Journal of Evolutionary Economics

, Volume 28, Issue 2, pp 365–397 | Cite as

Evolutionary stability of bargaining and price posting: implications for formal and informal activities

  • Nejat Anbarci
  • Pedro Gomis-Porqueras
  • Marcus Pivato
Article
  • 73 Downloads

Abstract

In this paper we study the co-existence of two well known trading protocols, bargaining and price-posting. To do so we consider a frictional environment where buyers and sellers play price-posting and bargaining games infinitely many times. Sellers switch from one market to the other at a rate that is proportional to their payoff differentials. Given the different informational requirements associated with these two trading mechanisms, we examine their possible co-existence in the context of informal and formal markets. Other than having different trading protocols, we also consider other distinguishing features. We find a unique stable equilibrium where price-posting (formal markets) and bargaining (informal markets) co-exist. In a richer environment where both sellers and buyers can move across markets, we show that there exists a unique stable dynamic equilibrium where formal and informal activities also co-exist whenever sellers’ and buyers’ net costs of trading in the formal market have opposite signs.

Keywords

Price posting Bargaining Formal and informal sectors 

JEL Classification

C7 D49 E26 C78 

Notes

Acknowledgments

This paper was previously circulated under two different titles: (i) “Formal and Informal Markets: A Strategic and Dynamic Perspective” and (ii) “Formal and Informal Markets: A Strategic and Evolutionary Perspective”.

We would like to thank Nick Feltovich, Lawrence Uren and the participants of the 2012 Australasian Economic Theory Workshop and of the 2012 Australasian Public Choice Conference as well as the seminar participants at Australian National University, Deakin University, La Trobe University, Virginia Tech and anonymous referees for their comments and suggestions. Finally, we would also like to thank the anonymous referees for their input and suggestions. This work was supported by NSERC grant #262620-2008 and Labex MME-DII (ANR11-LBX-0023-01).

References

  1. Amaral P, Quintin E (2006) A competitive model of the informal sector. J Monet Econ 53:1541–1553CrossRefGoogle Scholar
  2. Antunes A, Cavalcanti T (2007) Start up costs, limited enforcement, and the hidden economy. Eur Econ Rev 51(1):203–224CrossRefGoogle Scholar
  3. Arnold M, Lippman S (1995) Selecting a selling institution: auctions versus sequential search. Econ Inq 33(1):1–23CrossRefGoogle Scholar
  4. Aruoba B (2010) Informal sector, government policy and institutions. In: 2010 Meeting papers of the society for economic dynamics, vol 324Google Scholar
  5. Bagwell K (2007) The economic analysis of advertising. In: Armstrong M, Porter R (eds) Handbook of industrial organization, vol 28. Elsevier, Ch, pp 1701–1844Google Scholar
  6. Beckert J (2005) Trust and the performative construction of markets. Max Planck Inst Study Soc 05/08:1193–1224Google Scholar
  7. Burdett K, Shi S, Wright R (2001) Pricing and matching with frictions. J Polit Econ 109:1060–85CrossRefGoogle Scholar
  8. Camera G, Delacroix A (2004) Trade mechanism selection in markets with frictions. Rev Econ Dyn 7:851–868CrossRefGoogle Scholar
  9. Camera G, Selcuk C (2009) Price dispersion with directed search. J Eur Econ Assoc 7(6):1193–1224CrossRefGoogle Scholar
  10. Cason T, Friedman D, Milam G (2003) Bargaining versus posted price competition in customer markets. Int J Ind Organ 21(2):223–251CrossRefGoogle Scholar
  11. Chmielowski M (2015) Perspectives of agorism in central and eastern europe. 4Liberty.eu. Review 3:44–53Google Scholar
  12. Christopoulos D (2003) Does underground economy respond symmetrically to tax changes? Evid Greece Econ Model 20:563–570CrossRefGoogle Scholar
  13. De Soto H (1989) The other path. Harper and Row, New YorkGoogle Scholar
  14. D’Erasmo P, Boedo HM (2012) Financial structure, informality and development. J Monet Econ 59(3):286–302CrossRefGoogle Scholar
  15. Diamond P (1971) A model of price adjustment. J Econ Theory 3:156–168CrossRefGoogle Scholar
  16. Donovan M (2008) Informal cities and the contestation of public space: the case of bogota’s street vendors, 1988-2003. Urban Stud 1(45):29–51CrossRefGoogle Scholar
  17. Ehrman C, Peters M (1994) Sequential selling mechanisms. Econ Theory 4(2):237–53CrossRefGoogle Scholar
  18. Feige E (1990) Defining and estimating underground and informal economies: the new institutional economics approach. World Dev 18(7):989–1002CrossRefGoogle Scholar
  19. Gambetta D (1988) Mafia: the price of distrust. In: Gambetta, D (ed) Trust: making and breaking cooperative relations, pp 158–175Google Scholar
  20. Giles D, Werkneh G, Johnson B (2001) Asymmetric responses of the UE to tax changes: evidence from New Zealand data. Econ Record 77(237):148CrossRefGoogle Scholar
  21. Gomis-Porqueras P, Peralta-Alva A, Waller C (2014) The shadow economy as an equilibrium outcome. J Econ Dyn Control 41(C):1–19CrossRefGoogle Scholar
  22. Gomis-Porqueras P, Julien B, Wang C (2017) Strategic advertising and directed search. Int Econ Rev 58(3):783–806CrossRefGoogle Scholar
  23. Julien B, Kennes J, King I (2002) Auctions beat posted prices in a small market. J Inst Theor Econ 158(4):548CrossRefGoogle Scholar
  24. Koreshkova T (2006) A quantitative analysis of inflation as a tax on the underground economy. J Monet Econ 53:773–796CrossRefGoogle Scholar
  25. Krishna V (2003) Asymmetric english auctions. J Econ Theory 112(2):261–288CrossRefGoogle Scholar
  26. Kultti K (1999) Equivalence of auctions and posted prices. Games Econ Behav 27(1):106–113CrossRefGoogle Scholar
  27. Lagos R, Wright R (2005) A unified framework for monetary theory and policy analysis. J Polit Econ 113:463–484CrossRefGoogle Scholar
  28. Loayza N (1996) The economics of the informal sector: a simple model and some empirical evidence from Latin America. Carn-Roch Conf Ser Public Policy 45(1):129–162CrossRefGoogle Scholar
  29. Lu X, McAfee P (1996) The evolutionary stability of auctions over bargaining. Games Econ Behav 15(2):228–254CrossRefGoogle Scholar
  30. McAfee P (1993) Mechanism design by competing sellers. Econometrica 61(6):1281–1312CrossRefGoogle Scholar
  31. Michelacci C, Suarez J (2006) Incomplete wage posting. J Polit Econ 114(6):1098–1123CrossRefGoogle Scholar
  32. Milgrom P, Weber R (1982) A theory of auctions and competitive bidding. Econometrica 50:5Google Scholar
  33. Mollering G (2006) Trust: reason, routine, reflexivity. ElsevierGoogle Scholar
  34. Nicolini J (1998) Tax evasion and the optimal inflation tax. J Dev Econ 55(1):215–232CrossRefGoogle Scholar
  35. Ordonez J (2014) Tax collection, the informal sector, and productivity. Rev Econ Dyn 17:262–286CrossRefGoogle Scholar
  36. Oviedo A, Thomas M, Karakurum-Ozdemir K (2009) Economic informality, causes, costs, and policies - a literature survey. World BankGoogle Scholar
  37. Peters M (1994) Equilibrium mechanisms in a decentralized market. J Econ Theory 64(2):390–423CrossRefGoogle Scholar
  38. Peters M (1995) Decentralized markets and endogenous institutions. Can J Econ 28(2):227–60CrossRefGoogle Scholar
  39. Portes A, Castells M, Benton L (1989) World underneath: the origins, dynamics, and effects of the informal economy. In: Portes A, Castells M, Benton L (eds) The informal economy: studies in advanced and less developed countries. Johns Hopkins, BaltimoreGoogle Scholar
  40. Prado M (2011) Government policy in the formal and informal sectors. Eur Econ Rev 55(8):1120–1136CrossRefGoogle Scholar
  41. Putnins T, Sauka A (2015) Shadow economy index for the baltic states 2009-2014. 4Liberty.eu. Review 3:17–43Google Scholar
  42. Rauch J (1991) Modelling the informal sector formally. J Dev Econ 35(1):33–47CrossRefGoogle Scholar
  43. Wang DH-M, Yu TH-K, Hu H-C (2012) On the asymmetric relationship between the size of the underground economy and the change in effective tax rate in Taiwan. Econ Lett 117:340–343CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Nejat Anbarci
    • 1
  • Pedro Gomis-Porqueras
    • 1
  • Marcus Pivato
    • 2
    • 3
  1. 1.Department of EconomicsDeakin UniversityBurwoodAustralia
  2. 2.Department of Mathematics at Trent UniversityPeterboroughCanada
  3. 3.THEMAUniversité de Cergy-PontoiseCergy-Pontoise cedexFrance

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