Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Impact of Irrational Behaviours in the Optional Prisoner's Dilemma
  with Game-Environment Feedback   In the optional prisoner's dilemma (OPD), players can choose to cooperate and
defect as usual, but can also abstain as a third possible strategy. This
strategy models the players' participation in the game and is a relevant aspect
in many settings, e.g. social networks or opinion dynamics where abstention is
an option during an election. In this paper, we provide a formulation of the
OPD where we consider irrational behaviours in the population inspired by
prospect theory. Prospect theory has gained increasing popularity in recent
times thanks to its ability to capture aspects such as reference dependence or
loss aversion which are common in human behaviour. This element is original in
our formulation of the game and is incorporated in our framework through
pairwise comparison dynamics. Recently, the impact of the environment has been
studied in the form of feedback on the population dynamics. Another element of
novelty in our work is the extension of the game-environment feedback to the
OPD in two forms of dynamics, the replicator and the pairwise comparison. The
contribution of this paper is threefold. First, we propose a modelling
framework where prospect theory is used to capture irrational behaviours in an
evolutionary game with game-environment feedback. Second, we carry out the
stability analysis of the system equilibria and discuss the oscillating
behaviours arising from the game-environment feedback. Finally, we extend our
previous results to the OPD and we discuss the main differences between the
model resulting from the replicator dynamics and the one resulting from the
pairwise comparison dynamics.

9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: physics
2
The categories of this paper are: math
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The categories of this paper are: hep-ex