Memory-based stag hunt game on regular lattices

Dong, Yukun; Xu, Hedong; Fan, Shuxiang

doi:10.1016/j.physa.2018.12.025

Cited by 31 publications

(4 citation statements)

References 72 publications

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“…Despite some progress, the majority of these research studies decided to update the strategy based on imitation, such as the Fermi rule [6,8,15,36,37] or Imitation Max [2,13,[31][32][33]. However, in the real scenarios, individuals have various decision-making methods.…”

Section: Introductionmentioning

confidence: 99%

Extending Q -learning to continuous and mixed strategy games based on spatial reciprocity

et al. 2023

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The discrete strategy game, in which agents can only choose cooperation or defection, has received lots of attention. However, this hypothesis seems implausible in the real world, where choices may be continuous or mixed. Furthermore, when applying Q -learning to continuous or mixed strategy games, one of the challenges is that the learning space grows drastically as the number of states and actions rises. So, in this article, we redesign the Q -learning method by considering the spatial reciprocity, in which agents simply interact with their four neighbours to get the reward and learn the action by taking neighbours’ strategy into account. As a result, the learning state and action space is transformed into a 5 × 5 table that stores the state and action of the focal agent and its four neighbours, avoiding the curse of dimensionality caused by a continuous or mixed strategy game. The numerical simulation results reveal the striking differences between the three classes of games. In detail, the discrete strategy game is more vulnerable to the setting of relevant parameters, whereas the other two strategy games are relatively stable. At the same time, in terms of promoting cooperation, a mixed strategy game is always better than a continuous one.

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Section: Introductionmentioning

confidence: 99%

Extending Q -learning to continuous and mixed strategy games based on spatial reciprocity

et al. 2023

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“…The authors establish the universal characteristics of cooperative dynamics in different scenarios for the N -person Stag-Hunt Game. Dong et al [6] propose a memory bases Stag-Hunt Game. The work is concerned with the study of evolutionary games with memory effect.…”

Section: Introductionmentioning

confidence: 99%

Meta-Game Theoretic Analysis of Some Standard Game Theoretic Problems

Singh¹,

Srivastava²,

Patvardhan³

2023

jnanabha

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Meta game theory is a non-quantitative reconstruction of mathematical game theory. This paper attempts to adapt meta-game theory for conflict analysis. A conflict is a situation where parties with opposing goals affect one another. A simple approach for performing meta-game analysis is adapted in this paper and illustrated on various games standard in game theory literature. The approach presented yields the desired results, although the computation required is much lesser than the standard Game theory analysis. Even a person without detailed knowledge about meta game analysis or game theory can implement this method.

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“…Convexity and normality of IFVs are useful in many scenarios especially in problems related to maximization and minimizations. Many games like memory-based stag hunt game (Dong et al 2019), multi-criteria game model with Z-numbers (Peng et al 2019) and memory-based snowdrift game (Shu et al 2018) are a few scenarios among numerous others where T S algebra and proposed theory can be applied.…”

Section: Introductionmentioning

confidence: 99%

The algebraic and lattice structures of type-2 intuitionistic fuzzy sets

et al. 2019

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Type-2 intuitionistic fuzzy sets are proposed as functions from non empty set U to T T where T = {(μ, ν) : μ + ν ≤ 1, μ ≥ 0, ν ≥ 0} and T T is the set of all mappings from T to T. The members of T T are called intuitionistic fuzzy values (IFV). In this paper, we develop a mathematical framework for IFVs by defining a set of generalized operations on T T and proved it to be an algebra. The other important properties like convexity, normality of IFVs and many important subalgebras are also explored and studied. Furthermore, two partial orders based on generalized operations are defined, which enable us to study the lattices in T T .

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Memory-based stag hunt game on regular lattices

Cited by 31 publications

References 72 publications

Extending Q -learning to continuous and mixed strategy games based on spatial reciprocity

Extending Q -learning to continuous and mixed strategy games based on spatial reciprocity

Meta-Game Theoretic Analysis of Some Standard Game Theoretic Problems

The algebraic and lattice structures of type-2 intuitionistic fuzzy sets

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