSL 2010. LNCS, vol. 6247, pp. 260–274. Springer, Heidelberg (2010)
Fahrenberg, U., Juhl, L., Larsen, K.G., Srba, J.: Energy Games in Multiweighted Automata. In: Cerone, A., Pihlajasaari, P. (eds.) ICTAC 2011. LNCS, vol. 6916, pp. 95–115. Springer, Heidelberg (2011)
Papadimitriou, C.H.: Computational complexity. Addison-Wesley (1994)
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Larsen, K.G., Laursen, S., Srba, J. (2013). Action Investment Energy Games. In: Kučera, A., Henzinger, T.A., Nešetřil, J., Vojnar, T., Antoš, D. (eds) Mathematical and Engineering Methods in Computer Science. MEMICS 2012. Lecture Notes in Computer Science, vol 7721. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36046-6_15
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DOI: https://doi.org/10.1007/978-3-642-36046-6_15
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