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Dominant strategy implementation of Bayesian incentive compatible allocation rules. (English) Zbl 0761.90025
Summary: A large literature on incentive mechanisms represents incentive constraints by the requirement that truthful reporting be a Bayesian equilibrium. This paper identifies mechanism design problems for which there is no loss in replacing Bayesian incentive compatibility by the stronger requirement to dominant strategies. We identify contexts where it is possible to change the transfer payments of an optimal Bayesian mechanism so as to create dominant strategies and yet leave every participant’s expected utility unchanged. We also address the issue of multiple equilibria and unique implementation. Contexts where these results apply include auctions, bilateral bargaining, procurement contracting and intrafirm resource allocation.

91B14 Social choice
91B26 Auctions, bargaining, bidding and selling, and other market models
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[1] Alchian, A; Demsetz, H, Production, information costs, and economic organization, Amer. econ. rev., 62, 777-795, (1979)
[2] Arrow, K, The property rights doctrine and demand revelation under complete and incomplete information, ()
[3] Baron, D; Myerson, R, Regulating a monopolist with unknown cost, Econometrica, 50, 911-930, (1982) · Zbl 0483.90019
[4] Brandenburger, A; Dekel, E, The role of common knowledge assumptions in game theory, ()
[5] Bulow, J; Roberts, J, The simple economics of optimal auctions, J. polit. econ., 97, 1060-1090, (1989)
[6] Cremer, J; McLean, R, Full extraction of the surplus in Bayesian and dominant strategy auctions, Econometrica, 56, 1247-1257, (1988) · Zbl 0661.90104
[7] Dasgupta, P; Hammond, P; Maskin, E, The implementation of social choice rules: some results on incentive compatibility, Rev. econ. stud., 46, 185-216, (1979) · Zbl 0413.90007
[8] Demski, J; Sappington, D, Optimal incentive schemes with multiple agents, J. econ. theory, 33, 152-171, (1984) · Zbl 0541.90001
[9] d’Aspremont, C; Gerard-Varet, L, Incentives and incomplete information, J. public econ., 11, 25-45, (1979)
[10] Gibbard, A, Manipulation of voting schemes, Econometrica, 41, 587-601, (1973) · Zbl 0325.90081
[11] Green, J; Laffont, J.J, Incentives in public decision making, (1979), North Holland Amsterdam · Zbl 0417.90001
[12] Hagerty, K; Rogerson, W, Robust trading mechanisms, J. econ. theory, 42, 94-107, (1987) · Zbl 0609.90015
[13] Harris, M; Kriebel, C; Raviv, A, Asymmetric information, incentives and intrafirm resource allocation, Manage. sci., 28, 604-620, (1982) · Zbl 0482.90037
[14] Hurwicz, L, On informationally decentralized systems, () · Zbl 0254.90009
[15] Kreps, D, A course in microeconomics, (1990), Princeton Univ. Press Princeton
[16] Laffont, J.J; Maskin, E, The theory of incentives: A survey, ()
[17] Laffont, J.J; Tirole, J, Auctioning incentive contracts, J. polit. econ., 95, 921-937, (1987)
[18] Leyard, J, The scope of the hypothesis of Bayesian equilibrium, J. econ. theory, 39, 59-82, (1986)
[19] Makowski, L; Ostroy, J, Efficient and individually rational Bayesian mechanisms only exist in perfectly competitive environments, ()
[20] \scP. McAfee and J. McMillan, Optimal contracts for teams, Int. Econ. Rev., in press. · Zbl 0729.90029
[21] McAfree, P; McMillan, J, Multidimensional incentive compatibility and mechanism design, J. econ. theory, 46, 335-354, (1988) · Zbl 0661.90008
[22] McAfee, P; Reny, P, Correlated information and mechanism design, (1988), University of Western Ontario, mimeo
[23] Melumad, N; Reichelstein, S, Value of communication in agencies, J. econ. theory, 47, 334-368, (1989) · Zbl 0669.90002
[24] Melumad, N; Mookherjee, D; Reichelstein, S, Hierarchical decentralization of incentive contracts, (1990), Graduate School of Business, Stanford University, mimeo
[25] Milgrom, P; Roberts, J, The economics of modern manufacturing: products, technology and organization, ()
[26] Mirrlees, J, Optimal taxation, () · Zbl 0632.90015
[27] Myerson, R, Optimal auction design, Math. oper. res., 6, 58-73, (1981) · Zbl 0496.90099
[28] Myerson, R; Satterthwaite, M, Efficient bilateral trading mechanisms, J. econ. theory, 29, 265-281, (1983) · Zbl 0523.90099
[29] Repullo, R, The revelation principle under complete and incomplete information, () · Zbl 0698.90009
[30] Satterthwaite, M, Strategy proofness and Arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions, J. econ. theory, 10, 187-217, (1975) · Zbl 0315.90088
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