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== <span style="color: #FFFFFF;">Understanding</span> == Evolutionary game theory is understood through '''Frequency Dependence''' and '''Stability'''. '''1. The Strategy is the "Player"''': In EGT, an individual animal doesn't "Choose" to be a Hawk. They *are* a Hawk (it's in their DNA). * If there are many Doves, being a Hawk is great (you get all the food for free). * If there are many Hawks, being a Hawk is dangerous (you get in many bloody fights). * This means the "Value" of a strategy depends on how many others are using it (Frequency Dependence). '''2. The ESS (The "Locked-In" State)''': Imagine a population of Doves who all share food. * If a "Mutant" Hawk appears, they win every time and have many babies. The Hawk strategy "Invades." * However, if a "Mutant" Dove appears in a population of Hawks, they might survive better by avoiding fights. * An '''Evolutionary Stable Strategy''' is a mix (e.g., 60% Hawks, 40% Doves) where no new mutant can do better than the locals. '''3. Cooperation (The Prisoner's Dilemma)''': Standard game theory says "Always Betray." EGT says "If you play many times, Cooperation wins." * In a population of "Betrayers," everyone is poor. * In a population of "Cooperators," everyone is rich. * Strategies like "Tit-for-Tat" allow cooperation to survive by "Punishing" the betrayers. '''Hamilton's Rule (rB > C)''': Altruism evolves if the (r)elatedness to the person you help, times the (B)enefit they get, is greater than the (C)ost to you. </div> <div style="background-color: #8B0000; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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