Nash equilibrium uniqueness in nice games with isotone best replies
Tài liệu tham khảo
Agliardi, 2000, A generalization of supermodularity, Econom. Lett., 68, 251, 10.1016/S0165-1765(00)00258-5
Avriel, 2010
Baetz, 2015, Social activity and network formation, Theor. Econ., 10, 315, 10.3982/TE1487
Belhaj, 2014, Network games under strategic complementarities, Games Econom. Behav., 88, 310, 10.1016/j.geb.2014.10.009
Ceparano, 2015
Diewert, 1981, Alternative characterizations of six kinds of quasiconcavity in the nondifferentiable case with applications to nonsmooth programming, 51
Dubey, 2006, Strategic complements and substitutes, and potential games, Games Econom. Behav., 54, 77, 10.1016/j.geb.2004.10.007
Gabay, 1980, On the uniqueness and stability of Nash equilibrium in noncooperative games, 271
Giorgi, 1992, Dini derivatives in optimization–part I, Decis. Econ. Finance, 15, 3
Hadjisavvas, 2009, Generalized monotone single valued maps, 1197
Hiller, T., 2012. Peer effects in endogenous networks. Mimeo available at www.efm.bris.ac.uk/economics/working_papers/pdffiles/dp12633.pdf.
Karamardian, 1969, The nonlinear complementarity problem with applications, part 2, J. Optim. Theory Appl., 4, 167, 10.1007/BF00930577
Kennan, 2001, Uniqueness of positive fixed points for increasing concave functions on Rn: an elementary result, Rev. Econ. Dynam., 4, 893, 10.1006/redy.2001.0133
Krasnosel’skiĭ, 1964
Kukushkin, 2016, Cournot tatonnement in aggregative games with monotone best responses, 31
Lagerås, 2016, Strategic complementarities, network games and endogenous network formation, Internat. J. Game Theory, 45, 497, 10.1007/s00182-015-0466-x
Marinacci, 2005, Ultramodular functions, Math. Oper. Res., 30, 311, 10.1287/moor.1040.0143
Maschler, 2013
Milgrom, 1990, Rationalizability, learning, and equilibrium in games with strategic complementarities, Econometrica, 58, 1255, 10.2307/2938316
Milgrom, 1996, Coalition-proofness and correlation with arbitrary communication possibilities, Game. Econ. Behav., 17, 113, 10.1006/game.1996.0096
Milgrom, 1994, Monotone comparative statics, Econometrica, 62, 157, 10.2307/2951479
Moulin, 1984, Dominance solvability and Cournot stability, Math. Social Sci., 7, 83, 10.1016/0165-4896(84)90090-8
Müller, 2012, Fear of loss, inframodularity, and transfers, J. Econom. Theory, 147, 1490, 10.1016/j.jet.2011.02.002
Rosen, 1965, Existence and uniqueness of equilibrium points for concave N-person games, Econometrica, 33, 520, 10.2307/1911749
Shaked, 1990, Parametric stochastic convexity and concavity of stochastic processes, Ann. Inst. Statist. Math., 42, 509, 10.1007/BF00049305
Tarski, 1955, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math., 5, 285, 10.2140/pjm.1955.5.285
Topkis, 1978, Minimizing a submodular function on a lattice, Oper. Res., 26, 305, 10.1287/opre.26.2.305
Topkis, 1979, Equilibrium points in nonzero-sum n-person submodular games, SIAM J. Control Optim., 17, 773, 10.1137/0317054
Ui, 2016, Bayesian Nash equilibrium and variational inequalities, J. Math. Econom., 63, 139, 10.1016/j.jmateco.2016.02.004
Van Zandt, 2010, Interim Bayesian Nash equilibrium on universal type spaces for supermodular games, J. Econom. Theory, 145, 249, 10.1016/j.jet.2007.09.016
Vives, 1990, Nash equilibrium with strategic complementarities, J. Math. Econom., 19, 305, 10.1016/0304-4068(90)90005-T