Auction with aftermarket for budget constrained bidders

Masili, Gustavo (2006): Auction with aftermarket for budget constrained bidders.

Abstract

The paper compares different auction formats for sale of a single patented innovation for budget constrained bidders. This unit decreases the marginal cost of production in the aftermarket for its owner by an amount which depends on the money invested on the development of this technology. As the bidders have a fixed budget that must be used to pay the final auction price and also to develop the new technology, the winner has incentives to pay a low amount for his unit to increase the amount available to invest in cost reduction. Conversely the loser has incentives to induce induce a higher price to be paid by the winner in order to increase aftermarket profits. This conflict of interest generates the willingness to pay (WTP) for the patent through an endogenous process, which may end up by stablishing a higher WTP for the lowest financed firm. Given this background, the case in which the players have different initial budgets may generate multiple equilibria for all studied auction mechanisms. These equilibria produce di¤erent consumer surplus and, thus, a central government with an unti-trust behavior is able to choose the auction that generates the re�ned equilibrium leading to the highest consumer surplus.

• Item Type: MPRA Paper
• Institution: UAB
• Language: English
• Keywords: Market design; auction; aftermarket; budget constraints; investment
• Subjects: L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L11 - Production, Pricing, and Market Structure ; Size Distribution of Firms; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games; D - Microeconomics > D4 - Market Structure, Pricing, and Design > D44 - Auctions

References

[1] Bandulet, M. and C. Morasch (2003). Incentives to invest in transport cost reduction - conceptual issues and an application in electronic commerce. Topics in Economic Analysis & Policy, Vol. 3, No. 1, Article 18. [2] Benoit, J-P and V. Krishna (1998). Multiple-object auctions with budget constrained bidders. Review of Economic Studies, Vol. 68, No 1, pp. 155�179. [3] Bergstrom, T. C. and H. R. Varian (1985). Two Remarks on Cournot Equilibrium, Economic Letters, Vol. 19, pp. 5-8. [4] Burguet, R. (2000). Auction theory: A guided tour. Investigaciones Económicas, Vol. 24, pp. 3-50. [5] Burguet, R. and P. McAfee (2005). License prices for financially constrained firms. Working Paper. [6] Che, Y. and I. Gale (1998). Standard auctions with financially constrained bidders. The Review of Economic Studies, Vol. 65, No. 1, pp. 1-21. [7] Flaherty, M. T. (1980). Industry and cost-reducing investment. Econometrica, Vol. 48, No. 5, pp. 1187-1210 [8] Goerre, J. K. (2003). Bidding for the future: signaling in auctions with an aftermarket. Journal of Economic Theory, Vol. 108, pp. 345-364. [9] Krishna, V. (2002). Auction Theory. Academic Press. [10] Maskin, E. (1992). Auctions and privatization. In Privatization. Edited by H. Siebert. Institut fur Weltwertschaft an der Universitat Kiel. [11] Pagnozzi, M. (2005). Bidding to lose? Auctions with resale. Working Paper. [12] Pitchik, C. (2006). Budget-constrained sequential auctions with incomplete information. [13] Pitchik, C. and A. Schotter (1988). Perfect equilibria in budget constrained sequential auctions: An experimental study. The RAND Journal of Economics, Vol. 19, No. 3, pp. 363-388. [14] Schwartz, M. (1989). Investments in Oligopoly: Welfare effects and tests for predation. Oxford Economic Papers, New Series, Vol. 41, No. 4, pp. 698-719. [15] Shapiro, C. (1989). Theories of oligopoly behavior. In Handbook of Industrial Organization. Edited by R. Schmalensee and R. D. Willig. Elsevier Science Publisher B. V.. [16] Shleifer, A. and R. Vishny (1992). Liquidation values and debt capacity: A market equilibrium approach. Journal of Finance, Vol. 47, pp. 1343-1365.