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The application of mathematical methods to represent theories and analyze problems in economics.
0
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28
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How to define a majority function in a communication game?
Suppose that we have a communication game of $N$ players. Every player $i$ receives a tuple of $N-1$ messages that is a recommended strategy of the other player $j$. I define the recommended strategie …
2
votes
1
answer
217
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Why do we need the specific utility assumption?
In many microeconomic models, we read the assumption that agents have CARA normal utility preferences. We need the assumption of the utility to do pricing, but should someone do differently?
Namely, …
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1
answer
65
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Characteristics of market liquidity
The characteristics of market liquidity, accoridng to Kyle, are tightness of the market, depth of the marekt and resiliency of prices. By referring to tightness, it descriebes the cost of turning arou …
1
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0
answers
50
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Private signals [closed]
Following the literature of information asymmetry (see in Kyle among others), we have seen that many papers introduce a private signal, that is
$$S=\tilde{v}+\tilde{e}$$
where, $(\tilde{v},\tilde{e}) …
2
votes
2
answers
276
views
Has anybody seen anything this expression before?
Suppose that $z(\cdot)$ is the demand function of an individual (consumer/investor) and $p$ is the price of the commodity/asset demanded. Does anybody know what is the intuition behind the following e …
-1
votes
1
answer
57
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Slope vs elasticity of demand function - Is it the same thing?
Do the slope of a linear demand function and the elastisicy of demand coincide when we use specific preferences for pricing. As a paradigm, if we consider the case of CARA normal preferences, by solvi …
2
votes
1
answer
450
views
Defining the set of strategies, mixed strategies and the simplex set
Suppose that we have a two players game, where $(S^i)_{i=1}^2$ denotes the set of pure strategies for each one. The set of mixed strategies of player $i$ is denoted by $\Sigma^i=\Delta(S^i)$ while $\S …
2
votes
1
answer
64
views
Is the following claim written with the right way?
I have a simple question though confusio for me. In game theory we usully write thet a strategy is a mapping from the set of types $T$ to the simplex set of actions (refering to mixed mixed strategies …
1
vote
1
answer
57
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Informed traders do know the cross section of the privately known signal between each other
I am having the following setup of privately known signals and I am trying to understand an assumption. Here, I quote the setup.
Consider two agents idexed by $i=\{1,2\}$ and each one observes some pr …
3
votes
1
answer
362
views
Certainty Equivalent
The certainty equivalent is a guaranteed return that someone would accept now, rather than taking a chance on a higher, but uncertain, return in the future. Otherwise, some definitions say that the ce …
2
votes
1
answer
5k
views
What is the difference between the demand schedule and the demand curve?
What is the difference between the demand schedule and the demand curve that a monopolist or monopsonist has? Could someone provide details for both cases or even some paradigm or a graph. I can not c …
2
votes
0
answers
29
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Pre-play, interim-play, intra-play communication games
I have a question that seems easy but I want some clarification. Suppose that we have a communication Bayesian game. The game starts when the players learn their prior infornation and after this they …
2
votes
2
answers
809
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Game theory and differential equations
Does anybody know, any (advanced/classic) textbook that combines game theory with differential equations in mathematical economics. Specifically, I an interested in asymmetric information problems.
2
votes
1
answer
103
views
Definition of a $k-$strong Nash Equilibrium
Consider a game $G=(N, (A^i)_{i\in N}, (g^i)_{i\in N})$, $N=\{1,2,\dots,n\}$, $A=\Pi_{i\in N}A_i$ is the set of actions and $g^i:A\to \mathbb{R}$ is the payoff function. The latter can be extended fro …
2
votes
1
answer
187
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Understanding the properties of extensive form games
In Heller et al, they use the Osborne and Rubinstein formal definition for the extensive form games with public information. To some point they refer to the following two properties
$P$ is a mapping …