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There is a unique equilibrium in pure strategies, and many equilibria in mixed strategies.
The models I worked out left some loose ends hanging; in particular, they typically had many equilibria.
Any given contest could have many equilibria; which one emerges depends on how the contestants' strategies evolve over time.
Real agents acting within a multiagent system face multiple problems: the agents may have incomplete information about the preferences and rationality of the other agents in the game, computing the equilibria can be computationally complex, and there might be many equilibria from which to choose.
It may also be the case, and we'll see some examples of this on the homework assignment, that the many equilibria in the second stage of the game are not such that a punishment for Patrick is also a punishment for me.
(b) If β 1 − A 1 = 0, then there exist infinitely many equilibria along the nonnegative x-axis.
Similar(45)
The model is presented as a challenging system for equilibrium computations, since many metastable equilibria with two or three phases can be found in the vicinity of the five-phase condition.
However, the equal split is only one of infinitely many Nash equilibria.
The repeated PD has many Nash equilibria that involve cooperation rather than defection.
An analogous question arises for game theory more generally, since a game may have many Nash equilibria.
So, even though there are many distinct equilibria, they are quite similar in terms of topology.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com