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Stability and largeness of core for symmetric games (2000)

Biswas, Amit K. ; Ravindran, G. ; Parthasarathy, T.

Springer

International journal of game theory 29 (2000), S. 11-22

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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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