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Undominated strategies and coordination in normalform games

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Abstract

This paper studies the question whether there are nondictatorial procedures for collective decision making which ensure that collective decisions are Pareto-efficient if all agents choose strategies that are not weakly dominated. It is shown that contrary to what one might expect the answer is not entirely negative.

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References

  • Bernheim BD (1986) Axiomatic characterization of rational choice in strategic environments. Scand J Econ 88: 473–488

    Google Scholar 

  • Börgers T (1989a) Undominated strategies and coordination in normalform games. University of Basel (mimeo)

  • Börgers T (1989b) Bayesian optimisation and dominance in normalform games. University of Basel (mimeo)

  • Brams SJ, Fishburn PC (1978) Approval voting. Am Polit Sci Rev 72: 831–847

    Google Scholar 

  • Brams SJ, Fishburn PC (1982) Approval voting. Birkhäuser, Boston

    Google Scholar 

  • Farquharson R (1969) Theory of voting. Yale University Press, New Haven

    Google Scholar 

  • Gibbard A (1973) Manipulation of voting schemes: a general result, Econometrica 41: 587–602

    Google Scholar 

  • Jackson MO (1984) Towards characterizing dominance solvable game forms and their associated social choice functions. Stanford University (mimeo)

  • Jackson MO (1990) Implementation in undominated strategies: a look at bounded mechanisms (revised). Northwestern University (mimeo)

  • Maskin E (1977) Nash equilibrium and welfare optimality. Massachusetts Institute of Technology (mimeo)

  • Moore J, Repullo R (1988) Subgame perfect implementation. Econometrica 56: 1191–1220

    Google Scholar 

  • Moulin H (1979) Dominance solvable voting schemes. Econometrica 47: 1337–1351

    Google Scholar 

  • Moulin H (1983) The strategy of social choice, North-Holland, Amsterdam

    Google Scholar 

  • Myerson RB (1985) Bayesian equilibrium and incentive-compatibility: an introduction. In: L. Hurwicz et al. (eds) Social goals and social organisation. Cambridge University Press, Cambridge, pp 229–259

    Google Scholar 

  • Myerson RB, Satterthwaite MA (1983) Efficient mechanisms for bilateral trading. J. Econ Theory 29: 265–281

    Google Scholar 

  • Palfrey T, Srivastava S (1986) Nash implementation using undominated strategies. Carnegie Mellon University (mimeo)

  • Samuelson L (1989) Dominated strategies and common knowledge. Pennsylvania State University (mimeo)

  • Satterthwaite MA (1975) Strategy-proofness and Arrow's conditions: existence and correspondence theorems for voting procedures and social welfare functions. J Econ Theory 10: 187–217

    Google Scholar 

  • Sen AK (1970) The impossibility of a Paretian liberal. J Pol Econ 78: 152–157

    Google Scholar 

Download references

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This paper is a shortened and revised version of Börgers (1989a). I would like to thank John Moore and Ariel Rubinstein for their comments on a very early version of this research. I have also benefited from the reactions of seminar participants in London, Visegard, Paris, and Basel. I am grateful to a referee and to an associate editor for helpful suggestions.

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Börgers, T. Undominated strategies and coordination in normalform games. Soc Choice Welfare 8, 65–78 (1991). https://doi.org/10.1007/BF00182448

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  • DOI: https://doi.org/10.1007/BF00182448

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