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lecture25 - BioNB 2210 Lecture 25 Oct 24 2011 Lecture 25...

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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.
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