The Coming of Game Theory

Gambarelli, Gianfranco; Owen, Guillermo

doi:10.1007/s11238-004-5629-3

Cited by 9 publications

(8 citation statements)

References 33 publications

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“…Game theory is the science of optimal decision-making of independent and competing players in a strategic setting. For those wishing to find out more about game theory and relative historical grounds, reference should be made to Owen (1968) and Gambarelli and Owen (2004). Although game theory is deeply rooted in economic issues, there are several applications to sports strategy, including e.g.…”

Section: Literature Reviewmentioning

confidence: 99%

Offensive or defensive play in soccer: a game-theoretical approach

Gambarelli¹,

Gambarelli

Goossens

2019

Journal of Quantitative Analysis in Sports

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In many sports, such as soccer, a coach has to decide whether to adopt an “offensive” or a “defensive” approach to a match. This strategic decision depends on the strengths and weaknesses of his team with respect to the opponent, but also on the strategy chosen by the opponent’s coach. The fact that a draw also results in a point, which may be important for the ranking, further complicates this decision, as the coach must assess whether it is better to adopt a defensive team formation in order to obtain a draw, or to aim for victory despite the increased risk of defeat. We study this topic by means of a game-theoretical approach, and we develop an algorithm which allows to compute the optimal strategy. The algorithm tests the stability of the outcome with respect to uncertainty in the estimated win probabilities. Furthermore, our approach can handle in-game events, which may provoke changes in optimal strategy. Finally, our model also allows us to assess the effect of various point systems on the willingness of teams to opt for attacking play. Our method is applied to a case study, based on the match Italy – Costa Rica (World Cup 2014).

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Section: Literature Reviewmentioning

confidence: 99%

Offensive or defensive play in soccer: a game-theoretical approach

Gambarelli¹,

Gambarelli

Goossens

2019

Journal of Quantitative Analysis in Sports

Self Cite

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“…The main difference between N-person and 2-person games lies in the fact that, for N ≥3, players generally have a choice of coalitions to join. In the non-cooperative case, where coalitions are not allowed, there is very little difference between N-person and 2-person non-zero-sum games, apart from the search for equilibrium N-tuples of strategies (Owen, 2004).…”

Section: N-person Gamesmentioning

confidence: 99%

“…Special solution concepts are used in cooperative game theory, such as the core, the use of power indices, e.g. the Shapley value, bargaining sets and related concepts, such as the kernel and the nucleolus (Owen, 2004).…”

Section: Cooperative Gamesmentioning

confidence: 99%

“…Game theory is an established field in economics, among other application areas, and in the last 50 years a significant amount of research work has been produced building on the game theoretic foundation. The latter has been continuously developing and getting enriched with new theorems and concepts, since the 1950s and even earlier with the original book of Von Neumann and Morgenstern (1944), that has very much influenced the game theory literature and is regarded as the start of game theory as a formal science (see Gambarelli and Owen, 2004, who make a brief historical note on game theory from its historical roots up to late 1960s).…”

Section: Assessing the Usefulness Of Game Theorymentioning

confidence: 99%

“…Myerson provides a concise review of the development of game theory starting from Nash in "J. Nash's Contribution to Economics" (Myerson, 1996). A concise overview of the game theoretic conceptual foundation can also be found in Damme (2004) and Owen (2004).…”

Section: Concise Overviews Of Game Theorymentioning

confidence: 99%

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Analysis of competition & strategic investments in the LNG market

Γκόνης¹,

Gkonis²

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Evolutionary games on graphs

2007

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Game theory is one of the key paradigms behind many scientific disciplines from biology to behavioral sciences to economics. In its evolutionary form and especially when the interacting agents are linked in a specific social network the underlying solution concepts and methods are very similar to those applied in non-equilibrium statistical physics. This review gives a tutorial-type overview of the field for physicists. The first four sections introduce the necessary background in classical and evolutionary game theory from the basic definitions to the most important results. The fifth section surveys the topological complications implied by non-mean-field-type social network structures in general. The next three sections discuss in detail the dynamic behavior of three prominent classes of models: the Prisoner's Dilemma, the Rock-Scissors-Paper game, and Competing Associations. The major theme of the review is in what sense and how the graph structure of interactions can modify and enrich the picture of long term behavioral patterns emerging in evolutionary games.

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The Coming of Game Theory

Abstract: This is a brief historical note on game theory. We cover its historical roots (prior to its formal definition in 1944), and look at its development until the late 1960’s. Copyright Kluwer Academic Publishers 2004Game theory, History,

Cited by 9 publications

References 33 publications

Offensive or defensive play in soccer: a game-theoretical approach

Offensive or defensive play in soccer: a game-theoretical approach

Analysis of competition & strategic investments in the LNG market

Evolutionary games on graphs

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