Questions tagged [theory]
The theory tag has no usage guidance.
183
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Strict methods to define economic systems
I would like to ask the criterion (or criteria) behind the typical division of economic systems.
For example what is the definition of socialism, corporatism, capitalism etc. using a strict and purely ...
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How to formally define the preference profile in which the top alternative of one player becomes the bottom alternative of the next player?
I need to generically define a strict preference profile with Condorcet cicles when the number of players and alternatives coincide. To illustrate my problem, consider the following four-player & ...
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What is the “Reinforcement Axiom” for a social choice function?
I recently came across this Computational Social Choice lecture note from Stanford, where an axiom for social choice functions called “Reinforcement” is introduced as a desirable axiom. I am trying to ...
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Question on neutral and stochastic voting rules of variable size
I have a question regarding neutral and stochastic voting rules with domain of variable size.
THE SETUP
Let $N=\{1,2\}$ be a two player set, let $A_\tau=\{a_1,\dots,a_\tau\}$ be a finite alternative ...
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Reduction of compound lotteries seem to be incorrect?
Wikipedia reads:
I feel that this axiom is much stronger than the usual "axiom of reduction of compound lottery" that we talk about because the Axiom 4' sufficiently imply EU (with weak ...
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how to reach Continuous Expected Utility (EU)?
Consider EU on monetary outcomes. Say we have a utility function $u:\mathbb R\to\mathbb R$
The common axioms of EU are continuity, independence and weak order.
These axioms do not imply that the ...
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Collections of axioms that imply monotonicity?
I am currently searching for collections of axioms that imply monotonicity.
Let $N$ be a finite set of players, let $A$ be a finite set of alternatives, let $\mathcal{P}$ be the set of all linear ...
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Are all subcorrespondences of the weak Pareto correspondence monotonic at the unrestricted domain of linear orders?
I have a doubt regarding the well-known concepts of weak Pareto optimality and monotonicity.
Let $N$ be a finite set of players, let $A$ be a finite set of alternatives, let $\mathcal{P}$ be the set ...
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Axioms Underpinning Game Theory
I am currently working on a survey paper focused on the foundations of game theory, particularly the axiomatic underpinnings that have shaped its development. I am keen to explore seminal works and ...
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Debreu's cardinal representation theorem for finite outcome set
Suppose there are three dimensions. $x,y,z\in X^3$.
Independent: $z_ix\succsim z_iy\iff z'_ix\succsim z'_iy$.
When $X$ is connected topological space, Debreu proved that weak order, independent, and ...
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The impact of private vs state ownership on social welfare: Theory
There are plenty of theories on private ownership, for example: State versus Private Ownership.
There are also plenty of theories on social welfare, for example Pareto efficiency, Samuelson, Arrow's ...
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Where can I learn about what exactly effects currency values?
So I will admit I am very ignorant of economics, but I am interested in how current events effect currency value.
For example, Saudi Arabia announces it will not renew the petrodollar deal with the US ...
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Where does Arrow’s Impossibility Theorem standard proof rely on the existence of at least three alternatives?
I am trying to understand the proof of the world-famous Arrow’s Impossibility Theorem. To do that, I have been relying on Wikipedia’s proof by decisive coalition, as well as on the proof provided by ...
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Kohlberg-Mertens theorem
I am trying to understand the Kohlberg-Mertens theorem. Here is the context and the theorem. We fix $N$ a set of players and $S_i$ the finite set of actions of each players with $\lvert S_i\rvert =m_i$...
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Random Utility Model Multiple Choice Question. Which one is correct?
In this random utility model, which of the five statements is true? I've been thinking about this question ever since the exam... I said (B).
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