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Questions tagged [dominant-strategy]

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3
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1answer
36 views

Rationalizable action profiles in nice symmetric games

Suppose we have a nice symmetric game with $n$ players, i.e. each player's action space is the same compact interval of the real line. I am tasked with identifying all of the rationalizable action ...
2
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1answer
29 views

Term for the phenomenon when an undesirable but competitive strategy dominates

For example, in some sports, the use performance enhancing drugs is considered undesirable, but it is difficult or impossible to be competitive unless you use performance enhancing drugs. So, the use ...
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1answer
46 views

Is this market monopoly or duopoly?

Could you help me to identify monopoly, because I got confused. There is a company with market share of 54 %. The second one has market share of 21 %. Can this market be characterized as monopoly or ...
2
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1answer
63 views

Incentive compatibility: Weakly dominant strategy versus Nash equilibrium?

When it comes to proving that a mechanism e.g. auction is incentive compatible this is the approach I'm using: I break down all the cases that might happen if the agent reports an untruthful value to ...
1
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2answers
186 views

Derivation of Equilibrium Strategy in 1st-price Auction?

Hey, everyone. I desperately need help understanding some math in auction theory. I have been writing a paper as an undergrad for auction theory, and after all of my research I just cannot understand ...
1
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2answers
2k views

Nash Equilibrium and Dominant Strategy

If I have a game that goes as follow: Player 1 is the row player and player 2 is the column player. I think that the Nash Equilibria should be (10, 5) and (5, 10), since neither of the player has ...
1
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0answers
22 views

Reference for truthful Nash on cartesian domain implies strategy-proofness

Consider a mechanism $M: \mathcal{R} \rightarrow X$, where $\mathcal{R}$ is a domain of preference profiles $R = (R_1,\dots, R_n)$, and $X$ is a set of outcomes. I believe that the following is a ...