---
_id: '3851'
abstract:
- lang: eng
  text: 'Energy parity games are infinite two-player turn-based games played on weighted
    graphs. The objective of the game combines a (qualitative) parity condition with
    the (quantitative) requirement that the sum of the weights (i.e., the level of
    energy in the game) must remain positive. Beside their own interest in the design
    and synthesis of resource-constrained omega-regular specifications, energy parity
    games provide one of the simplest model of games with combined qualitative and
    quantitative objective. Our main results are as follows: (a) exponential memory
    is sufficient and may be necessary for winning strategies in energy parity games;
    (b) the problem of deciding the winner in energy parity games can be solved in
    NP ∩ coNP; and (c) we give an algorithm to solve energy parity by reduction to
    energy games. We also show that the problem of deciding the winner in energy parity
    games is polynomially equivalent to the problem of deciding the winner in mean-payoff
    parity games, which can thus be solved in NP ∩ coNP. As a consequence we also
    obtain a conceptually simple algorithm to solve mean-payoff parity games.'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Laurent
  full_name: Doyen, Laurent
  last_name: Doyen
citation:
  ama: 'Chatterjee K, Doyen L. Energy parity games. In: Vol 6199. Springer; 2010:599-610.
    doi:<a href="https://doi.org/10.1007/978-3-642-14162-1_50">10.1007/978-3-642-14162-1_50</a>'
  apa: 'Chatterjee, K., &#38; Doyen, L. (2010). Energy parity games (Vol. 6199, pp.
    599–610). Presented at the ICALP: Automata, Languages and Programming, Bordeaux,
    France: Springer. <a href="https://doi.org/10.1007/978-3-642-14162-1_50">https://doi.org/10.1007/978-3-642-14162-1_50</a>'
  chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Energy Parity Games,” 6199:599–610.
    Springer, 2010. <a href="https://doi.org/10.1007/978-3-642-14162-1_50">https://doi.org/10.1007/978-3-642-14162-1_50</a>.
  ieee: 'K. Chatterjee and L. Doyen, “Energy parity games,” presented at the ICALP:
    Automata, Languages and Programming, Bordeaux, France, 2010, vol. 6199, pp. 599–610.'
  ista: 'Chatterjee K, Doyen L. 2010. Energy parity games. ICALP: Automata, Languages
    and Programming, LNCS, vol. 6199, 599–610.'
  mla: Chatterjee, Krishnendu, and Laurent Doyen. <i>Energy Parity Games</i>. Vol.
    6199, Springer, 2010, pp. 599–610, doi:<a href="https://doi.org/10.1007/978-3-642-14162-1_50">10.1007/978-3-642-14162-1_50</a>.
  short: K. Chatterjee, L. Doyen, in:, Springer, 2010, pp. 599–610.
conference:
  end_date: 2010-07-10
  location: Bordeaux, France
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2010-07-06
corr_author: '1'
date_created: 2018-12-11T12:05:31Z
date_published: 2010-09-10T00:00:00Z
date_updated: 2025-09-30T08:02:20Z
day: '10'
department:
- _id: KrCh
doi: 10.1007/978-3-642-14162-1_50
external_id:
  arxiv:
  - '1001.5183'
intvolume: '      6199'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1001.5183
month: '09'
oa: 1
oa_version: Preprint
page: 599 - 610
publication_status: published
publisher: Springer
publist_id: '2330'
quality_controlled: '1'
related_material:
  record:
  - id: '2972'
    relation: later_version
    status: public
scopus_import: '1'
status: public
title: Energy parity games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6199
year: '2010'
...