Questions tagged [differential-games]
Differential Game Theory studies conflict in dynamical systems described by differential equations.
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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.
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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 ...
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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 ...
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Caracterization of optimal strategy in zero-sum 2 players differential stochastic game
Let a $(\Omega,\Sigma,(\mathcal{F_t})_{0\leq t\leq 1},P)$ a probability space where $\Omega$ is the space of continuous functions $f:[0, 1]\rightarrow \mathbb{R}^n$, $(\mathcal{F_t})_{0\leq t\leq 1}$ ...
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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 ...
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Question about viscosity solutions to Hamilton-Jacobi-Isaacs equation。
Recently，I am studying differential game, especially two person zero sum differential game. And I am quite confused that why only the value functions defined in terms of non-anticipating strategies(...
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Introductory level text for differential games
I am interested in studying differential games by myself. An introductory textbook will be great. For introductory, I mean that the book shall have the definitions to concept and theorem (with proof) ...
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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 ...
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Escaping from a circle of fat lions.
You are surrounded, by X fat lions equally spaced around a circle of radius 200 meters in an open field. While making your escape plan you note several things: they are slow, they can only travel at ...
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Four-Dogs Pursuit [closed]
Four dogs start at the corners of square $ABCD$ (labelled anti-clockwise). Running anti-clockwise, the dog starting at $A$ pursues the dog starting at $B$, which pursues the dog starting at $C$, which ...
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Which way should you run from the lions?
This is a fun problem that I saw somewhere on the internet a long time ago:
Suppose you are at the center of an equilateral triangle with side length $s$. At each of its vertices, there is a lion ...
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Does Tom catch Jerry?
Tom has Jerry backed against a wall. Tom is distance 1 away (perpendicularly). At time t=0, Jerry runs along the wall. Tom runs directly towards Jerry. Tom always runs directly towards Jerry. Tom and ...
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Run away from lions in a cage
I came across an interesting problem:
There is a round cage and you are in it. Also two lions are in this cage
too. The start position is that the distance between you and both lions is
the ...
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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 ...
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Chased by a lion and other pursuit-evasion problems
I am looking for a reference (book or article) that poses a problem that seems to be a classic, in that I've heard it posed many times, but that I've never seen written anywhere: that of the ...
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