# Questions tagged [mathematical-economics]

The application of mathematical methods to represent theories and analyze problems in economics.

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### Expected payoff calculation difficulty in the Bayesian environment of Bergemman and Morris

Suppose that we have two states of the world equally likely to occur, and say $\psi$ is the common prior of the state $\theta\in\Theta=\{G,B\}$. The types of the players are given by the following ...
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### Negative Definite vs Semi-definite Hessian - Sufficient vs Necessary conditions?

When a Hessian matrix is negative definite at a critical point then that critical point is a local maximum (Sufficient Condition). As per the calculus wiki: Link, when the Hessian is negative semi-...
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### Dinamic economics, differential equiations [duplicate]

I'm investing for models of system of differential equations, that can be applied in economics. I have to make an analysis of the model, for an exposition. Now I'm trying to choose a model to present, ...
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### Model economics with diffential equations [duplicate]

I'm looking for suggestions of models of system of differential equations applied in economics or maybe in another area of interes. I have to make an analysis of a model, now I'm in the process of ...
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### Bayesian update in the beliefs about the signals

Suppose that we have tow states of the world $\omega_1$ and $\omega_2$, where $p(\omega_1)=p(\omega_1)=1/2$ and there are three different signals, $s_H,s_M,s_L$ that are equally likely to occur in ...
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### Information acquisition problem and desing of information

I am searching some details about the information acquisition problem. I want to understand what this is about and where can I find the beginning of this literature. I think this problem is some kind ...
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### Strategy definition in an extensive form game

How a (pure ) strategy is defined in an extension form game with information sets? I would like to have both an intuitive and a formal definition. Thank you in advance!
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### Proove that for every Nash equilibrium $\sigma^*$, the probability distribution $p_{\sigma^*}$ is a correlated equilibrium

This is a classic theorem in game theory, that is left as an excersice in my textbook. Can anybody proove it? I can not thing of anything excpet from the definition of the correlated equilibrium in ...
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### What is the meaning of the support set in game theory?

What is the meaning of the support set in game theory? I have seen it, in many papers, however none there explains how did they find it or why did the define it in a specific way. I understand that ...
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### Kronecker Product in Econometrics

I wondered if someone could explain the motivation for using a Kronecker product in econometrics. I understand that if we had two matrices, A + B, then the Kronecker would take each element from A and ...
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### Does using different Analysis Methods give the same better alternative to choose between economic projects?

Will all analysis methods (PW-FW-AW-ROR-B/C) that we can use for determining project acceptability on an economic basis gives you the correct same-alternative for the same cash-flow always?
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### Mathematically show that MC cross AC can only occur on upward sloping part of MC curve

Question as in title, does anyone know how to show it? with mean value theorem? I can prove that AC is minimised at MC=AC but I'm not sure how to show MC can only cross AC at upward-sloping point of ...
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### Event study on market revenue

I am interested in performing an event study. Can it be modified to assess the impact of an event/s on a market's revenue as opposed to the value of a firm? Thanks
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### Olivier Gossner - Secure Protocols or How Communication Generates Correlation

The paper of Olivier Gossner in Security Protocols in 1998 has some definitions that confuse me too much. I will cite here these definitions and my questions and I hope someone is familiar with these ...
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### Alternative way to calculate the symmetric BNE of the game

My problem. Consider the following auction for a single object. There are $n \geq 2$ bidders. They submit their bids simultaneously. The object is allocated to the player who submits the largest bid. ...
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### What does "dependent and independent variables only vary at the ($g,t$) level mean?

From de Chaisemartin and D'Haultfoeuille 2020, p.2969 I saw an equation $D_{g,t}$ $=$ $\alpha$ + $\gamma_g$ + $\delta_t$ + $\epsilon_{g,t}$ $D_{g,t}$ is the treatment in group $g$ at period $t$ They ...
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