caa a22 4500 47706759X CHVBK 20180405111416.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF02459487 doi (NATIONALLICENCE)springer-10.1007/BF02459487 Constraints on reciprocity for non-sessile organisms [Elektronische Daten] [Michael Mesterton-Gibbons, Michael Childress] Previous game-theoretic models of reciprocity have assumed that populations are large and organisms effectively sessile. This paper analyzes an iterated prisoner's dilemma among non-sessile organisms in a finite population, on the assumption that an individual's chance of remaining in one place is not influenced by a partner's behavior. This mode of interaction is suitable for analyzing potentially cooperative behaviors that are secondary to the advantage of group formation, e.g. allogrooming among social mammals. The analysis yields necessary conditions for stable reciprocity in terms of three parameters, namely, a benefit/cost ratio, the probability of further interaction and the probability of partner retention. The results suggest that, in highly mobile organisms such as fish, birds and mammals, reciprocity may be stable only if the population is small and the relative benefit and future interaction probability are both large. Society for Mathematical Biology, 1996 Mesterton-Gibbons Michael Department of Mathematics 3027, Florida State University, 32306-3027, Tallahassee, FL, U.S.A. aut Childress Michael Department of Biological Science 2043, Florida State University, 32306-2043, Tallahassee, FL, U.S.A. aut Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 861-875 0092-8240 58:5<861 1996 58 11538 https://doi.org/10.1007/BF02459487 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02459487 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mesterton-Gibbons Michael Department of Mathematics 3027, Florida State University, 32306-3027, Tallahassee, FL, U.S.A aut NATIONALLICENCE 700 1- Childress Michael Department of Biological Science 2043, Florida State University, 32306-2043, Tallahassee, FL, U.S.A aut NATIONALLICENCE 773 0- Bulletin of Mathematical Biology Kluwer Academic Publishers 58/5(1996-09-01), 861-875 0092-8240 58:5<861 1996 58 11538 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer