scholarly journals Stochastic Brownian Game of Absolute Dominance

2014 ◽  
Vol 51 (2) ◽  
pp. 436-452
Author(s):  
Shangzhen Luo
Keyword(s):  
Nash Equilibrium ◽  
Value Function ◽  
The Other ◽  
Equilibrium Strategy ◽  
Minimax Criterion ◽  
Nash Equilibrium Strategy ◽  
Suitable Parameter ◽  
The Difference ◽  
The Value Function ◽  
Absolute Dominance

In this paper we study a reinsurance game between two insurers whose surplus processes are modeled by arithmetic Brownian motions. We assume a minimax criterion in the game. One insurer tries to maximize the probability of absolute dominance while the other tries to minimize it through reinsurance control. Here absolute dominance is defined as the event that liminf of the difference of the surplus levels tends to -∞. Under suitable parameter conditions, the game is solved with the value function and the Nash equilibrium strategy given in explicit form.

Stochastic Brownian Game of Absolute Dominance

2014 ◽  
Vol 51 (02) ◽  
pp. 436-452 ◽  
Author(s):  
Shangzhen Luo
Keyword(s):  
Nash Equilibrium ◽  
Value Function ◽  
The Other ◽  
Equilibrium Strategy ◽  
Minimax Criterion ◽  
Nash Equilibrium Strategy ◽  
Suitable Parameter ◽  
The Difference ◽  
The Value Function ◽  
Absolute Dominance

In this paper we study a reinsurance game between two insurers whose surplus processes are modeled by arithmetic Brownian motions. We assume a minimax criterion in the game. One insurer tries to maximize the probability of absolute dominance while the other tries to minimize it through reinsurance control. Here absolute dominance is defined as the event that liminf of the difference of the surplus levels tends to -∞. Under suitable parameter conditions, the game is solved with the value function and the Nash equilibrium strategy given in explicit form.

scholarly journals Stochastic Brownian Game of Absolute Dominance

2014 ◽  
Vol 51 (02) ◽  
pp. 436-452
Author(s):  
Shangzhen Luo
Keyword(s):  
Nash Equilibrium ◽  
Value Function ◽  
The Other ◽  
Equilibrium Strategy ◽  
Minimax Criterion ◽  
Nash Equilibrium Strategy ◽  
Suitable Parameter ◽  
The Difference ◽  
The Value Function ◽  
Absolute Dominance

In this paper we study a reinsurance game between two insurers whose surplus processes are modeled by arithmetic Brownian motions. We assume a minimax criterion in the game. One insurer tries to maximize the probability of absolute dominance while the other tries to minimize it through reinsurance control. Here absolute dominance is defined as the event that liminf of the difference of the surplus levels tends to -∞. Under suitable parameter conditions, the game is solved with the value function and the Nash equilibrium strategy given in explicit form.

scholarly journals Spatial correlated games

2017 ◽  
Vol 4 (11) ◽  
pp. 171361 ◽  
Author(s):  
Ramón Alonso-Sanz
Keyword(s):  
Nash Equilibrium ◽  
Equilibrium Strategy ◽  
Variable Degree ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Nash Equilibrium Strategy ◽  
Link Type

This article studies correlated two-person games constructed from games with independent players as proposed in Iqbal et al. (2016 R. Soc. open sci. 3 , 150477. ( doi:10.1098/rsos.150477 )). The games are played in a collective manner, both in a two-dimensional lattice where the players interact with their neighbours, and with players interacting at random. Four game types are scrutinized in iterated games where the players are allowed to change their strategies, adopting that of their best paid mate neighbour. Particular attention is paid in the study to the effect of a variable degree of correlation on Nash equilibrium strategy pairs.

scholarly journals Non-Cooperative Spectrum Access Strategy Based on Impatient Behavior of Secondary Users in Cognitive Radio Networks

Electronics ◽  
2019 ◽  
Vol 8 (9) ◽  
pp. 995 ◽  
Author(s):  
Zeng ◽  
Liu ◽  
Wang ◽  
Lan
Keyword(s):  
Cognitive Radio ◽  
Nash Equilibrium ◽  
Learning Ability ◽  
Equilibrium Strategy ◽  
Spectrum Access ◽  
Secondary Users ◽  
Nash Equilibrium Strategy ◽  
Pricing Scheme ◽  
The Social ◽  
Limited Spectrum

In the cognitive radio network (CRN), secondary users (SUs) compete for limited spectrum resources, so the spectrum access process of SUs can be regarded as a non-cooperative game. With enough artificial intelligence (AI), SUs can adopt certain spectrum access strategies through their learning ability, so as to improve their own benefit. Taking into account the impatience of the SUs with the waiting time to access the spectrum and the fact that the primary users (PUs) have preemptive priority to use the licensed spectrum in the CRN, this paper proposed the repairable queueing model with balking and reneging to investigate the spectrum access. Based on the utility function from an economic perspective, the relationship between the Nash equilibrium and the socially optimal spectrum access strategy of SUs was studied through the analysis of the system model. Then a reasonable spectrum pricing scheme was proposed to maximize the social benefits. Simulation results show that the proposed access mechanism can realize the consistency of Nash equilibrium strategy and social optimal strategy to maximize the benefits of the whole cognitive system.

R&D INVESTMENTS AS PREBARGAINING STRATEGIES

2014 ◽  
Vol 16 (03) ◽  
pp. 1450003 ◽  
Author(s):  
WILFRIED PAUWELS ◽  
PETER M. KORT ◽  
EVE VANHAECHT
Keyword(s):  
Nash Equilibrium ◽  
Low Cost ◽  
Unit Cost ◽  
The Other ◽  
Nash Bargaining ◽  
Unit Costs ◽  
Bargaining Outcome ◽  
Nash Bargaining Game ◽  
Output Market ◽  
The Difference

This paper analyzes a semicollusive, differentiated duopoly. Firms first compete in cost reducing R&D and then cooperate on the output market. The sharing of the joint profit on the output market is modeled as a Nash bargaining game. We study an asymmetric setting in which one firm has a lower unit cost of production than the other firm, before any R&D expenditures. If firms do not agree on how to share their joint profit, they play a noncooperative Nash equilibrium. Assuming linear demand functions, we show that the Nash bargaining outcome is independent of whether firms play a Cournot or a Bertrand Nash equilibrium, as long as both firms supply positive outputs in these equilibria. If the two products are sufficiently differentiated, there is a unique equilibrium in which both firms supply a positive output, and in which the low cost firm always invests more in R&D than the high cost firm. If the two products are not very differentiated, and if the difference in unit costs between the two firms is not too large, there exist two equilibria. In each of these equilibria only one firm supplies a positive output. This can be the low cost or the high cost firm. In the latter case, the initially high cost firm invests so much in R&D that its unit cost after R&D is lower than that of the other firm. This firm then leapfrogs the other firm. If the two products are very similar and if firms apply Bertrand strategies when disagreeing, there exist equilibria in which only one firm supplies a positive output, while in the noncooperative Nash equilibrium that same firm can prevent the other firm from entering the market. We show that, in the context of the Nash bargaining model, this latter firm still has the power to claim a share of the joint profit.

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