<p>Suppose that we have a communication game of <span class="math-container">$N$</span> players. Every player <span class="math-container">$i$</span> receives a tuple of <span class="math-container">$N-1$</span> messages that is a recommended strategy of the other player <span class="math-container">$j$</span>. I define the recommended strategies that a player receives as <span class="math-container">$r_i=(g_j)_{j\in N-\{i\}}$</span>. I want to define a map that is called majority functions such that it will take as input the recommend strategies and give back a proportion, that is a number in <span class="math-container">$[0,1]$</span>. If <span class="math-container">$maj&gt;1/2$</span> then player O will choose the recommend strategy as her strategy. How do I define the majority function?</p>

CC BY-SA 4.0
2022-02-02T00:19:16.407Z
Shouldn't your function specify a proportion for each possible strategy that could be suggested?
Michael Greinecker
CC BY-SA 4.0
2022-02-04T14:04:38.260Z
Yes you are right...
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<mathematical-economics><game-theory>
How to define a majority function in a communication game?
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# How to define a majority function in a communication game?

(Asked by: username_0 on 2022-02-01)

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 strategies that a player receives as $r\_i=(g\_j)\_{j\in N-\{i\}}$. I want to define a map that is called majority functions such that it will take as input the recommend strategies and give back a proportion, that is a number in $[0,1]$. If $maj>1/2$ then player O will choose the recommend strategy as her strategy. How do I define the majority function?

**Tags:** mathematical-economics, game-theory

> **Comments:**
> **username_1**: Shouldn't your function specify a proportion for each possible strategy that could be suggested?  
> **username_0**: Yes you are right...  

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## 0 answers

