---
res:
bibo_abstract:
- 'We consider 2-player games played on a finite state space for an infinite number
of rounds. The games are concurrent: in each round, the two players (player 1
and player 2) choose their moves independently and simultaneously; the current
state and the two moves determine the successor state. We study concurrent games
with ω-regular winning conditions specified as parity objectives. We consider
the qualitative analysis problems: the computation of the almost-sure and limit-sure
winning set of states, where player 1 can ensure to win with probability 1 and
with probability arbitrarily close to 1, respectively. In general the almost-sure
and limit-sure winning strategies require both infinite-memory as well as infinite-precision
(to describe probabilities). We study the bounded-rationality problem for qualitative
analysis of concurrent parity games, where the strategy set for player 1 is restricted
to bounded-resource strategies. In terms of precision, strategies can be deterministic,
uniform, finite-precision or infinite-precision; and in terms of memory, strategies
can be memoryless, finite-memory or infinite-memory. We present a precise and
complete characterization of the qualitative winning sets for all combinations
of classes of strategies. In particular, we show that uniform memoryless strategies
are as powerful as finite-precision infinite-memory strategies, and infinite-precision
memoryless strategies are as powerful as infinite-precision finite-memory strategies. We
show that the winning sets can be computed in O(n2d+3) time, where n is the size
of the game structure and 2d is the number of priorities (or colors), and our
algorithms are symbolic. The membership problem of whether a state belongs to
a winning set can be decided in NP ∩ coNP. While this complexity is the same as
for the simpler class of turn-based parity games, where in each state only one
of the two players has a choice of moves, our algorithms,that are obtained by
characterization of the winning sets as μ-calculus formulas, are considerably
more involved than those for turn-based games.@eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Krishnendu
foaf_name: Chatterjee, Krishnendu
foaf_surname: Chatterjee
foaf_workInfoHomepage: http://www.librecat.org/personId=2E5DCA20-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-4561-241X
bibo_doi: 10.15479/AT:IST-2011-0008
dct_date: 2011^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/2664-1690
dct_language: eng
dct_publisher: IST Austria@
dct_title: Bounded rationality in concurrent parity games@
...