Korpela, Ville and Lombardi, Michele and Vartiainen, Hannu (2019): Implementation with foresighted agents.
Preview |
PDF
MPRA_paper_102496.pdf Download (212kB) | Preview |
Abstract
Agents are farsighted when they consider the ultimate consequences of their actions. We re-examine the classical questions of implementation theory under complete information in a setting with transfers, where farsighted coalitions are considered fundamental behavioral units, and the equilibrium outcomes of their interactions are predicted via the stability notion of the largest consistent set. The designer's exercise consists of designing a rights structure that formalizes the idea of power distribution in society. The designer's challenge lies in forming a rights structure in which the equilibrium behavior of agents always coincides with the recommendation given by a social choice rule. We show that (Maskin) monotonicity fully identifies the class of implementable single-valued social choice rules. Even though, monotonicity is not necessary for implementation in general, we show that every monotonic social choice rule can be implemented. These findings imply that the class of implementable social choice rules in core equilibria is unaltered by farsighted reasoning.
Item Type: | MPRA Paper |
---|---|
Original Title: | Implementation with foresighted agents |
English Title: | Implementation with foresighted agents |
Language: | English |
Keywords: | Implementation, largest consistent set, monotonicity |
Subjects: | D - Microeconomics > D6 - Welfare Economics |
Item ID: | 102496 |
Depositing User: | Michele Lombardi |
Date Deposited: | 26 Aug 2020 09:44 |
Last Modified: | 26 Aug 2020 09:44 |
References: | Aumann R, Myerson R. Endogenous Formation of Links Between Players and of Coalitions, An Application of the Shapley Value, in The Shapley Value: Essays in Honor of Lloyd Shapley, Alvin Roth, ed., 175--191. Cambridge: Cambridge University Press, 1988. Bloch F, van den Nouweland A. Farsighted stability with heterogeneous expectations. Games Economic Behavior (2020), forthcoming. Chwe M S-Y. Farsighted coalitional stability. Journal of Economic Theory 63 (1994) 299--325. Diamantoudi E, Xue L. Farsighted Stability in Hedonic Games. Social Choice and Welfare 21 (2003) 39--61. Dutta B, Vohra R. Rational Expectations and Farsighted Stability. Theoretical Economics 12 (2017) 1191--1227. Dutta B, Vartiainen H. Coalition Formation and History Dependence. Theoretical Economics 15 (2020) 159--197. Granot D, Sošić G. Formation of Alliances in Internet Based Supply Exchanges. Management Science 51 (2005) 92--105. Harsanyi, J. An equilibrium-point interpretation of stable sets and a proposed alternative definition. Management Science 20 (1974) 1472--1495. Herings P J-J, Mauleon A, Vannetelbosch V. Rationalizability for social environments. Games Economic Behavior 49 (2004) 135--156. Herings P J-J, Mauleon A, Vannetelbosch V. Farsightedly stable networks. Games Economic Behavior 67(2009) 526--541. Jordan JS. Pillage and Property. Journal of Economic Theory 131 (2006) 26--44. Kimya M. Equilibrium Coalitional Behavior. Mimeo, Brown University (2015). Konishi H, Ray D. Coalition formation as a dynamic process. Journal of Economic Theory 110 (2003) 1--41. Koray S, Yildiz K. Implementation via rights structures. Journal of Economic Theory 176 (2018) 479--502. Korpela V, Lombardi M, Vartiainen H. Do Coalitions Matter in Designing Institutions? Journal of Economic Theory 185 (2020). Mauleon A, Vannetelbosch V. Farsightedness and Cautiousness in Coalition Formation Games with Positive Spillovers. Theory and Decision 56 (2004) 291--324. Mauleon A, Vannetelbosch V, Vergote W. von Neumann-Morgenstern farsighted stable sets in two-sided matching. Theoretical Economics 6 (2011) 499--521. Maskin E. Nash equilibrium and welfare optimality. Review of Economic Studies 66 (1999) 23--38. Mcquillin B, Sugden R. The representation of alienable and inalienable rights: games in transition function form. Social Choice and Welfare 37 (2011) 683--706. Mezzetti C, Renou L. Implementation in mixed Nash equilibrium. Journal of Economic Theoryy 147 (2012) 2357--2375. Morimoto S, Serizawa S. Strategy-proofness and efficiency with non-quasi-linear preferences: A characterization of minimum price Walrasian rule. Theoretical Economics 10 (2015) 445--487. Nagarajan M, Sošić G. Stable Farsighted Coalitions in Competitive Markets. Management Science 53 (2007) 29--45. Nagarajan M, Sošić G. Coalition Stability in Assembly Models. Operations Research, 57 (2009) 131---145. von Neumann J, Morgenstern O. Theory of games and economic behavior. Princeton Univ. Press, Princeton, NJ, 1947. Page FH, Wooders MH, Kamat S. Networks and Farsighted Stability. Journal of Economic Theory 120 (2005) 257--269. Ray D. A Game-Theoretic Perspective on Coalition Formation. Oxford University Press, 2007. Ray D, Vohra R. The Farsighted Stable Set. Econometrica 83 (2015) 977--1011. Sertel MR. Designing rights: Invisible hand theorems, covering and membership, mimeo, 2001, Bogazici University. Sošić G. Transshipment of Inventories Among Retailers: Myopic vs. Farsighted Stability. Management Science 52 (2006) 1493--1508. Vartiainen H. Dynamic coalitional equilibrium. Journal of Economic Theory 146 (2011) 672--698. Vohra R, Ray D. Maximality in the Farsighted Stable Set. Econometrica (2019), forthcoming. Xue L. Nonemptiness of the Largest Consistent Set. Journal of Economic Theory 73 (1997) 453--459. Xue L. Coalitional Stability under Perfect Foresight. Economic Theory 11 (1998) 603--627. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/102496 |