Algorithmic Game Theory: Prisoner's Dilemma

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Listen to an AI-generated conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What is the default system of community of property automatically applied to a marriage?

  • Universal community of property.
  • Separation of property with deferred community of gains.
  • Limited community of property.
  • Statutory community of property. (correct)

Which type of assets acquired by a spouse during the marriage generally fall into the community property?

  • Assets acquired through gift.
  • Assets acquired through labor during the marriage. (correct)
  • Assets acquired before the marriage took place.
  • Assets acquired through inheritance.

Under what circumstances can a spouse request authorization from the family court to perform an act without the consent of the other spouse?

  • When the other spouse is temporarily unavailable.
  • When consent is required, but the other spouse refuses consent without valid reason. (correct)
  • When the act is of minor importance.
  • When the spouses live separately.

In managing community property, what is the general rule regarding actions that require the cooperation of both spouses?

<p>Both spouses must jointly take actions related to managing the property. (D)</p>
Signup and view all the answers

Which of the following is an example of an asset that generally remains the separate property of a spouse, unaffected by the community property regime?

<p>Property acquired before the marriage. (B)</p>
Signup and view all the answers

What happens to the community property regime if the spouses enter into a prenuptial agreement?

<p>The spouses can deviate from the statutory regulations by making their own agreements. (C)</p>
Signup and view all the answers

If one spouse undertakes a transaction without the required consent of the other spouse, what is a potential consequence for that transaction?

<p>The transaction can be voided by the other spouse. (C)</p>
Signup and view all the answers

What is the key distinction between 'ownership right' and 'economic value' in the context of community property after the legislative amendment of 2018?

<p>The 'ownership right' always remains separate while the 'economic value' is community. (A)</p>
Signup and view all the answers

Which debts are generally considered 'separate debts' ( eigen schulden ) belonging solely to one spouse?

<p>Debts incurred before the marriage. (D)</p>
Signup and view all the answers

Under the system of community of property, how are the assets divided if one spouse brings a business into the marriage?

<p>The ownership remains separate, but the income generated during the marriage is community property. (D)</p>
Signup and view all the answers

Flashcards

Eigen vermogen (Separate Property)

Property owned individually by each spouse, listed from September 1, 2018, including goods brought into the marriage.

Categorie I

Goods and rights belonging to each spouse from September 1, acquired before or during the marriage.

Categorie II

Goods acquired with separate property, or compensation for loss of separate property.

Categorie III

Goods and rights that cannot be transferred or are strictly personal.

Signup and view all the flashcards

Gemeenschappelijk vermogen

A special indivisible entity jointly owned, managed, and liable for debts.

Signup and view all the flashcards

Schulden (debts)

Debts not falling under separate property are paid from the community property.

Signup and view all the flashcards

Eigen schulden (Separate Debts)

Debts existing before the marriage.

Signup and view all the flashcards

Verhaalsrecht

Debts of the community can be recovered from the separate property of one spouse.

Signup and view all the flashcards

Gezamenlijk bestuur

Both spouses must cooperate on certain transactions.

Signup and view all the flashcards

Bestuur van het gemeenschappelijk vermogen

Each spouse has the power to manage community property.

Signup and view all the flashcards

Study Notes

Algorithmic Game Theory

  • Focuses on mathematical models of strategic interactions among rational decision-makers (agents).
  • Agent's outcome relies on strategies of others, making it a strategic interaction.
  • Rationality refers to an agent choosing best strategy based on their beliefs.

Prisoner's Dilemma

  • Classic example demonstrating strategic interactions where individual rationality leads to a collectively suboptimal outcome.
  • Two suspects can either stay silent or betray each other.
  • If both stay silent, minimal sentence for both.
  • If one betrays, betrayer goes free, while the other receives a harsh sentence.
  • If both betray, they both receive a moderate sentence.
  • The Nash equilibrium results in both betraying although they would be better off if they both stayed silent which would carry a lighter sentence.

Algorithmic Game Theory (AGT) Defined

  • An interdisciplinary field combining game theory and computer science.
  • Addresses computational questions in games.
  • Focused on computing solution concepts, designing efficient games and analyzing performance of algorithms within strategic settings.
  • Advertisers bid on keywords that users search for.
  • Auctions are used to determine ad placement and pricing.
  • It must balance search engine revenue with efficiency.
  • The setup is an incentive for advertisers to bid truthfully while accounting for real-time constraints.
  • The auction system needs to be resistant to advertiser manipulation for optimal results.

Course Outline Topics

  • Introduction to game theory.
  • Discussion on Nash equilibrium, correlating equilibriums.
  • The subject of mechanism design including auctions and VCG mechanisms.
  • Revenue maximization is explored.
  • Price of Anarchy examines congestion games.
  • Coalitional game theory covers the Shapley value in cost sharing.
  • Repeated Games focus on Folk theorems and collusion.

Key References

  • Algorithmic Game Theory by Noam Nisan, Tim Roughgarden, Eva Tardos, and Vijay V. Vazirani.
  • Incentives in Computer Science by Yiling Chen, Rupert Freeman.

Fair Division of Indivisible Goods

  • Discusses an agent's valuation function assigns to subsets of goods.
  • Pareto efficiency in this context means an allocation where no agent can be made better off without making another worse off.
  • An example of algorithm is iterative and improves until no further improvement is possible.

Social Network Technology Adoption Game

  • Modeling this scenario involves defining players, strategies, and payoffs, highlighting the interplay between adoption costs and network effects.
  • Network effects in this social network increase the benefit of technology as people keep adopting
  • Includes finding Nash equilibriums to understand when individuals adopt or reject technology.

Description statistics summary

  • Descriptive statistics includes population and sample definitions.
  • A Variable is defined as a characteristic of interest that varies among individuals, divided into quantitative (numerical) and qualitative (categorical) types.
  • There are descriptive parameters for position, dispersion and shape metrics.
  • Includes graphical representations for data.
  • Includes various data type tables of frequencies.

Statics Equilibrium overview

  • Equilibrium requires the net force on a particle to be zero, expressed as ΣF = 0.
  • Free Body Diagrams are a necessity
  • Particles must be isolated.
  • Forces acting on the particle must be shown
  • Select a coordinate system.
  • Also reviews equilibrium equations and free body diagrams relating to spheres and knots.

Market Overview

  • Details the function of a market and supply and demand graphs.
  • Includes demand curve decrease when price increases and supply curves increase when price increases.
  • Details the Elasticity formula

Production, cost and factors summary

  • Details cost of production with fixed costs, variable costs and marginal costs.
  • Factoring in the function of production formula

Production market structures

  • Covers competition, monopoly, oligopoly and monopolistic competition in varying detail

State of economics, commerce and money theory

  • States roles of functions within state, discussing taxes and public spending
  • Also defines what money is, how banks function including the policies of use for influencing the finacial condition of money itself
  • Defines ventage comparitive to the other countries. also what barriers of comemrce are, and what exchange types would look like

Summer Semester 2024 exercise questions

  • Exercises covering second-price auctions designed for truthful maximization
  • Pareto efficient allocation of division of indivisible goods. iterative algorthims are considered until further improvement is possible
  • Social Networking Technology game adoption including private cost and benefits
  • Includes defining the modelling game.
  • Finding the Nash equilibriums.
  • Discussing efficiency of Nash equilibriums
  • Includes social welare comparision comparing social wellbeing compared to the original outcome.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser