# Questions tagged [social-choice]

The study of how groups of people should make collective decisions. This can involve voting, bargaining, the application of some protocol (e.g. to fairly divide goods), or maximizing some measure of social welfare.

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### What does social choice theory say about how to assign different positions to every member in a committee?

Consider the following setting: A committee has $N$ members. There are $m$ types of positions in the committee. For each type of positions $1 \leq i \leq m$, there are $n_i$ identitical positions for ...
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### Definition of direct revelation mechanism

In Algorithmic Game Theory by Noam Nisan, a (general) mechanism for $n$ player is defined as $$M=(\{T_i\},\{X_i\},A,\{v_i\},a,\{p_i\}),\tag1$$ where $T_1,\dots,T_n$ are the players' type spaces (...
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### Part of proof of Gibbard-Satterthwaite Theorem

I'm currently working through Nisan's Algorithmic Game Theory, Chapter 9 (Introduction to Mechanism Design). A part of the proof for the Gibbard-Satterthwaite Theorem is given as "obvious," ...
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### How *do* NGOs, think tanks, and governments weigh income/consumption tradeoffs/transfers at different income levels?

In considering policies and transfers, how do we (economists, NGOs, governments & think tanks) weigh income (consumption) tradeoffs between the poor & the very poor? E.g., 'is giving 100 USD/...
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### Comparing voting methods when there are only two voters

Consider the Schulze, Kemeny-Young, Ranked Pairs and Borda count voting methods. (The last is obviously the odd one out in this list!) Suppose that there are only two voters. Each voter gives a ...
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1 vote
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### Axiom of Minimal Liberalism & Sen's Theorem of Paretial Liberal

Suppose that a person believes that all humans are guaranteed a set of rights that cannot be taken from them in any situation or circumstance (for example, the right to marry a person of your choice, ...
206 views

### Question about Social Welfare Function and Social Profile

What are the meanings of a social welfare function and social profile? How are they related?
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### Rawlsian SWF and Arrow Impossibilty Theorem

given Arrow impossibility theorem the only social welfare function that satisfies unrestricted domain, pareto and the independence of irrelevant alternatives is Dictatorship. However I was wondering ...
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### Is $(\mathbb{R}^m)^n$ the real coordinate space of dimension $m\cdot n$?

Very simple question here: say that there are n individuals and each individual $i\leq n$ has a consumption bundle $x_i\in \mathbb{R}^m$ (i.e. there are $m$ types of goods). Suppose that social ...
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### Utility representation of single peaked preferences

Is it true that a single-peaked preference (with the peak at some finite point) over the set of real numbers, always has a utility representation ?? If yes, can you please hint towards the proof or ...
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### Practical examples of fair division algorithms being used

Consider the problem of fairly sharing a homogeneous cake between two people. It is well-known that a fair division can be achieved through the divide and choose procedure: player 1 cuts the cake into ...
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### Is there an economic reason why employees don't share salary information with each other?

In Western society, one's salary is often a taboo topic and people tend to not tell other people what they earn. In China by contrast, I have been told that asking one's salary is fairly normal ...
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