Jan Rychtář
Department of Mathematics and Statistics, The University of North Carolina at Greensboro, Greens- boro, NC, USA
Daniel Frynta
Department of Zoology, Faculty of Science, Charles University in Prague
Jakub Tomek
Faculty of Mathematics and Physics, Charles University in Prague
Zuzana Varadínová
Department of Zoology, Faculty of Science, Charles University in Prague
Cyril Brom
Faculty of Mathematics and Physics, Charles University in Prague
Animals live in groups for a wide variety of reasons. The main benefits are related to anti-predator behaviour, foraging, mate finding, and/or reduction of energetic costs. In this paper we present a game-theoretical model that supports the waste recycling hypothesis. This hypothesis posits that the organic waste materials produced by the members of a group represent a valuable resource that is communally inherited and utilized by group members. Under this hypothesis and on the example of cockroaches, we determine evolutionarily stable strategies of social behaviour and quantify conditions on natural parameter values such as food availability under which the group formation is beneficial.
