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### The notation cl co (A)

I stumbled upon this notation, (cl co(A+C), while reading "Set Optimization—A Rather Short Introduction" by Andreas H. Hamel, Frank Heyde, Andreas Löhne, Birgit Rudloff and Carola Schrage. Is it ...
55 views

### How does expected utility theory treat losses?

I've been reading about prospect theory lately and have read often that prospect theory predicts people will be risk averse in gains and risk seeking in losses. This statement is typically ...
33 views

### Rotation of Quasilinear Utility

Let $u(x,y)=f(x)+y$ be a quasilinear utility. Now we rotate it by 45 degrees, (such that the $x-$axis becomes the direction of $(1,1)$) $v(x,y)=f(x-y)+x+y$. Is $v$ also a quasilinear utility? What is ...
57 views

### Envelope Theorem in Hopkins and Kornienko (2010)

This is from Hopkins and Kornienko (2010). In this model, $x$ is investments, $s$ is status, and $y=z-x$ is leisure, where $z$ is endowments. $x(r)$ is the optimal investment, and the relative ...
71 views

### GARP and SARP assumed mononticity?

Monotonicity means the decision maker prefer more goods than less. It is not mentioned in textbook that SARP and GARP preasumed monotonicity. GARP: if $a$ is indirectly revealed preferred to $b$, ...
162 views

### Is First Order Stochastic Dominance (FOSD) relation convex?

A convex relation is that $x\succeq y$ implies $\alpha x+(1-\alpha)y\succeq y$. Let $>_{FOSD}$ be $\succ$, is the FOSD convex? Intuitively it seems convex.
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### Implication of the concavity of u

Suppose that we have the following inequality: $u( y- d) - u(y-d') \ge u(y' - d) - u( y' -d')$. The concavity of $u$ together with $y\le y'$ then implies that $d \le d'$. I sometimes come ...
45 views

### Calculating Market Concentration without sales data

I want to calculate market concentration (HHI and C4) but I don't have sales data. Is it accurate to use the share of establishments of each firm as a proxy for market power? Could you list some ...
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### On closedness: commodity space

In Intriligator (2002, p. 143) we find the following statement: \begin{align} C = \{(x_1,x_2,\ldots,x_n) : x_j \geq 0,~j=1,2,\ldots,n\} \subset [0,\infty)^n \end{align} Thus commodity space ...
167 views

### Any information on a toy economy with 3 types of agents in it

I was thinking about a theoretical economy where there are 3 types of roles for the agents. They can be : workers : produce good A criminals : steal good A cops : protects good A without going into ...
194 views

### What term/theory describes more efficient utilization of a resource?

I may be asking the wrong question here, but I wonder if there is a term/theory that describes/studies the evolution of an economy that continually improves the utilization and allocation of certain ...
396 views

### Intuition behind the linkage principle

An important result in auction theory is Milgrom & Weber's linkage principle, which, roughly, holds that the expected revenue from an auction is higher is the seller commits ex ante to reveal as ...