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Strongly Coalition-Proof Equilibria in Games with Strategic Complementarities

  • Paul Milgrom
  • John Roberts

We identify two sufficient conditions for games with strategic complementarities to have a unique equilibrium that is "strongly coalition-proof," that is, immune to incentive-compatible deviations by coalitions. If a Nash equilibrium is unique, then it is strongly coalition-proof. Also, if each player's payoff is increasing (respectively, decreasing) in the other players' strategies, then the maximum (respectively, minimal) equilibrium is the unique strongly coalition-proof equilibrium. We offer several applications of these results, including one to the contracting model of Hart and Moore.

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Paper provided by Stanford University, Department of Economics in its series Working Papers with number 95002.

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Handle: RePEc:wop:stanec:95002
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  1. Hart, Oliver D. & Moore, John, 1990. "Property Rights and the Nature of the Firm," Scholarly Articles 3448675, Harvard University Department of Economics.
  2. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  3. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  4. Diamond, Douglas W & Dybvig, Philip H, 1983. "Bank Runs, Deposit Insurance, and Liquidity," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 401-19, June.
  5. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  6. Jeremy I. Bulow & John Geanakoplos & Paul D. Klemperer, 1983. "Multimarket Oligopoly," Cowles Foundation Discussion Papers 674, Cowles Foundation for Research in Economics, Yale University.
  7. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
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