Abstract
In this note we introduce the notion of K–player additive extension of a symmetric two-player game and prove a result relating the equilibria in mixed strategies in the two games. Then we apply the result to the Borda electoral competition game.
Similar content being viewed by others
REFERENCES
Borda, J.C. (1781), Memoire sur les elections an scrutin, Histoire de l'Academie Royale des Sciences, Paris.
Laffond, G., Laslier, J.F. and Le Breton, M. (1993), The bipartisan set of a tournament game, Games and Ecnomic Behaviour 5: 182–201.
Laffond, G., Laslier, J.F. and Le Breton, M. (1994), Social choice mediators, American Economic Review, Papers and Proceedings 84: 448–453.
Laffond, G., Laslier, J.F. and Le Breton, M. (1997), A theorem on symmetric two-player zero-sum games, Journal of Economic Theory 72: 426–431.
Moulin, H. (1988), Axioms of Cooperative Decision Making. Cambridge: Cambridge University Press.
Ordeshook, P.C. (1988), Game Theory and Political Theory. Cambridge: Cambridge University Press.
Owen, G. (1982), Game Theory. New York: Academic Press.
Quintas, L.G. (1989), A note n ploymatrix games, International Journal of Game Theory 18: 261–272.
Shepsle, K.A. (1991), Models of Multiparty Electoral Competition Fundamentals of Pure and applied Economics, Political Ssience and Economics Section (J. Ferejohn, ed.)) New York: Harwood Academic Publishers.
Yanovskaya, E.B. (1968), Equilibrium points in polymatrix games, Lithuanian Mathematical Journal (in Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Laffond, G., Laslier, JF. & Breton, M.L. K–Player Additive Extension of Two-Player games with an Application to the Borda Electoral Competition Game. Theory and Decision 48, 129–137 (2000). https://doi.org/10.1023/A:1005256424944
Issue Date:
DOI: https://doi.org/10.1023/A:1005256424944