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Dynamic Games in Finance

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Handbook of Dynamic Game Theory
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Abstract

Finance is a discipline that encompasses all the essential ingredients of dynamic games, through the involvement of investors, managers, and financial intermediaries as players who have competing interests and who interact strategically over time. This chapter presents various applications of dynamic game models used in the broad area of finance, with the objective of illustrating the scope of possibilities in this field. Both corporate and investment finance applications are presented. Topics covered include game options and their use as financial instruments, bankruptcy games and their association with the valuation of debt and equity, and dynamic game models used to explain empirical observations about the financial decisions made by firms, for instance, on capital structure, dividend payments, and investment choices. In each case, the presentation highlights the game’s various ingredients, the choice of the equilibrium concept, and the solution approach used. The chapter’s focus is on the contributions made by dynamic game models to financial theory and practice.

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Notes

  1. 1.

    The sharing rule is not determined according to the APR but rather as a Nash bargaining solution where the players have exogenously fixed bargaining powers.

References

  • Acharya V, Huang JZ, Subrahmanyam M, Sundaram RK (2006) When does strategic debt-service matter? Econ Theory 29(2):363–378

    Article  MathSciNet  MATH  Google Scholar 

  • Allen F, Morris S (2014) Game theory models in finance. In: Chatterjee K, Samuelson WF (eds) Game theory and business applications. Springer U.S. international series in operations research & management science, vol 194, 2nd edn. Kluwer Academic Publishers, Dortrecht, pp 17–41

    Google Scholar 

  • Allen F, Bernardo AE, Welch I (2000) A theory of dividends based on tax clienteles. J Finance 55(6):2499–2536

    Article  Google Scholar 

  • Almazan A, Suarez J (2003) Managerial compensation and the market reaction to bank loans. Rev Financ Stud 16(1):237–261

    Article  Google Scholar 

  • Anderson RW, Nyborg KG (2011) Financing and corporate growth under repeated moral hazard. J Financ Intermed 20(1):1–24

    Article  Google Scholar 

  • Anderson RW, Sundaresan S (1996) Design and valuation of debt contracts. Rev Financ Stud 9(1):37–68

    Article  Google Scholar 

  • Anderson RW, Sundaresan S, Tychon P (1996) Strategic analysis of contingent claims. Eur Econ Rev 40(3):871–881

    Article  Google Scholar 

  • Annabi A, Breton M, François P (2012a) Game theoretic analysis of negotiations under bankruptcy. Eur J Oper Res 221(3):603–613

    Article  MathSciNet  MATH  Google Scholar 

  • Annabi A, Breton M, François P (2012b) Resolution of financial distress under, Chapter 11. J Econ Dyn Control 36(12):1867–1887

    Article  MathSciNet  MATH  Google Scholar 

  • Baker M, Mendel B, Wurgler J (2015) Dividends as reference points: a behavioral signaling approach. Rev Financ Stud 29(3):697–738

    Google Scholar 

  • Ben-Ameur H, Breton M, Karoui L, L’Ecuyer P (2007) A dynamic programming approach for pricing options embedded in bonds. J Econ Dyn Control 31(7):2212–2233

    Article  MathSciNet  MATH  Google Scholar 

  • Berglöf E, Von Thadden EL (1994) Short-term versus long-term interests: capital structure with multiple investors. Q J Econ 109(4):1055–1084

    Article  MATH  Google Scholar 

  • Berglöf E, Roland G, Von Thadden EL (2000) An incomplete contracts approach to corporate bankruptcy. Université de Lausanne, Cahiers de Recherches Economiques du DEEP, 00.12

    Google Scholar 

  • Berkovitch E, Israel R (1998) The bankruptcy decision and debt contract renegotiations. Eur Finance Rev 2(1):1–27

    Article  MATH  Google Scholar 

  • Bhattacharya S (1979) Imperfect information, dividend policy, and “the bird in the hand” fallacy. Bell J Econ 10(1):259–270

    Article  Google Scholar 

  • Bielecki TR, Crépey S, Jeanblanc M, Rutkowski M (2008) Arbitrage pricing of defaultable game options with applications to convertible bonds. Quant Finance 8(8):795–810

    Article  MathSciNet  MATH  Google Scholar 

  • Black F (1976) The dividend puzzle. J Portf Manag 2(2):5–8

    Article  Google Scholar 

  • Bolton P, Scharfstein DS (1996) Optimal debt structure and the number of creditors. J Polit Econ 104(1):1–25

    Article  Google Scholar 

  • Brennan MJ, Schwartz ES (1980) Analyzing convertible bonds. J Financ Quant Anal 15(04): 907–929

    Article  Google Scholar 

  • Broadie M, Chernov M, Sundaresan S (2007) Optimal debt and equity values in the presence of Chapter 7 and Chapter 11. J Finance 62(3):1341–1377

    Article  Google Scholar 

  • Brown DT (1989) Claimholder incentive conflicts in reorganization: the role of bankruptcy law. Rev Financ Stud 2(1):109–123

    Article  Google Scholar 

  • Bruche M (2011) Creditor coordination, liquidation timing, and debt valuation. J Financ Quant Anal 46(05):1407–1436

    Article  Google Scholar 

  • Bruche M, Naqvi H (2010) A structural model of debt pricing with creditor-determined liquidation. J Econ Dyn Control 34(5):951–967

    Article  MathSciNet  MATH  Google Scholar 

  • Buehlmaier MM (2014) Debt, equity, and information. J Math Econ 50:54–62

    Article  MathSciNet  MATH  Google Scholar 

  • Chen N, Dai M, Wan X (2013) A nonzero-sum game approach to convertible bonds: tax benefit, bankruptcy cost, and early/late calls. Math Finance 23(1):57–93

    Article  MathSciNet  MATH  Google Scholar 

  • Christensen PO, Flor CR, Lando D, Miltersen KR (2014) Dynamic capital structure with callable debt and debt renegotiations. J Corp Finance 29:644–661

    Article  Google Scholar 

  • Constantinides GM (1984) Warrant exercise and bond conversion in competitive markets. J Financ Econ 13(3):371–397

    Article  MathSciNet  Google Scholar 

  • Constantinides GM, Grundy BD (1989) Optimal investment with stock repurchase and financing as signals. Rev Financ Stud 2(4):445–465

    Article  Google Scholar 

  • Constantinides GM, Rosenthal RW (1984) Strategic analysis of the competitive exercise of certain financial options. J Econ Theory 32(1):128–138

    Article  MathSciNet  MATH  Google Scholar 

  • d’Halluin Y, Forsyth PA, Vetzal KR, Labahn G (2001) A numerical PDE approach for pricing callable bonds. Appl Math Finance 8(1):49–77

    Article  MATH  Google Scholar 

  • Dynkin E (1969) Game variant of a problem on optimal stopping. Sov Math Dokl 10:270–274

    MATH  Google Scholar 

  • Emanuel DC (1983) Warrant valuation and exercise strategy. J Financ Econ 12(2):211–235

    Article  Google Scholar 

  • Fan H, Sundaresan SM (2000) Debt valuation, renegotiation, and optimal dividend policy. Rev Financ Stud 13(4):1057–1099

    Article  Google Scholar 

  • Fluck Z (1998) Optimal financial contracting: debt versus outside equity. Rev Financ Stud 11(2):383–418

    Article  Google Scholar 

  • Fluck Z (1999) The dynamics of the management-shareholder conflict. Rev Financ Stud 12(2):379–404

    Article  Google Scholar 

  • François P, Morellec E (2004) Capital structure and asset prices: some effects of bankruptcy procedures. J Bus 77(2):387–411

    Article  Google Scholar 

  • François P, Hübner G, Papageorgiou N (2011) Strategic analysis of risk-shifting incentives with convertible debt. Q J Finance 1(02):293–321

    Article  Google Scholar 

  • Gennaioli N, Rossi S (2013) Contractual resolutions of financial distress. Rev Financ Stud 26(3):602–634

    Article  Google Scholar 

  • Gomes A (2000) Going public without governance: managerial reputation effects. J Finance 55(2):615–646

    Article  Google Scholar 

  • Guttman I, Kadan O, Kandel E (2010) Dividend stickiness and strategic pooling. Rev Financ Stud 23(12):4455–4495

    Article  Google Scholar 

  • Hamadène S, Zhang J (2010) The continuous time nonzero-sum Dynkin game problem and application in game options. SIAM J Control Optim 48(5):3659–3669

    Article  MathSciNet  MATH  Google Scholar 

  • Hart O, Moore J (1989) Default and renegotiation: a dynamic model of debt. MIT Working Paper No. 520, revised as University of Edinburgh Discussion Paper

    Google Scholar 

  • Hart O, Moore J (1997) Default and renegotiation: a dynamic model of debt (No. w5907). National Bureau of Economic Research

    Google Scholar 

  • Hege U, Mella-Barral P (2005) Repeated dilution of diffusely held debt. J Bus 78(3):737–786

    Article  Google Scholar 

  • Heinkel R, Zechner J (1990) The role of debt and preferred stock as a solution to adverse investment incentives. J Financ Quant Anal 25(1):1–24

    Article  Google Scholar 

  • Hilli A, Laussel D, Van Long N (2013) Large shareholders, monitoring, and ownership dynamics: toward pure managerial firms? J Econ Dyn Control 37(3):666–679

    Article  MathSciNet  MATH  Google Scholar 

  • Hirshleifer D, Thakor AV (1992) Managerial conservatism, project choice, and debt. Rev Financ Stud 5(3):437–470

    Article  Google Scholar 

  • Hull J, White A (1990) Pricing interest-rate-derivative securities. Rev Financ Stud 3(4):573–592

    Article  Google Scholar 

  • Hvide HK, Leite TE (2010) Optimal debt contracts under costly enforcement. Econ Theory 44(1):149–165

    Article  MathSciNet  MATH  Google Scholar 

  • Jalan P, Barone-Adesi G (1995) Equity financing and corporate convertible bond policy. J Bank Finance 19(2):187–206

    Article  Google Scholar 

  • John K, Nachman DC (1985) Risky debt, investment incentives, and reputation in a sequential equilibrium. J Finance 40(3):863–878

    Article  Google Scholar 

  • Jørgensen S, Kort PM, Geert-Jan CT, Schijndel V (1989) Optimal investment, financing, and dividends: a Stackelberg differential game. J Econ Dyn Control 13(3):339–377

    Article  MathSciNet  MATH  Google Scholar 

  • Kale JR, Noe TH (1990) Risky debt maturity choice in a sequential game equilibrium. J Financ Res 13(2):155–166

    Article  Google Scholar 

  • Kaya A (2009) Repeated signaling games. Games Econ Behav 66(2):841–854

    Article  MathSciNet  MATH  Google Scholar 

  • Kifer Y (2000) Game options. Finance Stochast 4(4):443–463

    Article  MathSciNet  MATH  Google Scholar 

  • Koziol C (2006) Optimal exercise strategies for corporate warrants. Quant Finance 6(1):37–54

    Article  MathSciNet  MATH  Google Scholar 

  • Krasa S, Villamil AP (2000) Optimal contracts when enforcement is a decision variable. Econometrica 68(1):119–134

    Article  MATH  Google Scholar 

  • Krasa S, Sharma T, Villamil AP (2008) Bankruptcy and firm finance. Econ Theory 36(2):239–266

    Article  MathSciNet  MATH  Google Scholar 

  • Kühn C (2004) Game contingent claims in complete and incomplete markets. J Math Econ 40(8):889–902

    Article  MathSciNet  MATH  Google Scholar 

  • Kumar P (1988) Shareholder-manager conflict and the information content of dividends. Rev Financ Stud 1(2):111–136

    Article  MathSciNet  Google Scholar 

  • Kumar P, Lee BS (2001) Discrete dividend policy with permanent earnings. Financ Manag 30:55–76

    Article  Google Scholar 

  • Lambrecht BM, Myers SC (2016) Agency dynamics in corporate finance. Ann Rev Financ Econ 8:53–80

    Article  Google Scholar 

  • Leland HE (1994) Corporate debt value, bond covenants, and optimal capital structure. J Finance 49(4):1213–1252

    Article  Google Scholar 

  • Leland HE, Pyle DH (1977) Informational asymmetries, financial structure, and financial intermediation. J Finance 32(2):371–387

    Article  Google Scholar 

  • Leland HE, Toft KB (1996) Optimal capital structure, endogenous bankruptcy, and the term structure of credit spreads. J Finance 51(3):987–1019

    Article  Google Scholar 

  • McConnell JJ, Schwartz ES (1986) LYON taming. J Finance 41(3):561–577

    Article  Google Scholar 

  • Mella-Barral P (1999) The dynamics of default and debt reorganization. Rev Financ Stud 12(3):535–578

    Article  Google Scholar 

  • Mella-Barral P, Perraudin W (1997) Strategic debt service. J Finance 52(2):531–556

    Article  Google Scholar 

  • Meneghetti C (2012) Managerial incentives and the choice between public and bank debt. J Corp Finance 18(1):65–91

    Article  Google Scholar 

  • Merton RC (1974) On the pricing of corporate debt: the risk structure of interest rates. J Finance 29(2):449–470

    Google Scholar 

  • Miller MH, Rock K (1985) Dividend policy under asymmetric information. J Finance 40(4): 1031–1051

    Article  Google Scholar 

  • Moraux F, Silaghi F (2014) Inside debt renegotiation: optimal debt reduction, timing, and the number of rounds. J Corp Finance 27:269–295

    Article  Google Scholar 

  • Myers SC, Majluf NS (1984) Corporate financing and investment decisions when firms have information that investors do not have. J Financ Econ 13(2):187–221

    Article  Google Scholar 

  • Noe TH (1988) Capital structure and signaling game equilibria. Rev Financ Stud 1(4):331–355

    Article  Google Scholar 

  • Noe TH, Wang J (2000) Strategic debt restructuring. Rev Financ Stud 13(4):985–1015

    Article  Google Scholar 

  • Park C (2000) Monitoring and structure of debt contracts. J Finance 55(5):2157–2195

    Article  Google Scholar 

  • Repullo R, Suarez J (1998) Monitoring, liquidation, and security design. Rev Financ Stud 11(1):163–187

    Article  Google Scholar 

  • Ross SA (1977) The determination of financial structure: the incentive-signalling approach. Bell J Econ 8(1):23–40

    Article  Google Scholar 

  • Sîrbu M, Shreve SE (2006) A two-person game for pricing convertible bonds. SIAM J Control Optim 45(4):1508–1539

    Article  MathSciNet  MATH  Google Scholar 

  • Thakor AV (1991) Game theory in finance. Financ Manag 20(1):71–94

    Article  Google Scholar 

  • Thomson W (2003) Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey. Math Soc Sci 45(3):249–297

    Article  MathSciNet  MATH  Google Scholar 

  • Thomson W (2015) Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update. Math Soc Sci 74:41–59

    Article  MathSciNet  MATH  Google Scholar 

  • von Thadden EL, Berglöf E, Roland G (2010) The design of corporate debt structure and bankruptcy. Rev Financ Stud 23(7):2648–2679

    Article  Google Scholar 

  • Wang H (2011) Managerial entrenchment, equity payout and capital structure. J Bank Finance 35(1):36–50

    Article  Google Scholar 

  • Yagi K, Sawaki K (2010) The pricing and optimal strategies of callable warrants. Eur J Oper Res 206(1):123–130

    Article  MathSciNet  MATH  Google Scholar 

  • Zwiebel J (1996) Dynamic capital structure under managerial entrenchment. Am Econ Rev 86(5):1197–1215

    Google Scholar 

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Correspondence to Michèle Breton .

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Breton, M. (2018). Dynamic Games in Finance. In: Basar, T., Zaccour, G. (eds) Handbook of Dynamic Game Theory. Springer, Cham. https://doi.org/10.1007/978-3-319-27335-8_23-1

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  • DOI: https://doi.org/10.1007/978-3-319-27335-8_23-1

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