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  • 1
    Electronic Resource
    Electronic Resource
    Stability and largeness of core for symmetric games (2000)
    Springer
    International journal of game theory 29 (2000), S. 11-22 
    Details
    ISSN: 1432-1270
    Keywords: Key words: Symmetric game, stable core, lower boundary, specified vectors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract. Largeness of the core is sufficient for stability of the core. In general the necessity is not known. In this paper we answer affirmatively the necessity for symmetric games. We also prove its equivalence to n specified vectors being imputations and also to the convexity of the lower boundary of the set of all acceptable pay-off vectors of the game. In this paper we establish the equivalence of a condition given by Shapley to the newly evolved condition, thereby give an alternate proof to Shapley’s condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001820050002
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  • 2
    Electronic Resource
    Electronic Resource
    Evolution of Dynamical Coupling in Scalar Tensor Theory from Noether Symmetry (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 1615-1626 
    Details
    ISSN: 1572-9532
    Keywords: Brans–Dicke theory ; cosmology
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present the gravitational coupling function ω(φ) in the vacuum scalar-tensor theory as allowed by the Noether symmetry. We also obtain some exact cosmological solutions in the spatially homogeneous and isotropic background thereby showing that the attractor mechanism is not effective enough to reduce the theory to Einstein theory. It is observed that, asymptotically, the scalar tensor theory goes over to Einstein theory with a finite value of ω. This work thus supports earlier works in this direction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001990303511
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