A model of a population with a Local Interaction structure is presented. Individuals interact with others in a given Interaction neighborhood to obtain their payoff. Individuals either imitate or else they die and are replaced by one of their neighbors in another neighborhood- the Propagation...

We show, that Strategy profile of a normal form game is proper if and only if it is quasiperfect in every extensive form (with that normal form). Thus, properness requires optimality along a sequence of suppol ting trembles, while sequentiality only requires optimality in the limit. A...

This paper develops an approach to equilibrium selection in game theory based on studying the equilibriating process through which equilibrium is achieved. The differential equations derived from models of interactive learning typically have stationary states that are not isolated. Instead, Nash...

This paper characterizes modified evolutiona.rily stable strategies (MESSes) in Rubinstein's alternatingoffers, infinite- horizon bargaining game. The MESS concept modifies the idea of an neutrally stable strategy by favoring a simple strategy over a more complex strategy when both yield the...

This paper examines an evolutionary model in which the primary source of noise that moves the model between equilibria is not arbitrarily improbvable mutations but mistakes in learning. We model strategy selection as a birth-death process, allowing us to and a simple, closed-form solution for...

Lecture on the first SFB/TR 15 meeting, Gummersbach, July, 18 - 20, 2004: We model the formation of a herd as a game between a predator and a prey population. The predator receives some information about the composition of the herd when he chases it, but receives no information when he chases a...

Gregarious behavior of potential prey was explained by Hamilton (1971) on the basis of risk-sharing: The probability of being picked up by a predator is small when one makes part of a large aggregate of prey. This argument holds only if the predator chooses its victims at random. It is not the...

Lecture on the first SFB/TR 15 meeting, Gummersbach, July, 18 - 20, 2004We model the formation of a herd as a game between a predator and a prey population. The predator receives some information about the composition of the herd when he chases it, but receives no information when he chases a...