IDEAS home Printed from https://ideas.repec.org/p/cte/werepe/6171.html
   My bibliography  Save this paper

Supporting others and the evolution of influence

Author

Listed:
  • Barberá, Salvador
  • Perea, Andrés

Abstract

In this paper we study environments in which agents can transfer influence to others by supporting them. When planning whom to support, they should take into account the future effect of this, since the receiving agent might use this influence to support others in the future. We show that in the presence of a finite horizon there is an essentially unique optimal support behavior which can be characterized in terms of associated value functions. The analysis of these value functions allows us to derive qualitative properties of optimal support strategies under different specific environments and to explicitly compute the optimal support behavior in some numerical examples. We also investigate the case of an infinite horizon. Examples show that multiple equilibria may appear in this setting, some of wich sustaining a degree of cooperation that would not be possible under a finite horizon.

Suggested Citation

  • Barberá, Salvador & Perea, Andrés, 1999. "Supporting others and the evolution of influence," UC3M Working papers. Economics 6171, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:6171
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/9bc9561b-9539-4642-8a3f-882a4d0d6b33/content
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Barbera, S. & Maschler, M. & Shalev, J., 2001. "Voting for Voters: A Model of Electoral Evolution," Games and Economic Behavior, Elsevier, vol. 37(1), pages 40-78, October.
    2. Gomes, Armando & Hart, Sergiu & Mas-Colell, Andreu, 1999. "Finite Horizon Bargaining and the Consistent Field," Games and Economic Behavior, Elsevier, vol. 27(2), pages 204-228, May.
    3. Kreps, David M & Porteus, Evan L, 1979. "Dynamic Choice Theory and Dynamic Programming," Econometrica, Econometric Society, vol. 47(1), pages 91-100, January.
    4. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Peter A. Streufert, 1990. "Stationary Recursive Utility and Dynamic Programming under the Assumption of Biconvergence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 79-97.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2018. "On societies choosing social outcomes, and their memberships: internal stability and consistency," Theory and Decision, Springer, vol. 84(1), pages 83-97, January.
    2. Dolors Berga & Alejandro Neme & Jordi Massó & Gustavo Bergantiños, 2008. "On two basic properties of equilibria of voting with exit," Economics Bulletin, AccessEcon, vol. 4(21), pages 1-9.
    3. Salvador Barberà, 2003. "Designing Decisions Rules for Transnational Infraestructure Projects," Working Papers 61, Barcelona School of Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Benabou, Roland, 2005. "Inequality, Technology and the Social Contract," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 25, pages 1595-1638, Elsevier.
    2. Al-Najjar, Nabil I., 2008. "Large games and the law of large numbers," Games and Economic Behavior, Elsevier, vol. 64(1), pages 1-34, September.
    3. Schmeiser, Steven, 2012. "Corporate board dynamics: Directors voting for directors," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 505-524.
    4. Stephen Satchell & Susan Thorp, 2007. "Scenario Analysis with Recursive Utility: Dynamic Consumption Plans for Charitable Endowments," Research Paper Series 209, Quantitative Finance Research Centre, University of Technology, Sydney.
    5. Christian Roessler & Sandro Shelegia & Bruno Strulovici, 2018. "Collective Commitment," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 347-380.
    6. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
    7. Wooders, M. & Selten, R. & Cartwright, E., 2001. "Some First Results for Noncooperative Pregames : Social Conformity and Equilibrium in Pure Strategies," The Warwick Economics Research Paper Series (TWERPS) 589, University of Warwick, Department of Economics.
    8. van der Ploeg, F., 1989. "Risk aversion, intertemporal substitution and consumption : The CARA-LQ problem," Discussion Paper 1989-53, Tilburg University, Center for Economic Research.
    9. Camacho, Carmen & Kamihigashi, Takashi & Sağlam, Çağrı, 2018. "Robust comparative statics for non-monotone shocks in large aggregative games," Journal of Economic Theory, Elsevier, vol. 174(C), pages 288-299.
    10. Fahrenwaldt, Matthias Albrecht & Jensen, Ninna Reitzel & Steffensen, Mogens, 2020. "Nonrecursive separation of risk and time preferences," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 95-108.
    11. Roger Guesnerie & Pedro Jara-Moroni, 2007. "Expectational coordination in a class of economic models: Strategic substitutabilities versus strategic complementarities," PSE Working Papers halshs-00587837, HAL.
    12. Robert M. Anderson & Haosui Duanmu & M. Ali Khan & Metin Uyanik, 2022. "Walrasian equilibrium theory with and without free-disposal: theorems and counterexamples in an infinite-agent context," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 387-412, April.
    13. He, Simin, 2019. "Minority advantage and disadvantage in competition and coordination," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 464-482.
    14. Agnieszka Wiszniewska-Matyszkiel, 2016. "Belief distorted Nash equilibria: introduction of a new kind of equilibrium in dynamic games with distorted information," Annals of Operations Research, Springer, vol. 243(1), pages 147-177, August.
    15. Nicola Persico & Petra Todd, 2004. "Using Hit Rate Tests to Test for Racial Bias in Law Enforcement: Vehicle Searches in Wichita," NBER Working Papers 10947, National Bureau of Economic Research, Inc.
    16. Guilherme Carmona, 2004. "On the existence of pure strategy nash equilibria in large games," Nova SBE Working Paper Series wp465, Universidade Nova de Lisboa, Nova School of Business and Economics.
    17. Chang, Roberto & Velasco, Andres, 2000. "Financial Fragility and the Exchange Rate Regime," Journal of Economic Theory, Elsevier, vol. 92(1), pages 1-34, May.
    18. Francis de Véricourt, & Huseyin Gurkan, & Shouqiang Wang,, 2020. "Informing the public about a pandemic," ESMT Research Working Papers ESMT-20-03, ESMT European School of Management and Technology.
    19. Hannu Salonen, 2010. "On the existence of Nash equilibria in large games," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(3), pages 351-357, July.
    20. Jara-Moroni, Pedro, 2018. "Rationalizability and mixed strategies in large games," Economics Letters, Elsevier, vol. 162(C), pages 153-156.

    More about this item

    Keywords

    Dynamic games;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cte:werepe:6171. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ana Poveda (email available below). General contact details of provider: http://www.eco.uc3m.es/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.