Ithaca College

Ted Galanthay, Assistant Professor of Mathematics, presented his research at the 18th International Symposium on Dynamic Games and Applications, held in Grenoble, France, July 9-12.  Dr. Galanthay's research topic was A game-theoretic approach to foraging dynamics.  This was joint work with Vlastimil Krivan (Czech Academy of Sciences) and Ross Cressman (Wilfrid Laurier University).  The abstract for the presentation follows.   

The Hawk-Dove game has been used to model the evolution of aggression in animals. This is a frequency-dependent, but density-independent, two-strategy game with well-known results. In the classical game, interactions between players take the same amount of time. R. Cressman and V. Krivan found qualitatively different results when interaction times depended on the strategies. Recent work extended this time-dependent Hawk-Dove game by incorporating foraging dynamics, from ecology, by including payoffs to singles from foraging on an implied underlying resource where resource levels were assumed to be fixed. In this talk, we present preliminary results on how predictions of aggression are affected by including resource dynamics.