caa a22 4500 475814363 CHVBK 20180406123806.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1007/s001820050002 doi (NATIONALLICENCE)springer-10.1007/s001820050002 Stability and largeness of core for symmetric games [Elektronische Daten] [Amit K. Biswas, G. Ravindran, T. Parthasarathy] 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. Springer-Verlag Berlin Heidelberg, 2000 Key words: Symmetric game, stable core, lower boundary, specified vectors nationallicence Biswas Amit K. Indian Statistical Institute, 110, Nelson Manickam Road, Aminjikarai, Madras 600029, India (e-mail: amit_biswas@hotmail.com), IN aut Ravindran G. Indian Statistical Institute, 8th Mile Mysore Road, R.V. College Post, Banglore 560059, India (e-mail: ravi@ns.isibang.ac.in), IN aut Parthasarathy T. Indian Statistical Institute, Math - Stat Division, 7, S.J.S. Sansanwal Marg, New Delhi 110016, India (e-mail: tps@isid1.isid.ac.in), IN aut https://doi.org/10.1007/s001820050002 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001820050002 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Biswas Amit K. Indian Statistical Institute, 110, Nelson Manickam Road, Aminjikarai, Madras 600029, India (e-mail: amit_biswas@hotmail.com), IN aut NATIONALLICENCE 700 1- Ravindran G. Indian Statistical Institute, 8th Mile Mysore Road, R.V. College Post, Banglore 560059, India (e-mail: ravi@ns.isibang.ac.in), IN aut NATIONALLICENCE 700 1- Parthasarathy T. Indian Statistical Institute, Math - Stat Division, 7, S.J.S. Sansanwal Marg, New Delhi 110016, India (e-mail: tps@isid1.isid.ac.in), IN aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer