The Win-Win-Win Papakonstantinidis Model in the Ultimatum Game

In this article it is investigated the case of a three-part ultimatum game, where the proposer makes repeated sharing suggestions to the responder and a “third”. This “third” is the regulatory factor of recurring bids, at a rate—at each time of the immediately preceding. This article answers to question like “what share would the proposer be willing to give to the responder in the case of three taking part in the ultimatum game?” Which would be moral and which   fair? At which point of distribution would it be accepted by the responder? A Chi Square (x²) test is used. For     this reason, after investigating the social integration factors through the literature, two small surveys trying to  identify the distribution rate are conducted. We conclude that a share 0.40 could be accepted by the responder and the “third”.

Bohnet I., & Zeckhauser R. (2004). Trust, risk and betrayal. APA PsyNet.

Bolton, G. E., & Ockenfels A. (1998). ERC: A theory of equity, reciprocity, and competition-JSTOR.

Bolton, G. E., & Ockenfels A. (2000). ERC: A theory of equity, reciprocity, and competition. Am. Econ. Rev. 90, 166-193.

Bosch-Rosa, C., Meissner, T., & Bosch-Domènech A. (2015). Cognitive bubbles. Economics Working Papers from Department of Economics and Business, Universitat Pompeu Fabra.

Caremer C. (2003). Behavioral game theory experiments in strategic interaction. Princeton University Press.

Cason T. N., Mui V. L. (1998). Social influence in the sequential dictator game. J Math Psychol, 42(2/3), 248-65.

Daniel C. K. (2018). Social cognition. Reasoning, 2018.

Daniel H., & Kevin M. C. (2014). Experimental economics and experimental game theory. Neuroeconomics (Second Edition), 2014.

Duffy J., Feltovich N. (1999). Does observation of others affect learning in strategic environments? An experimental study. Int J Game Theory, 28, 131-152.

Dufwenberg M., & Kirchsteiger G. (2004). A theory of sequential reciprocity. Games and Economic Behavior, 47(2), 268-298.

Ernst F., & Klaus M. S. (1999). A theory of fairness, competition, and cooperation. The Quarterly Journal of Economics, Vol. 114, No. 3 (Aug., 1999), pp. 817-868.

Ernst F., Ian K. (2014). Social preferences and the brain. Neuroeconomics (Second Edition), 2014.

Falk A., & Fischbacher U. (2006A). Theory of reciprocity February. Games and Economic Behavior, 54(2), 293-315.

Fehr, E., & Schmidt, K. M. (1999). A theory of fairness, competition, and cooperation. Q. J. Econ., 114, 817-868.

Grosskopf B. (2003). Reinforcement and directional learning in the ultimatum game with responder competition. Experimental Economics, 6(2), 141-158.

Güth, W., Ockenfelsb P., & Wendelb M. (1996). Two-level ultimatum bargaining with incomplete information: An experimental study. Economic Journal, 106(436), 593-604.

Güth W., Ockenfelsb P., & Wendelb M. (1997). Cooperation based on trust. An experimental investigation. Journal of Economic Psychology.

Güth W., Schmittberger, R., & Schwarze B. (1982). An experimental analysis of ultimatum bargaining. Journal of Economic Behavior and Organization, 3, pp. 367-388.

Güth, W., & van Damme, E. (1998). Information, strategic behavior, and fairness in ultimatum bargaining: An experimental study. Journal of Mathematical Psychology, 42(2-3), 227-247.

Halko, M. L. & Seppala T. (2006). Ultimatum game experiments. Helsinki Center of Economic Research.

Hoffman E., & Spitzer M. L. (1985). Entitlement, rights and fairness: an experimental examination of subjects’ concepts of distributive justice. The Journal of Legal Studies, 14(2).

Hoffman, I. Z. (1996). The intimate and ironic authority of the psychoanalyst’s presence. The Psychoanalytic Quarterly, 65(1), 102-136.

Hopkins N. (2008). Identity, practice and dialogue. Journal of Community & Applied Social Psychology.

Kagel J. H., & Wolfe K. W. (2001). Tests of fairness models based on equity considerations in a three-person ultimatum game Experimental Economics, 4(3), 203-219.

Kirchsteiger, G., Rigotti, L., & Rustichini, A. (2006). Your morals might be your moods. J. Econ. Behav. Organ., 59, 155-172.

Knez, M. J., & Camerer, C. F. (1995). Outside options and social comparison in three-player ultimatum game experiments. Games and Economic Behavior.

Pfister H. R., & Bohm G. (2012). Responder feelings in a three-player three-option ultimatum game: Affective determinants of rejection behavior games. Games and Psychology, 3(1), 1-29.

Philipp E. O., & Daniel D. (2018). Simultaneous but independent ultimatum game: strategic elasticity or social motive dependency? International Journal of Game Theory.

Ramzi S. (2018). On gamesmen and fair men: explaining fairness in non-cooperative bargaining games. The Royal Society, ed. 2018. Retrieved from https://royalsocietypublishing.org/doi/10.1098/rsos.171709

Rabin M. (1993). Incorporating fairness into game theory and economics. The American Economic Review, 83(5), 1281-1302.

Roth et al. (1991). Bargaining and market behavior in Jerusalem, Ljubljana, Pittsburgh, and Tokyo: An experimental study. The American Economic Review.

Schuster S. (2017). A new solution concept for the ultimatum game leading to the golden ratio. Sci. Rep. 7, 5642.