Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic Games among Teams with Delayed Intra-Team Information Sharing   We analyze a class of stochastic dynamic games among teams with asymmetric
information, where members of a team share their observations internally with a
delay of $d$. Each team is associated with a controlled Markov Chain, whose
dynamics are coupled through the players' actions. These games exhibit
challenges in both theory and practice due to the presence of signaling and the
increasing domain of information over time. We develop a general approach to
characterize a subset of Nash Equilibria where the agents can use a compressed
version of their information, instead of the full information, to choose their
actions. We identify two subclasses of strategies: Sufficient Private
Information Based (SPIB) strategies, which only compress private information,
and Compressed Information Based (CIB) strategies, which compress both common
and private information. We show that while SPIB-strategy-based equilibria
always exist, the same is not true for CIB-strategy-based equilibria. We
develop a backward inductive sequential procedure, whose solution (if it
exists) provides a CIB strategy-based equilibrium. We identify some instances
where we can guarantee the existence of a solution to the above procedure. Our
results highlight the tension among compression of information, existence of
(compression based) equilibria, and backward inductive sequential computation
of such equilibria in stochastic dynamic games with asymmetric information.

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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: atom-ph