Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 200-209 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 362 |
| Issue number | 1 |
| Publication status | Published - 2010 |
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Convex games with countable number of players and sequencing situations. / Fragnelli, V.; Llorca, N.; Sánchez-Soriano, J.; Tijs, S.H.; Brânzei, R.
In: Journal of Mathematical Analysis and Applications, Vol. 362, No. 1, 2010, p. 200-209.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - Convex games with countable number of players and sequencing situations
AU - Fragnelli, V.
AU - Llorca, N.
AU - Sánchez-Soriano, J.
AU - Tijs, S.H.
AU - Brânzei, R.
N1 - Appeared earlier as CentER Discussion Paper 2006-119 (rt)
PY - 2010
Y1 - 2010
N2 - In this paper we study convex games with an infinite countable set of agents and provide characterizations of this class of games. To do so, and in order to overcome some shortcomings related to the difficulty of dealing with infinite orderings, we need to use a continuity property. Infinite sequencing situations where the number of jobs is infinite countable can be related to convex cooperative TU games. It is shown that some allocations turn out to be extreme points of the core of an infinite sequencing game.
AB - In this paper we study convex games with an infinite countable set of agents and provide characterizations of this class of games. To do so, and in order to overcome some shortcomings related to the difficulty of dealing with infinite orderings, we need to use a continuity property. Infinite sequencing situations where the number of jobs is infinite countable can be related to convex cooperative TU games. It is shown that some allocations turn out to be extreme points of the core of an infinite sequencing game.
M3 - Article
VL - 362
SP - 200
EP - 209
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 1
ER -