All Questions
Tagged with differential-games game-theory
13
questions
0
votes
0
answers
24
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Maximizing a function with binary indicators
I am an econ undergrad trying to understand how to maximize this payoff function, which includes binary components. I want to solve this equation using backwards induction, so I want to maximize the ...
14
votes
2
answers
642
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How will the wolf catch the sheep in minimum time?
In $\mathbb{R}^2$, a wolf is trying to catch two sheep. At time $0$ the wolf's at $(0,0)$ and the sheep are at $(1,0)$. The animals are moving continuously and react instantaneously according to each ...
- 1,919
1
vote
1
answer
130
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Upper and Lower Games in Zero-Sum Games
I am working on some theory related to controls in the context of stochastic games, and I am a bit confused on some terminologies for zero-sum games.
Suppose we have a zero-sum game with two players.
...
- 295
2
votes
1
answer
77
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Do hybrid games exist?
I'm new to game theory. So far, I know that we have games with finite strategy sets and games with continuous strategy sets. I was wondering if there are any games in which some players have finite ...
- 21
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234
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Pursuit-evasion game with n pursuers and one evader
Assume $n$ pursuers ($P_i$) at the vertices of an $n$ sided regular polygon with
the evader ($E$) at the centre. For what all $n$ can be the evader be caught?
Pursuers and evader have same speed
...
- 2,032
9
votes
1
answer
520
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Meaningful connections between game theory and differential geometry
I'm a 3rd year undergrad in mathematics who has recently developed a burgeoning interest in differential geometry. I'm also quite interested in dynamical systems and game theory, both of which are ...
- 141
2
votes
1
answer
91
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Clarification of notation used in differential games
I'm working through Rufus Isaacs's work on differential games and I need clarification on the notation used. Some context: The Value of the game is to be the minmax of the payoff which symbolically is ...
- 660
0
votes
1
answer
193
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Bayesian Stackelberg game
Can anybody provide me a little example of bayesian stackelberg game with the solution.
I know how to solve Stackelberg game using backward induction but have no idea about bayesian.
- 188
4
votes
1
answer
340
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Game Theory Reccomendation, Mean Field Theory
I'm about to do a sort of reading course with a mathematics professor wherein I read and teach him about Game Theory. He claims not to know Game Theory. After that, we aim to read about Mean Field ...
- 2,744
3
votes
0
answers
116
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Zero-sum differential game
We consider a zero sum differnetial game.
Let $x \in (0, M] \subset \mathbb R_{++}$ denote the state and $(u,v) \in [0,x]$ the control of player 1 and 2 respectively with $u + v \leq x$.
Denote the ...
- 771
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47
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Nash Equilibrium in Normal game as a result of learning in Stochastic game
Lets have a Cournot oligopoly model. With two competitors, there is one Nash equilibrium. The thought experiment that can lead us to this result is for example the Tatonnement process, where there are ...
- 145
1
vote
1
answer
730
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Fields of Interest in Game Theory for a Mathematics Dissertation
So In my final year of my Undergraduate Degree (Studying Mathematics and Economics) I have decided to focus my Undergraduate project on Game Theory.
I have done quite a bit of research, and I get ...
22
votes
8
answers
5k
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A lady and a monster
A famous problem:
A lady is in the center of the circular lake and a monster is on the boundary of the lake. The speed of the monster is $v_m$, and the speed of the swimming lady is $v_l$. The goal ...
- 36.2k