TY - JOUR
T1 - Foraging graphs
T2 - Constraint rules on matching between bees and flowers in a two-sided pollination market
AU - Peleg, B.
AU - Shmida, A.
AU - Ellner, S.
PY - 1992/7/21
Y1 - 1992/7/21
N2 - We present a theorem on foraging graphs which yields bounds on the number of generalists and specialists in a two-sided natural market. With the biological assumption of the Ideal Free Distribution for each forager which visits different flower types, we use our previous game theory approach of matching between bees and flowers (Peleg & Shmida, 1992, Games and Economic Behav., 4, 232-251.) and some concepts of graph theory, to determine the minimum number of specialist foragers and the maximum number of generalists in a two-sided pollination market with homogeneous good. Our theory applies also when the different types of nectar (goods) are not homogeneous but are still substitutional.
AB - We present a theorem on foraging graphs which yields bounds on the number of generalists and specialists in a two-sided natural market. With the biological assumption of the Ideal Free Distribution for each forager which visits different flower types, we use our previous game theory approach of matching between bees and flowers (Peleg & Shmida, 1992, Games and Economic Behav., 4, 232-251.) and some concepts of graph theory, to determine the minimum number of specialist foragers and the maximum number of generalists in a two-sided pollination market with homogeneous good. Our theory applies also when the different types of nectar (goods) are not homogeneous but are still substitutional.
UR - http://www.scopus.com/inward/record.url?scp=0026615690&partnerID=8YFLogxK
U2 - 10.1016/S0022-5193(05)80620-4
DO - 10.1016/S0022-5193(05)80620-4
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AN - SCOPUS:0026615690
SN - 0022-5193
VL - 157
SP - 191
EP - 201
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 2
ER -