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Tagged with differential-games dynamical-systems
3
questions
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System of quadratic autonomous ODEs - convexity of the solution curve
Crossposted on MathOverflow
Problem:
For a given parameter $a>0$, consider the following autonomous system of ODEs for $(x,y,z): \mathbb R_+\to [0,1)^3$:
\begin{align*}
\dot{x}_t &= (1-x_t) (...
- 1,590
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
1
vote
1
answer
34
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Unit of time and normalization of time preference rates
Consider an infinite horizon cake eating differential game described by
\begin{align}
&\max_{u_1(t)} \int_0^\infty{e^{-r_1 t}\ln(u_1(t))dt}\\
&\max_{u_2(t)} \int_0^\infty{e^{-r_2 t}\ln(u_2(t))...
- 771