Game Theory: Prisoner's Dilemma & Nash Equilibrium
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Questions and Answers

Why are common names considered unreliable for scientific classification?

  • Common names are universally accepted and rarely change over time.
  • Common names are precise and specific, leading to no confusion.
  • Common names accurately represent the evolutionary history of a species. (correct)
  • Common names can vary by language and may refer to multiple different species.

In the Linnaean system of classification, what characteristic is used to classify organisms?

  • Dietary habits.
  • Habitat preference.
  • Geographic location. (correct)
  • Shared characteristics.

What is the correct format for a species name in the binomial nomenclature system?

  • Genus (uppercase), species (uppercase)
  • Genus (lowercase), species (uppercase)
  • Genus (uppercase), species (lowercase)
  • Genus (lowercase), species (lowercase) (correct)

Which of the following represents the two highest (most inclusive) levels of taxa in the Linnaean system?

<p>Family and Genus (C)</p> Signup and view all the answers

Which factor do traditional classifications take into account when organizing organisms?

<p>Physical and behavioral traits (C)</p> Signup and view all the answers

During Linnaeus' time, how was life divided into different groups?

<p>Prokaryotes and Eukaryotes (B)</p> Signup and view all the answers

Before the current classification, the kingdoms Eubacteria and Archaebacteria were grouped into what single kingdom?

<p>Protista (C)</p> Signup and view all the answers

Which two domains are exclusively composed of unicellular organisms?

<p>Eukarya and Protista (C)</p> Signup and view all the answers

Which of the following is the most specific classification in taxonomy?

<p>Class (C)</p> Signup and view all the answers

What is a derived character in the context of classification?

<p>A trait that evolved in a common ancestor and is shared by its descendants. (C)</p> Signup and view all the answers

Flashcards

Binomial nomenclature

Naming system that provides each species a scientific name.

Carolus Linnaeus

A scientist known for developing the classification system used today.

Genus

A classification rank that groups closely related species together.

Species

The most specific classification in taxonomy which are organisms that can mate and produce offspring of appearance.

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Mammalia

A class of animals that have fur/hair, produce milk, and are warm-blooded.

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Derived character

A trait that evolved in a common ancestor and is shared by its descendants.

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Cladogram

Diagram that shows evolutionary relationships between species based on shared traits.

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Common ancestry

The idea that different species evolved from a shared ancestor.

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Kingdom of Eukaryotes

Classification that includes all organisms with complex cells (eukaryotes).

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Kingdom of Fungi

A group of eukaryotic organisms that absorb nutrients from their surroundings.

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Study Notes

  • Game theory studies mathematical models of strategic interactions among rational agents.
  • Applications span economics, political science, biology, and computer science.

Prisoner's Dilemma

  • Two suspects, held separately, face a choice to confess or stay silent.
  • If one confesses and the other doesn't, the confessor is released, and the other gets 10 years.
  • If both confess, they each get 5 years.
  • If neither confesses, they each get 1 year.

Payoff Matrix for Prisoner's Dilemma

Suspect B Confesses Suspect B Stays Silent
Suspect A Confesses (-5, -5) (0, -10)
Suspect A Stays Silent (-10, 0) (-1, -1)
  • Matrix entries show prison sentences for Suspect A and Suspect B respectively.

Rationality in Game Theory

  • Players are assumed to act to maximize their own payoff, given their beliefs.

Nash Equilibrium Defined

  • A state where no player benefits from unilaterally changing strategy if others don't.
  • In Prisoner's Dilemma, both confessing is the Nash Equilibrium, because each suspect is better off confessing regardless of the other's action

Algorithmic Game Theory (AGT)

  • AGT blends game theory and computer science
  • It focuses on computational aspects of games.
    • Efficient algorithms for finding Nash Equilibria
    • Analyzing strategic behavior complexity
    • Designing mechanisms to incentivize socially desirable behavior

Key Topics in AGT

  • Mechanism Design: rules for achieving desired outcomes even with selfish players.
  • Price of Anarchy: measures efficiency degradation from agents behaving selfishly.
  • Computational Complexity: analyzes difficulty in computing game-theoretic solutions like Nash equilibrium.
  • Learning in Games: focuses on how players learn to play effectively in repeated games, even without knowing other's strategies

Google's Ad Auction: example

  • A mechanism design problem where Google maximizes revenue by allocating ad slots.
  • Advertisers have different valuations and may be untruthful.
  • Google uses a Vickrey-Clarke-Groves (VCG) auction.
    • Advertisers bid for slots
    • Allocation goes to highest bidders
    • Each winner pays the harm caused to other bidders.
  • VCG auctions are truthful because bidding true value is always in an advertiser's best interest.
  • AGT is a tool for analyzing strategic interactions, improving system design, and increasing efficiency and fairness.

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Explore game theory with a focus on the Prisoner's Dilemma. Understand the payoff matrix and the consequences of confessing versus staying silent. Learn about Nash Equilibrium and rationality in strategic decision-making.

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