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Inspection Games

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  • First Online:
Complex Social and Behavioral Systems
  • Originally published in
  • R. A. Meyers (ed.), Encyclopedia of Complexity and Systems Science, © Springer Science+Business Media LLC 2017

Glossary

Deterrence:

In an inspection game, deterrence is said to be achieved by a Nash equilibrium in which the inspectee behaves legally, or in accordance with the agreed rule.

Extensive form:

The extensive form of a noncooperative game is a graphical representation which describes a succession of moves by different players, including chance moves, and which can handle quite intricate information patterns.

Inspector leadership:

Leadership in inspection games is a strategic concept by which, through persuasive announcement of her strategy, the inspector can achieve deterrence.

Mixed strategy:

A mixed strategy for a player in a noncooperative game is a probability distribution over that player’s pure strategies.

Nash equilibrium:

A Nash equilibrium in a noncooperative game is a specification of strategies for all players with the property that no player has an incentive to deviate unilaterally from her specified strategy. A solutionof a noncooperative game is a Nash equilibrium which...

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Bibliography

  • Avenhaus R (1997) Entscheidungstheoretische Analyse der Fahrgast-Kontrollen. Der Nahverkehr 9:27

    Google Scholar 

  • Avenhaus R, Canty MJ (1989) Re-examination of the IAEA formula for stratified attribute sampling. In: Proceedings of the 11th ESARDA symposium, JRC, Ispra, pp 351–356

    Google Scholar 

  • Avenhaus R, Canty MJ (1996) Compliance quantified. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Avenhaus R, Canty MJ (2005) Playing for time: a sequential inspection game. Eur J Oper Res 167(2):474–492

    MathSciNet  MATH  Google Scholar 

  • Avenhaus R, Jaech JL (1981) On subdividing material balances in time and/or space. J Inst Nucl Manag IV(3):24–33

    Google Scholar 

  • Avenhaus R, Okada A, Zamir S (1991) Inspector leadership with incomplete information. In: Selten R (ed) Game equilibrium models, vol IV. Springer, Heidelberg, pp 319–361

    Google Scholar 

  • Avenhaus R, Canty MJ, Kilgour DM, von Stengel B, Zamir S (1996) Inspection games in arms control. Eur J Oper Res 90:383–394

    MATH  Google Scholar 

  • Avenhaus R, von Stengel B, Zamir S (2002) Inspection games. In: Aumann R, Hart S (eds) Handbook of game theory. Elsevier, Amsterdam, pp 1947–1987

    Google Scholar 

  • Baiman S (1982) Agency research in managerial accounting: a survey. J Account Lit 1:154–213

    Google Scholar 

  • Baston VJ, Bostock FA (1991) A remark on the customs smuggler game. Nav Res Logist 41:287–293

    MathSciNet  Google Scholar 

  • Bierlein D (1968) Direkte Überwachungssysteme. Oper Res Verfahr 6:57–68

    MATH  Google Scholar 

  • Bierlein D (1969) Auf Bilanzen und Inventuren basierenden Safeguards-Systeme. Oper Res Verfahr 6:36–43

    MATH  Google Scholar 

  • Borch K (1990) Economics of insurance. North-Holland, Amsterdam

    Google Scholar 

  • Cavasoglu H, Raghunatahan S (2004) Configuration of detection software: a comparison of decision and game theory. Decis Anal 1:131–148

    Google Scholar 

  • Cook J, Nadeau L, Thomas LC (1997) Does cooperation in auditing matter? A comparison of a non-cooperative and a cooperative game model of auditing. Eur J Oper Res 103:470–482

    MATH  Google Scholar 

  • Derman C (1961) On minimax surveillance schedules. Nav Res Logist 8:415–419

    MATH  Google Scholar 

  • Diamond H (1982) Minimax policies for unobservable inspections. Math Oper Res 7(1):139–153

    MathSciNet  MATH  Google Scholar 

  • Dresher M (1962) A sampling inspection problem in arms control agreements: a game theoretical analysis. Memorandum RM-2972-ARPA. RAND Corporation, Santa Monica

    Google Scholar 

  • Dye RA (1986) Optimal monitoring policies in agencies. RAND J Econ 17:339–350

    Google Scholar 

  • Ferguson TS, Melolidakis C (1998) On the inspection game. Nav Res Logist 45:327–334

    MathSciNet  MATH  Google Scholar 

  • Garnaev AY (1991) A generalized inspection game. Nav Res Logist 28:171–188

    MathSciNet  Google Scholar 

  • Goutal P, Garnaev A, Garnaeva G (1997) On the infiltration game. Int J Game Theory 26(2):215–221

    MathSciNet  MATH  Google Scholar 

  • Höpfinger E (1971) A game-theoretic analysis of an inspection problem, University of Karlsruhe (unpublished manuscript)

    Google Scholar 

  • Höpfinger E (1974) Zuverlässige Inspektionsstrategien. Z Wahrscheinlichkeitstheorie Verw Geb 31:35–46

    MATH  Google Scholar 

  • Hozaki R, Kuhdoh D, Komiya T (2006) An inspection game: taking account of fulfillment probabilities of players. Nav Res Logist 53:761–771

    MathSciNet  Google Scholar 

  • IAEA (1972) The structure and content of agreements between the agency and states required in connection with the treaty on the non-proliferation of nuclear weapons. IAEA, Vienna, INF/CIRC 153 (corrected)

    Google Scholar 

  • IAEA (1997) Model protocol additional to the agreement(s) between state(s) and the international atomic energy agency for the application of safeguards. IAEA, Vienna, INF/CIRC 140

    Google Scholar 

  • Kanodia CS (1985) Stochastic and moral hazard. J Account Res 23:175–293

    Google Scholar 

  • Kilgour DM (1992) Site selection for on-site inspection in arms control. Arms Control 13:439–462

    Google Scholar 

  • Krieger T (2008) On the asymptotic behavior of a discrete time inspection game. Math Model Anal 13(1):37–46

    MathSciNet  MATH  Google Scholar 

  • Kuhn HW (1953) Extensive games and the problem of information. In: Kuhn HW, Tucker AW (eds) Contributions to the theory of games, vol II. Princeton University Press, Princeton, pp 193–216

    Google Scholar 

  • Maschler M (1966) A price leadership method for solving the inspector’s non-constant-sum game. Nav Res Logist 13:11–33

    MATH  Google Scholar 

  • Maschler M (1967) The inspector’s non-constant-sum-game: its dependence on a system of detectors. Nav Res Logist 14:275–290

    MATH  Google Scholar 

  • Morris P (1994) Introduction to game theory. Springer, New York

    MATH  Google Scholar 

  • Nash JF (1951) Non-cooperative games. Ann Math 54:286–295

    MathSciNet  MATH  Google Scholar 

  • O’Neill B (1994) Game theory models of peace and war. In: Aumann R, Hart S (eds) Handbook of game theory. Elsevier, Amsterdam, pp 995–1053

    MATH  Google Scholar 

  • Ostrom E, Gardner R, Walker J (1994) Rules, games and common pool resources. University of Michigan Press, Ann Arbor

    Google Scholar 

  • Owen G (1968) Game theory. W. B. Saunders, Philadelphia

    MATH  Google Scholar 

  • Pavlovic L (2002) More on the search for an infiltrator. Nav Res Logist 49:1–14

    MathSciNet  MATH  Google Scholar 

  • Rinderle K (1996) Mehrstufige sequentielle Inspektionsspiele mit statistischen Fehlern erster und zweiter Art. Kovac, Hamburg

    Google Scholar 

  • Rohatgi VK (1976) An introduction to probability theory and mathematical statistics. Wiley, New York

    MATH  Google Scholar 

  • Rothenstein D, Zamir S (2002) Imperfect inspection games over time. Ann Oper Res 109:175–192

    MathSciNet  MATH  Google Scholar 

  • Sakaguchi M (1994) A sequential game of multi-opportunity infiltration. Math Jpn 39:157–166

    MathSciNet  MATH  Google Scholar 

  • Schelling TC (1960) The strategy of conflict. Harvard University Press, Cambridge, MA

    MATH  Google Scholar 

  • Simaan M, Cruz JB (1973) On the Stackelberg strategy in nonzero-sum games. J Optim Theory Appl 11(5):533–555

    MathSciNet  MATH  Google Scholar 

  • von Neumann J, Morgenstern O (1947) Theory of games and economic behavior. Princeton University Press, Princeton

    MATH  Google Scholar 

  • von Stackelberg H (1934) Marktform und Gleichgewicht. Springer, Vienna

    MATH  Google Scholar 

  • von Stengel B (1991) Recursive inspection games, Report No. S 9106. Computer Science Faculty, Armed Forces University Munich

    Google Scholar 

  • Stewart KB (1971) A cost-effectiveness approach to inventory verification. In: Proceedings of the IAEA symposium on safeguards techniques, vol II. International Atomic Energy Agency, Vienna, pp 387–409

    Google Scholar 

  • Thomas MU, Nisgav Y (1976) An infiltration game with time-dependent payoff. Nav Res Logist 23:297–320

    MATH  Google Scholar 

  • Wilks TJ, Zimbelman MF (2004) Using game theory and strategic reasoning concepts to prevent and detect fraud. Account Horiz 18(3):173–184

    Google Scholar 

  • Wölling A (2002) Das Führerschaftsprinzip bei Inspektionsspielen. Kovac, Hamburg

    Google Scholar 

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Correspondence to Rudolf Avenhaus .

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Avenhaus, R., Canty, M.J. (2020). Inspection Games. In: Sotomayor, M., Pérez-Castrillo, D., Castiglione, F. (eds) Complex Social and Behavioral Systems . Encyclopedia of Complexity and Systems Science Series. Springer, New York, NY. https://doi.org/10.1007/978-1-0716-0368-0_287

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