An Approach to Fuzzy Noncooperative Nash Games

Garagic, Denis; Cruz, J.B.

doi:10.1023/b:jota.0000004867.66302.16

Cited by 57 publications

(28 citation statements)

References 7 publications

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“…Buchegger and Alpcan first prove the existence of a Nash equilibrium for the complete information zero-sum game. But, as the players of the game often have limited information about the preferences of the opponents, they also evaluate a fuzzy game in which players attempt to maximize their utility using an imprecise payoff matrix [Garagic and Cruz 2003]. The fuzzy game is then solved using the fuzzy linear programming approach [Campos 1989].…”

Section: · 15mentioning

confidence: 99%

Game theory meets network security and privacy

et al. 2013

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This survey provides a structured and comprehensive overview of research on security and privacy in computer and communication networks that uses game-theoretic approaches. We present a selected set of works to highlight the application of game theory in addressing different forms of security and privacy problems in computer networks and mobile applications. We organize the presented works in six main categories: security of the physical and MAC layers, security of self-organizing networks, intrusion detection systems, anonymity and privacy, economics of network security, and cryptography. In each category, we identify security problems, players, and game models. We summarize the main results of selected works, such as equilibrium analysis and security mechanism designs. In addition, we provide a discussion on advantages, drawbacks, and the future direction of using game theory in this field. In this survey, our goal is to instill in the reader an enhanced understanding of different research approaches in applying game-theoretic methods to network security. This survey can also help researchers from various fields develop game-theoretic solutions to current and emerging security problems in computer networking.

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Section: · 15mentioning

confidence: 99%

Game theory meets network security and privacy

et al. 2013

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“…He discussed Shapely value in cooperative games with deterministic characteristics and fuzzy coalitions. In [9], the concept of fuzzy strategies has been introduced. It defines a strategy set consisting of fuzzy subspaces of strategy spaces and assigned a fuzzy payoff for each set of player's strategies.…”

Section: Fuzzy Gamesmentioning

confidence: 99%

“…He used fuzzy sets to represent the belief of each player for strategies of other players. Since then, fuzzy set theory has been used in many non-cooperative [9][10][11][12][13][14][15] and cooperative games [16][17].…”

Section: Introductionmentioning

confidence: 99%

Nash Equilibrium Strategies in Fuzzy Games

Chakeri¹,

Sadati²,

Dumont³

2013

Game Theory Relaunched

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“…The fuzziness occurring in the game problems is categorized as the fuzzy game problems. Single objective fuzzy game problems and related problems have attracted a wide range of research [6][7][8][9][10][11]. Therefore, fuzzy games theory has been extensively studied in some fields, such as economics, engineering and management science [12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree

2017

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Abstract:In this article, we put forward the multi-objective matrix game model based on fuzzy payoffs. In order to solve the game model, we first discuss the relationship of two fuzzy numbers via the lower limit− 1 2 of the possibility degree. Then, utilizing this relationship, we conclude that the equilibrium solution of this game model and the optimal solution of multicriteria linear optimization problems are of equal value. Finally, to illustrate the effectiveness and correctness of the obtained model, an example is provided.

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An Approach to Fuzzy Noncooperative Nash Games

Cited by 57 publications

References 7 publications

Game theory meets network security and privacy

Game theory meets network security and privacy

Nash Equilibrium Strategies in Fuzzy Games

Solving Multi-Objective Matrix Games with Fuzzy Payoffs through the Lower Limit of the Possibility Degree

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