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on Game Theory |
By: | Hammond, Peter J. (Department of Economics, University of Warwick) |
Abstract: | Von Neumann (1928) not only introduced a fairly general version of the extensive form game concept. He also hypothesized that only the normal form was relevant to rational play. Yet even in Battle of the Sexes, this hypothesis seems contradicted by players' actual behaviour in experiments. Here a refined Nash equilibrium is proposed for games where one player moves first, and the only other player moves second without knowing the first move. The refinement relies on a tacit understanding of the only credible and straightforward perfect Bayesian equilibrium in a corresponding game allowing a predictable direct form of cheap talk. |
Date: | 2008 |
URL: | http://d.repec.org/n?u=RePEc:wrk:warwec:835&r=gth |
By: | Luis G. Gonzalez (Max Planck Institute of Economics, Jena, Germany); M. Vittoria Levati (Max Planck Institute of Economics, Jena, Germany) |
Abstract: | In a two-person ï¬nitely repeated public goods experiment, we use intentions data to interpret individual behavior. Based on a random-utility model speciï¬cation, we develop a relationship between a player's beliefs about others' behavior and his contributions' plans, and use this relationship to identify the player's most likely preference "type". Our estimation analysis indicates that players are heterogeneous in their preferences also at the intentional level. Moreover, our data show that deviations from intended actions are positively related to changes in beliefs, thereby suggesting that people are able to plan. |
Keywords: | Public goods games, Experiments, Latent-class logit, Conditional cooperation |
JEL: | C70 C72 C92 H41 |
Date: | 2007–12–20 |
URL: | http://d.repec.org/n?u=RePEc:jrp:jrpwrp:2007-104&r=gth |
By: | Spiliopoulos, Leonidas |
Abstract: | This paper is concerned with the modeling of strategic change in humans’ behavior when facing different types of opponents. In order to implement this efficiently a mixed experimental setup was used where subjects played a game with a unique mixed strategy Nash equilibrium for 100 rounds against 3 preprogrammed computer algorithms (CAs) designed to exploit different modes of play. In this context, substituting human opponents with computer algorithms designed to exploit commonly occurring human behavior increases the experimental control of the researcher allowing for more powerful statistical tests. The results indicate that subjects significantly change their behavior conditional on the type of CA opponent, exhibiting within-sub jects heterogeneity, but that there exists comparatively little between-subjects heterogeneity since players seemed to follow very similar strategies against each algorithm. Simple heuristics, such as win-stay/lose-shift, were found to model subjects and make out of sample predictions as well as, if not better than, more complicated models such as individually estimated EWA learning models which suffered from overfitting. Subjects modified their strategies in the direction of better response as calculated from CA simulations of various learning models, albeit not perfectly. Examples include the observation that subjects randomized more effectively as the pattern recognition depth of the CAs increased, and the drastic reduction in the use of the win-stay/lose-shift heuristic when facing a CA designed to exploit this behavior. |
Keywords: | Behavioral game theory; Learning; Experimental economics; Simulations; Experience weighted attraction learning; Simulations; Repeated games; Mixed Strategy Nash equilibria; Economics and psychology |
JEL: | C9 C63 C70 C73 C72 C91 |
Date: | 2008–01–09 |
URL: | http://d.repec.org/n?u=RePEc:pra:mprapa:6672&r=gth |
By: | José Alcalde (Universidad de Alicante); Matthias Dahm (Universitat Rovira i Virgili) |
Abstract: | We analyze (non-deterministic) contests with anonymous contest success functions. There is no restriction on the number of contestants or on their valuations for the prize. We provide intuitive and easily verifiable conditions for the existence of an equilibrium with properties similar to the one of the (deterministic) all-pay auction. Since these conditions are fulfilled for a wide array of situations, the predictions of this equilibrium are very robust to the specific details of the contest. An application of this result contributes to fill a gap in the analysis of the popular Tullock rent- seeking game because it characterizes properties of an equilibrium for increasing returns to scale larger than two, for any number of contestants and in contests with or without a common value. |
Keywords: | (non-) deterministic contest, all-pay auction, contest success functions. |
JEL: | C72 D72 D44 |
Date: | 2007–12 |
URL: | http://d.repec.org/n?u=RePEc:ivi:wpasad:2007-27&r=gth |
By: | BECCHETTI LEONARDO; DEGLI ANTONI GIACOMO |
Abstract: | We perform a standard trust game experiment in which questionnaires are alternatively administered to participants after the experiment and before even knowing the rules of the game. We find that self declared happiness is significantly affected by trustors’ contribution only when survey questions are answered after having played. This result contributes both to the empirical happiness and behavioural experimental literature. With respect to the first, we demonstrate that general questions on self declared life satisfaction evaluated over the entire life period are affected by most recent events. With respect to the second, we interpret our findings as supporting the existence of “warm glow” preferences. We think that our contribution has also important methodological consequences: warm glow preferences cannot just be tested with the standard approach inferring implied preference structures from players’ choices. Only when measuring ex post the effects on happiness of players’ contribution, net of the outcome of the game, we may conclude that their choice to contribute is due to altruistic and not to strategic motivations. Finally our finding is a confirmation of the importance of experience and not just procedural utility. In our experiment trustor happiness is not affected by the outcome of the game but by the specific pattern of chosen actions, irrespective of the final result. |
Date: | 2007–12 |
URL: | http://d.repec.org/n?u=RePEc:rtv:ceiswp:263&r=gth |
By: | David Masclet Auray (CREM - CNRS - CIRANO); Thierry Pénard (CREM – CNRS - University of Rennes 1) |
Abstract: | The eBay Feedback Forum is claimed to be a crucial component of the success of eBay. Many empirical studies have found that this feedback system exerts a deterrent effect on the opportunistic behavior the Internet's anonymity may incite buyers and sellers to adopt. The feedback system in place on eBay is however far from being perfect and may be especially vulnerable to strategic ratings (or nonratings) that might reduce the informational content of feedback profiles. This article aims to examine the efficiency of the eBay feedback system, through a set of experiments based on the trust game. Our experimental design consists of four different treatments. The baseline treatment corresponds to a finite repeated simultaneous trust game. The second treatment, called “eBay rating” is identical to the baseline treatment except that we added a second stage in which the players have the opportunity of rating their partner. In this treatment, each participant is given the choice to either evaluate immediately or wait, knowing that only one rating will be accepted. The third treatment, called "Sequential rating" is identical to the “eBay rating” treatment, except that the order in which players evaluate one another is randomly determined by the computer. Finally in the fourth treatment, called “Simultaneous rating”, both players are required to make their rating decisions simultaneously. Our experimental results indicate that the eBay feedback system could be improved by either constraining partners to leave ratings simultaneously or by predetermining the rating sequence. |
JEL: | C92 C72 L14 L86 |
Date: | 2008 |
URL: | http://d.repec.org/n?u=RePEc:tut:cremwp:200803&r=gth |
By: | Klaus Abbink; Jordi Brandts; Benedikt Herrmann; Henrik Orzen |
Abstract: | We study how conflict in a contest game is influenced by rival parties being groups and by group members being able to punish each other. Our main motivation stems from the analysis of socio-political conflict. The relevant theoretical prediction in our setting is that conflict expenditures are independent of group size and independent of whether punishment is available or not. We find, first, that our results contradict the independence of group-size prediction: conflict expenditures of groups are substantially larger than those of individuals, and both are substantially above equilibrium. Towards the end of the experiment material losses in groups are 257% of the predicted level. There is, however, substantial heterogeneity in the investment behaviour of individual group members. Second, allowing group members to punish each other after individual contributions to the contest effort are revealed leads to even larger conflict expenditures. Now material losses are 869% of the equilibrium level and there is much less heterogeneity in individual group members? investments. These results contrast strongly with those from public goods experiments where punishment enhances efficiency and leads to higher material payoffs. |
Keywords: | Laboratory experiments, Rent-seeking, Conflict, Group competitiveness |
JEL: | C90 D72 D74 F51 H41 |
Date: | 2008–01–15 |
URL: | http://d.repec.org/n?u=RePEc:aub:autbar:723.08&r=gth |