Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Semi-Potential for Finite and Infinite Sequential Games (Extended
  Abstract)   We consider a dynamical approach to sequential games. By restricting the
convertibility relation over strategy profiles, we obtain a semi-potential (in
the sense of Kukushkin), and we show that in finite games the corresponding
restriction of better-response dynamics will converge to a Nash equilibrium in
quadratic time. Convergence happens on a per-player basis, and even in the
presence of players with cyclic preferences, the players with acyclic
preferences will stabilize. Thus, we obtain a candidate notion for rationality
in the presence of irrational agents. Moreover, the restriction of
convertibility can be justified by a conservative updating of beliefs about the
other players strategies.
  For infinite sequential games we can retain convergence to a Nash equilibrium
(in some sense), if the preferences are given by continuous payoff functions;
or obtain a transfinite convergence if the outcome sets of the game are
Delta^0_2 sets.

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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex