Algorithmic Game Theory

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Questions and Answers

Which of the following best describes social stratification?

  • A hierarchy of privilege based on power, property, and prestige. (correct)
  • A system where everyone has equal access to resources.
  • A society without any form of ranking or categorization.
  • A random distribution of wealth and status in a society.

Social stratification only exists within individual nations and does not apply to the global scale.

False (B)

Match the type of social mobility with its description:

Horizontal Mobility = Movement within the same social class level. Vertical Mobility = Movement between different social class levels.

Name three bases upon which society categorizes people into socioeconomic strata.

<p>Occupation, income, and wealth</p> Signup and view all the answers

According to the content, social mobility is the act of moving from one social _______ to another.

<p>status</p> Signup and view all the answers

What is the primary focus of horizontal mobility?

<p>Movement within the same social stratum. (C)</p> Signup and view all the answers

Gender always influences social distinctions within each layer of social stratification.

<p>True (A)</p> Signup and view all the answers

What is a social role?

<p>Expected behavior of a person related to a status.</p> Signup and view all the answers

The upper class makes up approximately _____% of the population.

<p>14</p> Signup and view all the answers

Match the following social classes with an example of a typical occupation:

<p>Upper Class = Top Level Executive Working Class = Blue collar worker with low job security Lower Class = Individual relying on government transfers</p> Signup and view all the answers

A society's categorization of people into socioeconomic strata is based on:

<p>Their occupation and income, wealth, social status, or derived power. (C)</p> Signup and view all the answers

Social inequality makes the concept of social mobility unjustifiable.

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

What type of mobility is exemplified by a 'rag-to-riches' story?

<p>Vertical mobility</p> Signup and view all the answers

Match the term with its correct definition:

<p>Social Status = An individual's position in the society Social Role = Expected behavior attached to a status</p> Signup and view all the answers

A principal who becomes an education supervisor is an example of _______ mobility.

<p>horizontal</p> Signup and view all the answers

Which of the following is NOT identified as a topic within the lesson?

<p>Political Polarization (D)</p> Signup and view all the answers

All societies have the same degree of inequality.

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

What concept describes people who regularly and consciously interact with one another?

<p>Social groups</p> Signup and view all the answers

The content suggests that social distinctions favor _______ based on gender.

<p>males</p> Signup and view all the answers

Of the classes mentioned, which class relies on government transfers and occupies poorly-paid jobs?

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

Flashcards

Social Stratification

A hierarchy of relative privilege where people are divided into layers based on power, property, and prestige.

Social Class

A group of individuals with a similar position in the economic system of production (wealth, income, education).

Social Role

Expected behavior of a person based on their status.

Social Status

The position of an individual in the society.

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Social Groups

People who regularly and consciously interact.

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Social Mobility

Moving from one social status to another.

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Horizontal Mobility

Movement within the same social class level.

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Vertical Mobility

Movement between different social class levels.

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Study Notes

  • Algorithmic Game Theory combines game theory and algorithm design.

Organizational Information

  • Lecturer: Prof. Dr. Sven Seuken
  • Lecture Time: Mondays, 14:15 - 15:45
  • Location: Room 0.01, Oettingenstr. 67
  • Tutorial Time: Mondays, 16:15 - 17:45
  • Location: Room 0.01, Oettingenstr. 67
  • Website: https://home.in.tum.de/~seuken/2023WS-AGT/

Content of Algorithmic Game Theory

  • Designing mechanisms to incentivize selfish participants to maximize social welfare.
  • Determining the complexity of computing game-theoretic solution concepts.

Prerequisites

  • Basic algorithms and data structures.
  • Basic probability theory.
  • Basic linear programming.

Grading

  • Weekly exercises account for 50% of the grade.
  • The final exam accounts for 50% of the grade.
  • At least 50% of points must be achieved in both exercises and the final exam to pass.

Topics Covered

Introduction

  • Focus on selfish agents and strategic behavior in game theory.
  • Includes examples of strategic situations.

Game Theory Basics

  • Defines what constitutes a game, including strategies and solution concepts.
  • Solution concepts include:
    • Dominant strategies
    • Nash equilibrium
    • Pareto optimality
  • Covers algorithmic mechanism design without money.
  • Includes strategy-proof mechanisms and implementation in dominant strategies.
  • Discusses social choice functions and the the Gibbard-Satterthwaite Theorem.
  • Includes randomized social choice functions and implementation in dominant strategies in expectation.
  • The Random Dictatorship Mechanism is mentioned.

Mechanism Design with Money

  • Deals with quasi-linear preferences and the Revelation Principle.
  • Covers Vickrey-Clarke-Groves (VCG) mechanisms, especially in single-parameter environments.
  • Examples of VCG are, the Vickrey auction and mechanisms for scheduling on a single machine.
  • Also covers the AGV mechanism.
  • Explores approximation mechanisms.
  • Discusses prior-independent mechanisms, including posted pricing and the prophet inequality.

Cost-Sharing Mechanisms

  • Covers basic concepts, Moulin mechanisms, and the Shapley value.

Equilibrium Computation

  • Focuses on the process of computing mixed Nash equilibria.
  • The Lemke-Howson algorithm is covered.
  • The complexity class PPAD is mentioned.

The Price of Anarchy

  • Focuses on the concept of the price of anarchy.
  • Includes a discussion of the Braess paradox.
  • Discusses bounding the price of anarchy with and without altruistic agents.
  • Discusses bounding the price of anarchy in congestion games, using smoothness.

Mechanism Design for Sponsored Search Auctions

  • Generalized second price (GSP) auction.
  • The VCG auction for sponsored search.
  • Adwords and online allocation.

Fair Division

  • Considers cake cutting scenarios.
  • Focuses on envy-freeness and proportionality.
  • Includes the Stromquist moving knife protocol.
  • Focuses on fair division of indivisible goods.
  • Discusses the envy-free up to one good (EF1) criterion.
  • Covers the maximum Nash welfare.

Literature

  • Game Theory
    • Models in Microeconomic Theory by M.J. Osborne and A. Rubinstein (2020).
    • A Course in Game Theory by M.J. Osborne and A. Rubinstein (1994).
    • Game Theory by D. Fudenberg and J. Tirole (1991).
  • Algorithmic Game Theory
    • Algorithmic Game Theory by N. Nisan, T. Roughgarden, E. Tardos, and V.V. Vazirani (2007).
    • Introduction to Algorithmic Game Theory by Y. Elkind (2010).
    • Twenty Lectures on Algorithmic Game Theory by T. Roughgarden (2016).

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