The computational complexity of rationalizing boundedly rational choice behavior
We determine the computational complexity of various choice models that use multiple rationales to explain observed choice behavior. First, we demonstrate that the notion of rationalizability by K rationales, introduced by Kalai et al. (2002), is NP-complete for K greater than or equal to two. Then, we show that the question of sequential rationalizability by K rationales, introduced by Manzini and Mariotti (2007), is NP-complete for K greater than or equal to three. Finally, we focus on the computational complexity of two models that refine this model of sequential choice behavior. We establish that the model of choice by game trees, from Xu and Zhou (2007), is NP-complete while the status-quo bias model, from Masatlioglu and Ok (2005), can be verified in polynomial time.
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Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
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- Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
- Seidl, C. & Traub, S., 1996. "Rational Choice and the Relevance of Irrelevant Alternatives," Discussion Paper 1996-91, Tilburg University, Center for Economic Research.
- Shanfeng Zhu & Xiaotie Deng & Maocheng Cai & Qizhi Fang, 2002. "On computational complexity of membership test in flow games and linear production games," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 39-45.
- Loomes, Graham & Taylor, Caron, 1992. "Non-transitive Preferences over Gains and Losses," Economic Journal, Royal Economic Society, vol. 102(411), pages 357-65, March.
- Francis Chu & Joseph Halpern, 2001.
"On the NP-completeness of finding an optimal strategy in games with common payoffs,"
International Journal of Game Theory,
Springer;Game Theory Society, vol. 30(1), pages 99-106.
- Francis C. Chu & Joseph Y. Halpern, 2000. "On the NP-Completeness of Finding an Optimal Strategy in Games with Common Payoffs," Game Theory and Information 0004011, EconWPA.
- Jose Apesteguia & Miguel Ballester, 2009.
"Choice by Sequential Procedures,"
NajEcon Working Paper Reviews
- Jose Apesteguia & Miguel Angel Ballester, 2012. "Choice By Sequential Procedures," Working Papers 615, Barcelona Graduate School of Economics.
- Jose Apesteguia & Miguel A. Ballester, 2012. "Choice by sequential procedures," Economics Working Papers 1309, Department of Economics and Business, Universitat Pompeu Fabra.
- Suzumura, Kataro, 1976. "Remarks on the Theory of Collective Choice," Economica, London School of Economics and Political Science, vol. 43(172), pages 381-90, November.
- Richard Baron & Jacques Durieu & Hans Haller & Philippe Solal & Savani Rahul, 2008. "Good neighbors are hard to find: computational complexity of network formation," Post-Print hal-00268851, HAL.
- Felix Brandt & Felix Fischer & Paul Harrenstein & Maximilian Mair, 2010. "A computational analysis of the tournament equilibrium set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 597-609, April.
- Xu, Yongsheng & Zhou, Lin, 2007. "Rationalizability of choice functions by game trees," Journal of Economic Theory, Elsevier, vol. 134(1), pages 548-556, May.
- Ray, Indrajit & Zhou, Lin, 2001.
"Game Theory via Revealed Preferences,"
Games and Economic Behavior,
Elsevier, vol. 37(2), pages 415-424, November.
- Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
- Hudry, Olivier, 2009. "A survey on the complexity of tournament solutions," Mathematical Social Sciences, Elsevier, vol. 57(3), pages 292-303, May.
- Itzhak Gilboa & Eitan Zemel, 1988.
"Nash and Correlated Equilibria: Some Complexity Considerations,"
777, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Gilboa, Itzhak & Zemel, Eitan, 1989. "Nash and correlated equilibria: Some complexity considerations," Games and Economic Behavior, Elsevier, vol. 1(1), pages 80-93, March.
- Itzhak Gilboa & Eitan Zemel, 1989. "Nash and Correlated Equilibria: Some Complexity Considerations," Post-Print hal-00753241, HAL.
- Gerhard J. Woeginger, 2003. "Banks winners in tournaments are difficult to recognize," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 523-528, 06.
- Samuelson, William & Zeckhauser, Richard, 1988. "Status Quo Bias in Decision Making," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 7-59, March.
- Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, vol. 62(2), pages 119-134, March.
- Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
- Richard Baron & Jacques Durieu & Hans Haller & Philippe Solal, 2004. "Finding a Nash equilibrium in spatial games is an NP-complete problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(2), pages 445-454, January.
- Gil Kalai & Ariel Rubenstein & Ran Spiegler, 2001.
"Rationalizing Choice Functions by Multiple Rationales,"
Economics Working Papers
0010, Institute for Advanced Study, School of Social Science.
- Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
- Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2001. "Rationalizing Choice Functions by Multiple Rationales," Discussion Paper Series dp278, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Richard Baron & Jacques Durieu & Hans Haller & Rahul Savani & Philippe Solal, 2008. "Good neighbors are hard to find: computational complexity of network formation," Review of Economic Design, Springer;Society for Economic Design, vol. 12(1), pages 1-19, April.
- Eike B. Kroll & Bodo Vogt, 2008. "The Relevance of Irrelevant Alternatives: An experimental investigation of risky choices," FEMM Working Papers 08028, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
- Ariel Procaccia & Jeffrey Rosenschein & Aviv Zohar, 2008. "On the complexity of achieving proportional representation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 353-362, April.
- Conitzer, Vincent & Sandholm, Tuomas, 2008. "New complexity results about Nash equilibria," Games and Economic Behavior, Elsevier, vol. 63(2), pages 621-641, July.
- Brandt, Felix & Fischer, Felix, 2008. "Computing the minimal covering set," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 254-268, September.
- García-Sanz, María D. & Alcantud, José Carlos R., 2010. "Rational choice by two sequential criteria," MPRA Paper 21487, University Library of Munich, Germany.
- Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 425-39, March.
- Demuynck, Thomas & Lauwers, Luc, 2009. "Nash rationalization of collective choice over lotteries," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 1-15, January.
- Apesteguia, Jose & Ballester, Miguel A., 2010. "The Computational Complexity of Rationalizing Behavior," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 356-363, May.
- Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
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