Optimal stealing time

Springer Science and Business Media LLC - Tập 80 - Trang 451-462 - 2015
Andrea Gallice1
1Department of Economics and Statistics, University of Torino and Collegio Carlo Alberto, Torino, Italy

Tóm tắt

We study a dynamic game in which players can steal parts of a homogeneous and perfectly divisible pie from each other. The effectiveness of a player’s theft is a random function which is stochastically increasing in the share of the pie the agent currently owns. We show how the incentives to preempt or to follow the rivals change with the number of players involved in the game and investigate the conditions that lead to the occurrence of symmetric or asymmetric equilibria.

Tài liệu tham khảo

Borel, E. (1921). La theorie du jeu les equations integrales a noyau symetrique. Comptes Rendus de l’Academie 173, 1304–1308. English translation by Savage, L., 1953. The theory of play and integral equations with Skew Symmetric Kernels. Econometrica, 21, 97–100. Brunnermeier, M. K., & Morgan, J. (2010). Clock games: Theory and experiments. Games and Economic Behavior, 68, 532–550. Bulow, J., & Klemperer, P. (1999). The generalized war of attrition. American Economic Review, 89, 175–189. Dubovik, A., & Parakhonyak, A. (2014). Drugs, guns, and targeted competition. Games and Economic Behavior, 87, 497–507. Harsanyi, J., & Selten, R. (1988). A general theory of equilibrium selection in games. Cambridge: MIT Press. Konrad, K. A. (2009). Strategy and dynamics in contests. Oxford, UK: Oxford University Press. Maynard Smith, J. (1974). Theory of games and the evolution of animal contests. Journal of Theoretical Biology, 47, 209–221. Maskin, E., & Tirole, J. (2001). Markov perfect equilibrium I. Observable actions. Journal of Economic Theory, 100, 191–219. Park, A., & Smith, L. (2008). Caller number five and related timing games. Theoretical Economics, 3, 231–256. Rinott, Y., Scarsini, M., & Yu, Y. (2012). A Colonel Blotto gladiator game. Mathematics of Operations Research, 37, 574–590. Rosenthal, R. (1981). Games of perfect information, predatory pricing, and the chain store paradox. Journal of Economic Theory, 25, 92–100. Sela, A., & Erez, E. (2013). Dynamic contests with resource constraints. Social Choice and Welfare, 41, 863–882. von Stackelberg, H. (1934). Marktform und Gleichgewicht. Vienna and Berlin: Springer Verlag.