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BioNB 2210: Lecture 25
Oct. 24, 2011
Lecture 25:
Modeling Conflict:
Game Theory 1
Professor H. Kern Reeve
Learning Objectives
1.
To understand frequency dependent fitness.
2.
To understand a payoff matrix.
3.
To understand an ESS and how it is identified from a payoff matrix.
Goal:
To introduce the concept of frequency dependent selection, develop the basics of
game theory, including the concepts of a payoff matrix, an ESS, to present
techniques of solving an evolutionary game, and to apply the latter techniques to
the evolutionary analysis of animal conflict.
1.
Introduction
The goal of every scientific discipline is to describe, explain and predict
phenomena with the aid of theoretical
models
that picture the essential
relationships between these phenomena and their causes.
These models can be
verbal
or
mathematical
.
The virtue of mathematical models is that they (i) force one to be explicit about
the assumptions behind the model, (ii) allow one to explore the consequences of
models that are too complex or subtle for verbal intuition to be a reliable guide,
and (iii) generate precise, quantitative predictions (and thus especially sensitive
tests of the model).
Thus it is no surprise that mathematical models have played
an important role in understanding the evolution of animal behavior.
Today, you will be introduced to a class of mathematical models that have been
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This note was uploaded on 08/27/2011 for the course BIONB 2210 taught by Professor Seeley during the Fall '10 term at Cornell University (Engineering School).
 Fall '10
 Seeley

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