Abstract
Non-cooperative bargaining is modeled as an extensive–form game with uncertain information and infinite actions. Its resolution is a long–standing open problem and no algorithm addressing uncertainty over multiple parameters is known. We provide an algorithm to solve bargaining with any kind of one–sided uncertainty. Our algorithm reduces a bargaining problem to a finite game, solves this last game, and then maps its strategies with the original continuous game. Computational complexity is polynomial with two types, while with more types the problem is hard and only small settings can be solved in exact way.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chatterjee, K., Samuelson, L.: Bargaining under two-sided incomplete information: The unrestricted offers case. Oper. Res. 36(4), 605–618 (1988)
Di Giunta, F., Gatti, N.: Bargaining over multiple issues in finite horizon alternating-offers protocol. Ann. Math. Artif. Intel. 47(3-4), 251–271 (2006)
Faratin, P., Sierra, C., Jennings, N.R.: Negotiation decision functions for autonomous agents. Robot. Auton. Syst. 24(3-4), 159–182 (1998)
Fatima, S.S., Wooldridge, M.J., Jennings, N.R.: On Efficient Procedures for Multi-issue Negotiation. In: Fasli, M., Shehory, O. (eds.) TADA/AMEC 2006. LNCS (LNAI), vol. 4452, pp. 31–45. Springer, Heidelberg (2007)
Gatti, N., Di Giunta, F., Marino, S.: Alternating-offers bargaining with one-sided uncertain deadlines: an efficient algorithm. Artif. Intell. 172(8-9), 1119–1157 (2008)
Gneezy, U., Haruvy, E., Roth, A.E.: Bargaining under a deadline: Evidence from the reverse ultimatum game. Game Econ. Behav. 45, 347–368 (2003)
Koller, D., Megiddo, N., von Stengel, B.: Efficient computation of equilibria for extensive two-person games. Game Econ. Behav. 14(2), 220–246 (1996)
Kreps, D.R., Wilson, R.: Sequential equilibria. Econometrica 50(4), 863–894 (1982)
Miltersen, P.B., Sorensen, T.B.: Computing sequential equilibria for two-player games. In: SODA, pp. 107–116 (2006)
Porter, R., Nudelman, E., Shoham, Y.: Simple search methods for finding a Nash equilibrium. In: AAAI, pp. 664–669 (2004)
Rubinstein, A.: Perfect equilibrium in a bargaining model. Econometrica 50(1), 97–109 (1982)
Rubinstein, A.: A bargaining model with incomplete information about time preferences. Econometrica 53(5), 1151–1172 (1985)
Rubinstein, A.: Choice of conjectures in a bargaining game with incomplete information. In: Roth, A.E. (ed.) Game-Theoretic Models of Bargaining, pp. 99–114. Cambridge University Press, Cambridge (1985)
Sandholm, T.: Agents in electronic commerce: Component technologies for automated negotiation and coalition formation. Auton. Agent Multi-AG 3(1), 73–96 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ceppi, S., Gatti, N., Iuliano, C. (2013). Non–cooperative Bargaining with Arbitrary One–Sided Uncertainty. In: David, E., Robu, V., Shehory, O., Stein, S., Symeonidis, A. (eds) Agent-Mediated Electronic Commerce. Designing Trading Strategies and Mechanisms for Electronic Markets. AMEC TADA 2011 2011. Lecture Notes in Business Information Processing, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34889-1_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-34889-1_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34888-4
Online ISBN: 978-3-642-34889-1
eBook Packages: Computer ScienceComputer Science (R0)