Podcast
Questions and Answers
What is a primary focus of the social choice theory discussed?
What is a primary focus of the social choice theory discussed?
- Collective decision-making and preferences (correct)
- The economic impact of individual choices
- How best to produce goods for society
- Distribution of private wealth among individuals
Which of the following is NOT listed as a type of institution for making social decisions?
Which of the following is NOT listed as a type of institution for making social decisions?
- Public speaking forums (correct)
- Voting systems
- Delegation methods
- Market-like institutions
What is the 'Fundamental Economic Problem (Normative version)' related to?
What is the 'Fundamental Economic Problem (Normative version)' related to?
- Making collective choices regarding production and distribution (correct)
- Analyzing market demand for products
- Maximizing individual profits
- Allocating resources efficiently
In the context of social choices, which of the following statements is true?
In the context of social choices, which of the following statements is true?
What is the goal when examining institutions in social choice?
What is the goal when examining institutions in social choice?
Which of the following examples is NOT related to social choices?
Which of the following examples is NOT related to social choices?
How does the chapter suggest approaching the study of social institutions?
How does the chapter suggest approaching the study of social institutions?
Which aspect is considered fundamental in discussions about social choice?
Which aspect is considered fundamental in discussions about social choice?
What does it mean for a social welfare function (SWF) to satisfy universal domain?
What does it mean for a social welfare function (SWF) to satisfy universal domain?
Why does majority voting fail to satisfy the universal domain criterion?
Why does majority voting fail to satisfy the universal domain criterion?
What does a SWF need to satisfy in order to be considered to have the Pareto property?
What does a SWF need to satisfy in order to be considered to have the Pareto property?
In which context might it be reasonable to relax the universal domain requirement?
In which context might it be reasonable to relax the universal domain requirement?
What characterizes a complete and transitive social ranking?
What characterizes a complete and transitive social ranking?
How can one determine whether a specific social welfare function satisfies universal domain?
How can one determine whether a specific social welfare function satisfies universal domain?
What is a potential consequence of failing to meet the Pareto property in a social welfare function?
What is a potential consequence of failing to meet the Pareto property in a social welfare function?
Which of the following best describes the role of normative reflection in examining social welfare functions?
Which of the following best describes the role of normative reflection in examining social welfare functions?
What is the least contentious principle identified for a social welfare function (SWF) to be desirable?
What is the least contentious principle identified for a social welfare function (SWF) to be desirable?
According to Sen's Impossibility Theorem, which combination of principles cannot be satisfied simultaneously?
According to Sen's Impossibility Theorem, which combination of principles cannot be satisfied simultaneously?
What does Sen's principle of liberalism assert about individual preferences?
What does Sen's principle of liberalism assert about individual preferences?
Which example best illustrates Sen's liberalism principle?
Which example best illustrates Sen's liberalism principle?
In the context provided, what does 'richly specified state of society' refer to?
In the context provided, what does 'richly specified state of society' refer to?
Which situation would lead to a decisive ranking according to Sen's liberalism for the alternatives a and b?
Which situation would lead to a decisive ranking according to Sen's liberalism for the alternatives a and b?
Which principle defines that an individual's preferences are only considered for alternatives they care about?
Which principle defines that an individual's preferences are only considered for alternatives they care about?
If Prude prefers c to a, what does this imply about the social ranking of these alternatives?
If Prude prefers c to a, what does this imply about the social ranking of these alternatives?
What does the Independence of Irrelevant Alternatives (IIA) state about social welfare functions (SWF)?
What does the Independence of Irrelevant Alternatives (IIA) state about social welfare functions (SWF)?
Under IIA, how should the SWF respond to two identical preference profiles concerning alternatives a and b?
Under IIA, how should the SWF respond to two identical preference profiles concerning alternatives a and b?
If two individuals have the same preference for alternatives a and b, what impact does this have on the SWF's output concerning those alternatives?
If two individuals have the same preference for alternatives a and b, what impact does this have on the SWF's output concerning those alternatives?
Which statement best reflects a common misconception about IIA?
Which statement best reflects a common misconception about IIA?
What key characteristic does a good SWF exhibit according to IIA?
What key characteristic does a good SWF exhibit according to IIA?
In practical terms, IIA ensures that which aspect of voting or choice behavior remains unchanged?
In practical terms, IIA ensures that which aspect of voting or choice behavior remains unchanged?
When applying IIA, what happens to the social ordering if preferences for unrelated alternatives shift?
When applying IIA, what happens to the social ordering if preferences for unrelated alternatives shift?
Which of the following illustrates the principle of IIA with the given SWF outcomes?
Which of the following illustrates the principle of IIA with the given SWF outcomes?
What is the consequence of violating the IIA principle in a SWF?
What is the consequence of violating the IIA principle in a SWF?
Why is the concept of IIA critical in social choice theory?
Why is the concept of IIA critical in social choice theory?
What is a defining characteristic of a dictatorship in the context of a social welfare function (SWF)?
What is a defining characteristic of a dictatorship in the context of a social welfare function (SWF)?
Which criterion indicates that a SWF should not lead to dictatorial outcomes?
Which criterion indicates that a SWF should not lead to dictatorial outcomes?
What does the Borda Rule primarily involve?
What does the Borda Rule primarily involve?
In the context of Arrow's Impossibility Theorem, what is required among alternatives considered?
In the context of Arrow's Impossibility Theorem, what is required among alternatives considered?
Which statement about the social welfare function (SWF) is true?
Which statement about the social welfare function (SWF) is true?
What happens if all individuals prefer option 'a' over 'b' in a dictatorship?
What happens if all individuals prefer option 'a' over 'b' in a dictatorship?
What is the primary function of the Independence of Irrelevant Alternatives (IIA) criterion?
What is the primary function of the Independence of Irrelevant Alternatives (IIA) criterion?
What does the Borda score of a candidate reflect?
What does the Borda score of a candidate reflect?
Which condition does not apply to a dictatorship according to SWF criteria?
Which condition does not apply to a dictatorship according to SWF criteria?
In a social welfare function, the Unanimity (U) condition implies that:
In a social welfare function, the Unanimity (U) condition implies that:
What main factors can influence strategic manipulation in algorithms?
What main factors can influence strategic manipulation in algorithms?
Which areas of application are highlighted as utilizing collective decision procedures?
Which areas of application are highlighted as utilizing collective decision procedures?
What role does empirical literature play in the understanding of school choice algorithms?
What role does empirical literature play in the understanding of school choice algorithms?
What is a major theorem related to social choice mentioned in the content?
What is a major theorem related to social choice mentioned in the content?
How does institutional design relate to mathematical algorithms?
How does institutional design relate to mathematical algorithms?
What is the importance of social epistemology in the study of algorithms?
What is the importance of social epistemology in the study of algorithms?
Which factor is considered a common issue with school allocation algorithms?
Which factor is considered a common issue with school allocation algorithms?
What consequence can arise from the application of social choice theory in economic theory?
What consequence can arise from the application of social choice theory in economic theory?
What is a potential research focus indicated by the content regarding algorithms?
What is a potential research focus indicated by the content regarding algorithms?
Which characteristic is NOT mentioned as a concern regarding the performance of algorithms?
Which characteristic is NOT mentioned as a concern regarding the performance of algorithms?
What does the proof by Reny (2000) primarily address?
What does the proof by Reny (2000) primarily address?
How might school choice algorithms impact social outcomes?
How might school choice algorithms impact social outcomes?
What type of decision-making process might require the application of social choice theory?
What type of decision-making process might require the application of social choice theory?
Which assertion about the relationship between algorithms and economics is incorrect?
Which assertion about the relationship between algorithms and economics is incorrect?
Flashcards
Social Choice
Social Choice
The process by which groups of individuals make collective decisions about public policies.
Public Policies
Public Policies
Possible courses of action chosen by a society.
Group of People
Group of People
Individuals involved in collective decision-making.
Economic Problem (Normative)
Economic Problem (Normative)
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Policy Preferences
Policy Preferences
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Presidential Elections
Presidential Elections
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Referenda
Referenda
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Market-like Institutions
Market-like Institutions
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Voting
Voting
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Delegation
Delegation
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Universal Domain (UD)
Universal Domain (UD)
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Condorcet Paradox
Condorcet Paradox
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Pareto property/Unanimity
Pareto property/Unanimity
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Social Welfare Function (SWF)
Social Welfare Function (SWF)
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Complete Social Ranking
Complete Social Ranking
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Transitive Social Ranking
Transitive Social Ranking
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IIA
IIA
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Social Welfare Function (SWF)
Social Welfare Function (SWF)
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Preference Profile
Preference Profile
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Social Ordering (of two alternatives)
Social Ordering (of two alternatives)
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Individual Preferences
Individual Preferences
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Sen's Principle of Liberalism
Sen's Principle of Liberalism
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Unanimity
Unanimity
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Universal Domain
Universal Domain
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Social Welfare Function (SWF)
Social Welfare Function (SWF)
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Sen's Impossibility Theorem
Sen's Impossibility Theorem
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Richly Specified Alternative
Richly Specified Alternative
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Lady Chatterley's Lover
Lady Chatterley's Lover
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School Allocation Algorithms
School Allocation Algorithms
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Strategic Manipulation (School Choice)
Strategic Manipulation (School Choice)
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Social Choice Theory
Social Choice Theory
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Institutional Design
Institutional Design
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Welfare Economics
Welfare Economics
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Social Epistemology
Social Epistemology
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Muller-Satterthwaite Theorem
Muller-Satterthwaite Theorem
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Proof (Reny, 2000)
Proof (Reny, 2000)
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Pivotal Voter
Pivotal Voter
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Dictatorship (SWF)
Dictatorship (SWF)
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Social Welfare Function (SWF)
Social Welfare Function (SWF)
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UD (in SWF)
UD (in SWF)
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U (in SWF)
U (in SWF)
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IIA (in SWF)
IIA (in SWF)
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ND (in SWF)
ND (in SWF)
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Borda Rule
Borda Rule
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Arrow's Impossibility Theorem
Arrow's Impossibility Theorem
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Alternative
Alternative
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Study Notes
Social Choice and Welfare
- Every human society faces the fundamental economic problem of how to organize to produce and distribute needed resources.
- Social choices involve a group of people, a set of public policies (alternatives), and individual preferences for these policies.
Introduction
- Key concern: how individual and social choices are organized.
- Addresses fundamental economic problems regarding resource production and distribution.
- Purpose is to understand how groups of individuals can/should make collective decisions.
Social Choices
- Includes a group of people, a set of potential public policies, and the impact each policy has on all members of the group.
- Individuals typically have differing preferences regarding the policies.
Many Examples
- Presidential elections, referendums, public goods provision, school choice, and spectrum allocation fall under the umbrella of social choices. This applies to a wide array of situations impacting society.
Institutions
- In liberal democracies, social choices are frequently made through market-like institutions, alternative allocation methods, voting systems, and delegation.
- Market-like institutions, such as stock markets and fish markets, can handle resource allocation problems.
- Alternative methods involve non-monetary approaches to allocation, like kidney exchanges or course allocation.
- Voting systems, like presidential elections, are used for political decision-making.
- Delegation mechanisms, such as those related to the Delta Works flood control project, are another method.
Formalizing the Problem
- A social choice problem involves a group of individuals (indexed by i = 1,..., N), a set of possible choices (alternatives), individual preferences over these alternatives, and the aggregation of these preferences into a collective choice.
Our Working Example
- A movie club needs to decide which movie to screen.
- The club has three choices: Pulp Fiction, Inside Out, and Parasite.
- The three members have specific preferences.
- This example demonstrates a social choice problem in practice.
What are we assuming about people?
- Individuals have complete and coherent preferences.
- For any two alternatives, individuals can compare them and express a preference.
- Preferences are complete and transitive (if an individual prefers A to B and B to C, then they prefer A to C).
Aggregating Preferences
- How individual preferences are combined to form a collective preference is a crucial element in social choice theory.
- Social welfare function (SWF) is a set of rules that takes individual preferences as input to produce a collective ranking of the options.
Voting
- Common mechanism for preference aggregation.
- Several voting systems exist (e.g., majority voting, plurality).
Majority Voting
- A decision or candidate wins if they receive more than half of the votes.
- Can lead to cycles/paradoxes if there are more than two alternatives.
Plurality
- The candidate with the most votes wins, irrespective of the actual vote split.
- Can also be problematic if there are more than two alternatives and votes are not spread evenly.
Arrow's Impossibility Theorem
- Arrow's theorem asserts that no ranked voting system can satisfy all the desired criteria simultaneously if there are 3 or more alternatives in the absence of dictatorship.
Impossibility for Choices
- Arrow's impossibility theorem indicates that finding a social welfare function (SWF) that satisfies all the desired properties (universal domain, Pareto efficiency, independence of irrelevant alternatives) and is not a dictatorship is impossible when there are three or more choices.
Dictatorship
- In a dictatorship, the SWF always reflects the preferences of a single individual.
Sen's Critique
- Sen argued that unanimity, a seemingly uncontroversial principle in social choice, can conflict with other values.
- A society's decision regarding matters that are purely personal, e.g., an individual's sleeping position, should be made by the individual.
- This exemplifies the tension between majority rule and individual preferences.
Conclusion
- Social choice theory demonstrates complexities and limitations of social decision-making processes.
- Finding optimal systems or procedures that satisfy diverse values and preferences is challenging.
- Many considerations are crucial such as voter preferences, fairness, and the impact of institutions.
Strategy-Proof Voting Methods
- Ideal method where individuals have incentive to express their true preferences.
- Individual preferences are aggregated into a collective outcome.
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