Bargaining Game with Altruistic and Spiteful Preferences

Feng, Zhongwei; Tan, Chunqiao; Zhang, Jinchun; Zeng, Qiang

doi:10.1007/s10726-020-09685-z

Cited by 11 publications

(3 citation statements)

References 26 publications

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“…It should be noted that the discount factor here is different from the discount rate in finance. It represents the "patience" or "bargaining power" of the participants and is generally related to the competitiveness, negotiation ability, and risk preference of the participants [43,44]. We assume that the discount factors of the supplier and the manufacturer are σ S and Mathematical Problems in Engineering…”

Section: Profit-distribution Contract Designmentioning

confidence: 99%

Differential Game Analysis of the Green Innovation Cooperation in Supply Chain under the Background of Dual-Driving

Zhu

Zhang

et al. 2021

Mathematical Problems in Engineering

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Taking government environmental regulation and consumer’s green preference into a unified analytical framework, this study constructed a differential game model. With the joint effect of supplier and manufacturer green innovation efforts on the dynamic change of the product’s green level, it compared and analyzed the long-term dynamic equilibrium strategies of green innovation cooperation in a supply chain under decentralized and centralized decision-making situations. Accordingly, a scientific and reasonable profit-distribution contract was then proposed. On this basis, it further carried out a numerical simulation analysis on the dual-driving effects of the government and market. The results showed that the scientific and reasonable profit-distribution contract under the centralized decision-making situation, which was designed by using the Rubinstein bargaining game model, could effectively ensure that the supply chain members’ sharing profits would realize "Dual Pareto Improvements." With the increase of the environmental regulation’s intensity, the product’s green level kept rising and tended to be stable. However, the overall equilibrium profit of the supply chain was characterized by "U" fluctuation, which first descended and then ascended. In addition, the product’s green level, the green innovation investment and equilibrium (distributed) profits of supply chain members, and the overall profits of supply chain all increased with the consumers’ green preference.

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Section: Profit-distribution Contract Designmentioning

confidence: 99%

Differential Game Analysis of the Green Innovation Cooperation in Supply Chain under the Background of Dual-Driving

Zhu

Zhang

et al. 2021

Mathematical Problems in Engineering

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“…In game theory, several approaches [6,22] explore altruistic and spiteful actions (the term of art for cooperation and conflict) by means of linear combinations of pay-offs. Work of Levine [6] is mathematically equivalent to the level 1 Social MDPs defined in Tejwani et al [5], while level 2 Social MDPs seem to have no counterpart in the current economics literature.…”

Section: Related Workmentioning

confidence: 99%

Incorporating Rich Social Interactions Into MDPs

Tejwani¹,

Kuo²,

Shu³

et al. 2021

Preprint

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Much of what we do as humans is engage socially with other agents, a skill that robots must also eventually possess. We demonstrate that a rich theory of social interactions originating from microsociology and economics can be formalized by extending a nested MDP where agents reason about arbitrary functions of each other's hidden rewards. This extended Social MDP allows us to encode the five basic interactions that underlie microsociology: cooperation, conflict, coercion, competition, and exchange. The result is a robotic agent capable of executing social interactions zero-shot in new environments; like humans it can engage socially in novel ways even without a single example of that social interaction. Moreover, the judgments of these Social MDPs align closely with those of humans when considering which social interaction is taking place in an environment. This method both sheds light on the nature of social interactions, by providing concrete mathematical definitions, and brings rich social interactions into a mathematical framework that has proven to be natural for robotics, MDPs.

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“…The recent approach [43] uses a logistic regression for modelling the opponent, that requires collecting significant amount of data for learning and initialisation. Paper [44] uses a similar utility based on the bargaining principles though constructs a subgame that relies on the perfect equilibrium. The closely related work, dealt with opponent modelling, is probably [45].…”

Section: Introductionmentioning

confidence: 99%

Indirect Dynamic Negotiation in the Nash Demand Game

2022

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The paper addresses a problem of sequential bilateral bargaining with incomplete information. We proposed a decision model that helps agents to successfully bargain by performing indirect negotiation and learning the opponent's model. Methodologically the paper casts heuristically-motivated bargaining of a self-interested independent player into a framework of Bayesian learning and Markov decision processes. The special form of the reward implicitly motivates the players to negotiate indirectly, via closed-loop interaction. We illustrate the approach by applying our model to the Nash demand game, which is an abstract model of bargaining. The results indicate that the established negotiation: i) leads to coordinating players' actions; ii) results in maximising success rate of the game and iii) brings more individual profit to the players.INDEX TERMS Learning, Markov decision process, Nash demand game, Negotiation.

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Bargaining Game with Altruistic and Spiteful Preferences

Cited by 11 publications

References 26 publications

Differential Game Analysis of the Green Innovation Cooperation in Supply Chain under the Background of Dual-Driving

Differential Game Analysis of the Green Innovation Cooperation in Supply Chain under the Background of Dual-Driving

Incorporating Rich Social Interactions Into MDPs

Indirect Dynamic Negotiation in the Nash Demand Game

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