Prices of Anarchy, Information, and Cooperation in Differential Games

Dynamic Games and Applications - Tập 1 Số 1 - Trang 50-73 - 2011
M Tamer Basar1, Quanyan Zhu1
1Coordinated Science Laboratory and the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, 1308 West Main Street, Urbana, IL, 61801, USA

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Tài liệu tham khảo

Alpcan T, Başar T, Srikant R, Altman E (2002) CDMA uplink power control as noncooperative game. Wirel Netw 8:659–690

Altman E, Başar T (1998) Multiuser rate-based flow control. IEEE Trans Commun 46(7):940–949

Altman E, Boulogne T, El-Azouzi R, Jimnez T, Wynter L (2006) A survey on networking games in telecommunications. Comput Oper Res 33(2):286–311

Azad AP, Altman E, El-Azouzi R (2010) Routing games: From egoism to altruism. In: Proc 8th international symp modeling and optimization in mobile, ad hoc, and wireless networks (WiOpt 2010), Workshop WNC3 2010, Avignon, France, May 31–June 4, 2010, pp 442–451

Başar T (1972) A contradictory property of the Nash solution for two stochastic nonzero-sum games. In: Proc 10th Allerton conf on circuit and system theory, October 1972, pp 819–827

Başar T (1989) Time consistency and robustness of equilibria in noncooperative dynamic games. In: Van der Ploeg F, de Zeeuw A (eds) Dynamic policy games in economics. North-Holland, Amsterdam, pp 9–54

Başar T (2007) Control and game-theoretic tools for communication networks (Overview). Appl Comput Math 6(2):104–125

Başar T, Ho YC (1974) Informational properties of the Nash solutions of two stochastic nonzero-sum games. J Econ Theory 7(4):370–387

Başar T, Olsder GJ (1999) Dynamic noncooperative game theory, 2nd edn. SIAM series in classics in applied math. SIAM, Philadelphia

Dockner E, Jorgensen S, Long NV, Sorger G (2006) Differential games in economics and management science. Cambridge University Press, Cambridge

Dubey P (1986) Inefficiency of Nash equilibria. Math Oper Res 11(1)

Engwerda JC (2000) Feedback Nash equilibria in the scalar infinite horizon LQ-game. Automatica 36:135–739

Engwerda JC (2000) The solution set of the N-player scalar feedback Nash algebraic Riccati equations. IEEE Trans Autom Control 48:847–853

Engwerda JC (2005) LQ dynamic optimization and differential games. Wiley, New York

Grossklags J, Johnson B, Christin N (2009) The price of uncertainty in security games. In: Proc eighth workshop on the economics of information security (WEIS)

Johari R, Mannor S, Tsitsiklis J (2005) Efficiency loss in a network resource allocation game: The case of elastic supply. IEEE Trans Autom Control 50(11):1712–1724

Johari R, Tsitsiklis J (2004) Network resource allocation and a congestion game: The single link case. In: Proc 42nd IEEE conf decision and control (CDC), December 2004, pp 2112–2117

Maheswaran RT, Başar T (2003) Nash equilibrium and decentralized negotiation in auctioning divisible resources. J Group Decis Negot (GDN) 13

Roughgarden T, Tardos E (2004) Bounding the inefficiency of equilibria in nonatomic congestion games. Games Econ Behav 47:389–403

Shakkottai S, Srikant R, Ozdaglar A, Acemoglu D (2008) The price of simplicity. IEEE J Sel Areas Commun, Game Theory Commun Syst 26(7)

Zhu Q, Başar T (2010) Price of anarchy and price of information in N-person linear-quadratic differential games. In: Proc American control conf (ACC), Baltimore, Maryland, June 2010

Zhu Q, Pavel L (2008) Stackelberg game approach in OSNR optimization of optical networks with capacity constraints. In: Proc American control conf (ACC), pp 762–767

Zhu Q, Pavel L (2008) State-space approach to pricing design in OSNR Nash games. In: Proc IFAC congress, Seoul, Korea, 2008