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Journal of Politics and Law; Vol. 6, No. 4; 2013 ISSN 1913-9047 E-ISSN 1913-9055 Published by Canadian Center of Science and Education

108

Does Negotiating with Terrorists Make Them More Risk Seeking?

Peter J Phillips1 & Gabriela Pohl2

1 School of Accounting, Economics and Finance, University of Southern Queensland, Toowoomba, Queensland, Australia

2 Gabriela Pohl, School of Humanities and Communication, University of Southern Queensland, Toowoomba, Queensland

Correspondence: Peter J Phillips, School of Accounting, Economics and Finance, University of Southern Queensland, Toowoomba, Queensland 4350, Australia. Tel: 617-4631-5490. Email: phillips@usq.edu.au

Received: August 6, 2013 Accepted: August 30, 2013 Online Published: November 29, 2013 doi:10.5539/jpl.v6n4p108 URL: http://dx.doi.org/10.5539/jpl.v6n4p108

Abstract

We treat government concessions as additions to an expected payoffs schedule rather than as being synonymous with it. Government concessions that add to terrorists’ expected payoffs past some point on a positively sloped risk-reward trade-off schedule will not make all terrorists more risk seeking. Such concessions do not represent certain ‘windfall gains’ to terrorists of the kind that interact with relative and absolute risk aversion. Although the expected payoffs to higher risk actions may be augmented by the government’s concessions, terrorists must still bear risk in order to attain them. Terrorist groups that were unwilling to bear that risk before will not be enticed to bear it after expected payoffs are enhanced. Conversely, negative concessions or penalties will make terrorists more averse to risk because penalties alter the risk-reward trade-off in ways that make lower-risk actions more desirable to risk-averse terrorists. Our paper also explores the risk-reward characteristics of new and innovative terrorist actions relative to the structure of an existing expected payoffs schedule.

Keywords: terrorism, government policy, concessions, penalties, risk, innovation, Red Army Faction, 2nd of June Movement

1. Introduction

In a grainy black and white photograph taken in early 1975, a weary man stares obediently into the camera. The sign he is holding says in block capital lettering, “PETER LORENZ—GEFANGENER DER BEWEGUNG 2. JUNI.” (Note 1) Peter Lorenz was a German politician and mayoral candidate for West Berlin. He was kidnapped by the 2nd of June Movement a few days before the mayoral elections in February 1975. After five days, the German government agreed to grant several concessions to the terrorists on the condition that Lorenz be released unharmed. These concessions included the release of 5 prisoners, transport to Yemen, about 100,000 Deutschmark in cash and media coverage of the departing 707 from Frankfurt airport (Winkler, 2008, p.246). Upon receipt of these concessions, Lorenz was released. The conventional wisdom that terrorists should never be negotiated with was disregarded. It would, however, be reinstated in just a matter of weeks as the German government confronted another set of terrorist demands, this time from the Red Army Faction (RAF) who were holding twelve hostages in the German embassy in Stockholm.

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109

conventional wisdom that concessions make terrorists more likely to engage in terrorist activity and, perhaps, to engage in riskier acts of terrorism.

The optimality of the ‘never negotiate’ policy was subjected to theoretical scrutiny by Lapan and Sandler (1988) but the analysis did not treat risk preferences explicitly. It is not uncommon for analytical work to leave risk preferences implicit and where risk preferences have been incorporated into the analysis, it has been usual to specify a particular type or level of risk preference, hold that specification constant, and explore the impact of government concessions in a comparative statics framework. Sandler, Tschirhart and Cauley’s (1983) analysis is an example (Note 2). These economic studies focus on hostage-taking or kidnapping scenarios where terrorists attempt to bargain with the government in order to extract concessions. The examples with which we opened the paper are typical. Risk preferences have been treated in a similar manner in the international relations literature where the focus has been on inter-group or international conflict. Risk preferences are specified and the solution, if any, to the bargaining problem is determined within the boundaries of that specification. An example is Powell’s (2002) analysis which represents an assessment of Rubinstein’s (1982) ‘standard model’ under conditions of risk neutrality. Powell’s analysis applies to scenarios where a ‘bargaining surplus’ may be divided in different proportions between the ‘players’.

Analytical solutions to a number of the problems that are explored in this and related literature are often more easily attainable when risk preferences are left to one side or where risk neutrality is assumed. This leaves open the possibility for obtaining additional results by exploring what happens when risk preferences are specified in different ways. Skaperdas (2006) operates first under the assumption of risk neutrality before exploring the implications of risk aversion. Related concepts that emerged with the publication and dissemination of Kahneman and Tversky’s (1979; 1992) presentation of prospect theory, especially their concept of loss aversion, have been inserted into bargaining theory. Butler (2007) is representative of modern studies that explore the implications of different psychological and strategic aspects of bargaining, including different treatments of risk preferences, in scenarios previously explored with less nuanced specifications of attitudes towards the risk and potential losses and potential gains. Butler (2007), for example, finds important qualifications to the types of conclusions that might be reached by approaching bargaining problems from an expected value maximisation perspective—Fearon’s (1995) model, for instance—rather than a prospect theoretical perspective (Note 3). We are focused on the following problem. Can government concessions or penalties shape terrorists’ preferences for risk? (Note 4) The setting for this problem is broader than the bargaining scenarios analysed in the papers listed above. The setting is a terrorism context where there are expected payoffs to terrorist actions, which include assassination, hijacking, bombing, hostage-taking and armed assaults. What these expected payoffs may be is still a matter for debate but they may include some or all of the following: the infliction of fatalities, the garnering of media coverage, the fostering of grassroots support, the formation of strategic links with other like-minded terrorist groups and so on (Abrahms 2006; 2008; 2011). We do not treat the concessions—ransoms, release of prisoners, changes of government policy and so forth—that might come from the government in response to an act of terrorism as the payoffs to terrorism. Rather, the government’s concessions or penalties schedule adds to or alters but does not replace an underlying expected payoffs schedule that is characterised by a particular trade-off between risk and reward.

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www.ccsenet.org/jpl Journal of Politics and Law Vol. 6, No. 4; 2013

110

2. The Shape of Payoffs, Concessions and Penalties

Terrorists confront an expected payoffs schedule characterised by some, presumably positive, trade-off between risk and reward. Powell (2002) utilises a purely theoretical risk-reward trade-off. Phillips (2009) treats inflicted human tragedy measured by injuries and fatalities as the payoff to terrorism and sees a positive trade-off between risk and reward emerging empirically from the RAND-MIPT data as a concave set in expected-payoff-risk space. In dealing with bargaining scenarios it is easy to confuse a total payoffs schedule with the government’s concessions schedule. The two will only be synonymous if concessions are the only relevant payoffs to a terrorist action. Usually, though, there will be some payoffs that lie outside of the government’s control or its policy-making regimes. As mentioned in the introduction, these could be one or a combination of many different factors and some of them might be intangible or psychic in nature. A government’s concessions schedule may alter or add to the existing expected payoffs schedule but it is not synonymous with it and does not replace it. A payoffs schedule that incorporates all of the payoffs to terrorism, assuming they can all be measured (Note 5), would be multi-dimensional. We can imagine, however, that the payoffs schedule will be positively inclined in risk-reward space in order to encompass the positive trade-off between risk and reward that confronts terrorists. As Phillips (2009) has shown, different types of terrorist actions can be combined. When risk is measured by standard deviation or variance and the payoffs to each type of action are imperfectly correlated, a positively inclined and concave payoffs schedule emerges in risk-reward space. It is positively inclined because terrorist actions with a higher average payoff are attended by a higher risk or variance of their outcomes. It is concave because imperfect correlation between the payoffs to the different types of terrorism—payoffs to different actions do not move perfectly together over time—introduces concavity as an important aspect of the statistical structure. Only perfectly correlated payoffs across terrorist actions will produce a linear risk-reward trade-off. This concave trade-off between risk and reward that emerges when average payoffs and variance are considered in a context where terrorist actions can be combined is the clearest picture available of the type of statistical properties that may characterise the terrorists’ total or overall payoffs schedule.

We could examine a basic but unrealistic situation where a government’s ‘schedule of concessions’ replaces or becomes synonymous with the total payoffs schedule. However, unless we are willing to assume that concessions from the government are the only payoffs to terrorism this approach would lead us into the difficulties identified by Ross (2004, p.216). Even if we could make such an assumption the resulting analysis would, at best, apply only to a very small number of terrorist actions. The problem of government concessions in a terrorism context must be approached by treating the government’s concessions schedule as something that alters or adds to the payoffs schedule but does not replace it. If the payoffs schedule is characterised by a particular trade-off between risk and reward an alteration of or addition to the payoffs schedule may change this risk-reward trade-off. It is possible that the alteration or addition could increase the payoffs to risky terrorist actions. However, this is different from making those riskier actions more desirable from a terrorist’s point of view. Only if the concessions schedule alters the terrorists’ risk preferences in a manner that makes them more risk seeking will riskier actions—even those attended by higher payoffs than before—be desired by terrorists. If a payoffs schedule to terrorism might be conceived of as depicting a trade-off between risk and reward that is positively inclined and probably concave, the concessions and penalties that might be expected to characterise the government’s strategy or policy towards terrorists must also be shaped in some way. The ‘shape’ of the government’s concessions schedule is important. Recent work in other parts of economics, especially the analyses prepared by Carpenter (2000) and Ross (2004), has focused on the convexity and concavity of ‘incentives schedules’. The problem addressed in the literature that encompasses agency theory and theoretical finance theory or financial economics is analogous to ours. Their problem is to alter or add to a total remuneration schedule with an incentives schedule in order to entice the individual being remunerated to take more or less risk. The language used in this contemporary literature speaks of convexifying or concavifying a utility function. A schedule that convexifies a utility function makes the individual more risk seeking. A schedule that concavifies a utility function makes the individual more averse to risk. The ‘folklore’, as Ross (2004) calls it, in financial economics and agency theory had been that a convex schedule convexifies a utility function while a concave schedule concavifies it. The shape, convex or concave, of the government’s concessions schedule is central to our problem.

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www.ccsenet.org/jpl Journal of Politics and Law Vol. 6, No. 4; 2013

118

they are successful at it, the government may use positively valued concessions to alleviate the crisis without making terrorists more risk seeking.

The analytical treatment of concessions within the terrorism studies literature is quite advanced but relevant results can be found in a research program that is ongoing in other parts of economics. Both Ross (2004) and Carpenter (2000) make some progress in identifying the conditions under which a convex schedule will convexify an agent’s utility function. The type of problem that Ross and Carpenter address is a part of the research program directed towards the investigation of the principal-agent problem. In turn, parts of this research program fall under the broader research program that investigates the role of incentives in economic decision-making and risk taking (Note 11). This literature has received an additional boost following the financial crisis of 2008 where excessive risk taking and misaligned incentives figured prominently in the analytical post-mortems carried out over the ensuing several years (Note 12). The number of theoretical advances since Ross (2004) has not been substantial and his paper remains among the few to rigorously address the problem of whether convex schedules convexify an agent’s utility function (Note 13).

Granting concessions may not be a sub-optimal negotiation strategy but will granting concessions make terrorists more risk seeking? Will granting concessions that increase the expected payoffs to more risky terrorist actions entice terrorists to engage in those actions? We have addressed this question in this paper. Convex positively valued concessions that increase the expected payoffs to risky terrorist actions will not make ‘terrorists’ as a general category more risk seeking. This result emerges clearly when the concessions schedule is treated as being distinct from the expected payoffs schedule. Existing theoretical work has often focussed on exploring decision-making within scenarios where the concessions that may be received from the government are the terrorists’ payoffs. Our treatment, by contrast, sets down an expected payoffs schedule that is altered by the imposition of positive or negative government concessions. Expected payoffs are risky and the actual outcomes of a terrorist action may diverge from those that were expected. Linked as they are in our analysis to the payoffs to risk actions, positive concessions are also risky and uncertain. Although they may increase the expected payoffs to more risky terrorist actions, positive concessions do not represent additions to the terrorists’ accumulated payoffs, resources or ‘wealth’. The expected payoffs schedule is altered but not in a manner that entices the utility maximising risk averse terrorist to engage in riskier actions.

A research program that explores the relationship between incentives, broadly speaking, and terrorist behaviour may be either mathematical or more logical-theoretical in nature. A mathematical approach would build upon the types of results found in Carpenter (2000), Ross (2004) and Braido and Ferreira (2006). In particular, it would be interesting to prove that the results contained in Ross (2004) apply in situations where a terrorist group dynamically accumulates actual payoffs and concessions over time in a series of terrorist actions. Such an analysis would highlight the relevance of decreasing and increasing absolute risk aversion in the examination of terrorist choices in a dynamic setting. Higher mathematics is not the only pathway that may be followed. Incentives shape terrorists’ behaviours in ways that can be explored through logical argument. This paper has pointed out that terrorists’ expected payoffs may be altered by the imposition of concessions and this, in turn, may shape terrorists’ choices of risky actions. Two important problems that may be approached in a similar manner concern the examination of the interaction between incentives provided within a terrorist group and the choices of terrorists associated with that group and the examination of the effects of attempts by terrorist groups to resource, encourage or incentivise lone individual terrorists (Note 14) who are operating more or less independently in dispersed locations. The use of different methods, some drawn from research in other parts of economics, to explore terrorist behaviour will likely yield some worthwhile results.

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Notes

Note 1. Peter Lorenz—prisoner of the Movement 2 June.

Note 2. Also see Landes (1978), Enders and Sandler (1993), Enders and Sandler (2002), Frey and Luechinger (2003) and Siqueira and Sandler (2006).

Note 3. O’Neill’s (2001) discussion of the treatment of risk aversion within international relations theory contributes the background to this discussion.

Note 4. The ‘conventional wisdom’ might be interpreted as follows: governments should not negotiate with terrorists because doing so will encourage terrorism. Lapan and Sandler (1988) looked into the optimality of a ‘never negotiate’ strategy but did not address what seems to be another aspect of the conventional wisdom. That is, granting the terrorists some concessions emboldens them. This could be taken to mean that it encourages more risk seeking.

Note 5. An economist’s approach might be to use monetary equivalents (Enders and Sandler 2002).

Note 6. ‘Wealth’ is the accumulated payoffs of the terrorist or terrorist group or the terrorist or terrorist group’s resources. It might have a monetary equivalent or it might not. The terrorists’ ‘wealth’ is assumed to interact with the terrorists’ relative and absolute risk aversion in the same sense that monetary wealth interacts with an economic agent’s risk aversion in more orthodox settings.

Note 7. For example, in the 1960s and 1970s, much stricter prison sentences were imposed for aircraft ‘skyjacking’ after a spate of incidences (see Landes 1978). This can be analysed as negative additions to the existing expected payoffs schedule.

Note 8. See Ross’s second theorem and its fourth corollary (p.216-217).

Note 9. An individual’s utility is described by both relative and absolute risk aversion (see Pratt 1964). Different specifications of the utility function (power, exponential, logarithmic and quadratic) are characterised by different types of relative and absolute risk aversion. A popular specification is ‘decreasing absolute risk aversion’ (DARA). Individuals with decreasing absolute risk aversion allocate more resources to risky actions as payoffs accumulate.

Note 10. This is a government’s negative concessions or penalties schedule. In this case, relevant causes of death do not include the terrorist’s suicide.

Note 11. See the review by Windram (2005).

Note 12. For example, see Fahlenbrach and Stulz (2011).

Note 13. See Braido and Ferreira (2006), Coles, Daniel and Naveen (2006), Panageas and Westerfield (2009), Dong, Wang and Xie (2010), Tchistyi, Yermack and Yun (2011) and Graham, Harvey and Puri (2013).

Note 14. These could be thought of as ‘quasi’ lone wolves. A true lone wolf terrorist operates alone.

Copyrights

Copyright for this article is retained by the author(s), with first publication rights granted to the journal.

Figure

Figure 1. Conveex concessionss schedule
Figure 22. Adding a coonvex concessiions schedule tto an existing ppayoffs scheduule
Figure 33. Adding a conncave concessiions schedule to an existing payoffs scheddule
Figure 5. Conncave concessions and terroriist preferencess for risk
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References

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