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Doomsday equilibria for omegaregular games
 CoRR
"... Abstract. Twoplayer games on graphs provide the theoretical framework for many important problems such as reactive synthesis. While the traditional study of twoplayer zerosum games has been extended to multiplayer games with several notions of equilibria, they are decidable only for perfectinf ..."
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Cited by 4 (3 self)
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Abstract. Twoplayer games on graphs provide the theoretical framework for many important problems such as reactive synthesis. While the traditional study of twoplayer zerosum games has been extended to multiplayer games with several notions of equilibria, they are decidable only for perfect
Concurrent OmegaRegular Games
, 2000
"... We consider twoplayer games which are played on a finite state space for an infinite number of rounds. The games are concurrent, that is, in each round, the two players choose their moves independently and simultaneously; the current state and the two moves determine a successor state. We consider ..."
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Cited by 43 (12 self)
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We consider twoplayer games which are played on a finite state space for an infinite number of rounds. The games are concurrent, that is, in each round, the two players choose their moves independently and simultaneously; the current state and the two moves determine a successor state. We consider
TWOPLAYER NONZERO–SUM STOPPING GAMES IN DISCRETE TIME
, 2004
"... We prove that every twoplayer nonzero–sum stopping game in discrete time admits an εequilibrium in randomized strategies for every ε> 0. We use a stochastic variation of Ramsey’s theorem, which enables us to reduce the problem to that of studying properties of εequilibria in a simple class of ..."
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We prove that every twoplayer nonzero–sum stopping game in discrete time admits an εequilibrium in randomized strategies for every ε> 0. We use a stochastic variation of Ramsey’s theorem, which enables us to reduce the problem to that of studying properties of εequilibria in a simple class
Uncoupling Isaacs’ equations in nonzerosum twoplayer differential games  The example of . . .
, 2007
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Quantitative Solution of OmegaRegular Games
"... We consider twoplayer games played for an infinite number of rounds, with ωregular winning conditions. The games may be concurrent, in that the players choose their moves simultaneously and independently, and probabilistic, in that the moves determine a probability distribution for the successor s ..."
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Cited by 62 (18 self)
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We consider twoplayer games played for an infinite number of rounds, with ωregular winning conditions. The games may be concurrent, in that the players choose their moves simultaneously and independently, and probabilistic, in that the moves determine a probability distribution for the successor
TWOPLAYER NONZEROSUM GAMES: A REDUCTION
"... In this chapter, we focus on finite twoplayer nonzerosum stochastic games. Following the notations used in earlier chapters, we let S be the state space, and A and B be the action sets of players 1 and 2 respectively. All three sets S,A and B are finite. Generic elements of S, A and B will be de ..."
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In this chapter, we focus on finite twoplayer nonzerosum stochastic games. Following the notations used in earlier chapters, we let S be the state space, and A and B be the action sets of players 1 and 2 respectively. All three sets S,A and B are finite. Generic elements of S, A and B will be de
Asymptotic εNash Equilibrium for 2 nd Order TwoPlayer Nonzerosum Singular LQ Games with Decentralized Control
"... Abstract: We propose a new equilibrium concept: asymptotic εNash equilibrium for 2 nd order twoplayer nonzerosum games where each player has a controlfree cost functional quadratic in the system states over an infinite horizon and each player’s control strategy is constrained to be continuous li ..."
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Abstract: We propose a new equilibrium concept: asymptotic εNash equilibrium for 2 nd order twoplayer nonzerosum games where each player has a controlfree cost functional quadratic in the system states over an infinite horizon and each player’s control strategy is constrained to be continuous
Leontief Economies Encode Nonzero Sum TwoPlayer Games
"... We consider Leontief exchange economies, i.e., economies where the consumers desire goods in fixed proportions. Unlike bimatrix games, such economies are not guaranteed to have equilibria in general. On the other hand, they include suitable restricted versions which always have equilibria. We give a ..."
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Cited by 37 (4 self)
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hurdle inherent in solving certain families of market equilibrium problems: finding an equilibrium for Leontief economies (where an equilibrium is guaranteed to exist) is at least as hard as finding a Nash equilibrium for twoplayer nonzero sum
Results 1  10
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18,537