The optimal foraging game

Last modified: 2014-06-09

#### Abstract

In a multi-prey environments, the optimal foraging theory predicts a foragers diet that encounters two or more prey types

sequentially. The predictions are based on maximization of a generalized multi-prey Holling type II functional response. The

results predict that the most proﬁtable prey type will always be included in the predators diet. The other, less proﬁtable prey

types will either be included, or excluded from the diet. This result is known as the 0-1 rule of the optimal foraging theory.

In my talk I will discuss how these results can be obtained in context of the game theory. In particular, I will discuss how a

functional response can be derived using decision trees. Solutions of the foraging game are then sought in the form of an agent

normal form. In particular, I provide some conditions under which the solution of the optimal foraging theory coincides with

the Nash equilibrium of the foraging game. I will show examples where predators can encounter prey types simultaneously, or

the predator requires a positive recognition time to identify the type of prey encountered.

R. Cressman, V. Krivan, J. S. Brown, J. Garay: Game-theoretic methods for functional response and optimal foraging behavior,

Plos One, 2014.

sequentially. The predictions are based on maximization of a generalized multi-prey Holling type II functional response. The

results predict that the most proﬁtable prey type will always be included in the predators diet. The other, less proﬁtable prey

types will either be included, or excluded from the diet. This result is known as the 0-1 rule of the optimal foraging theory.

In my talk I will discuss how these results can be obtained in context of the game theory. In particular, I will discuss how a

functional response can be derived using decision trees. Solutions of the foraging game are then sought in the form of an agent

normal form. In particular, I provide some conditions under which the solution of the optimal foraging theory coincides with

the Nash equilibrium of the foraging game. I will show examples where predators can encounter prey types simultaneously, or

the predator requires a positive recognition time to identify the type of prey encountered.

R. Cressman, V. Krivan, J. S. Brown, J. Garay: Game-theoretic methods for functional response and optimal foraging behavior,

Plos One, 2014.