mathematics

Michael Maschler

Michael Maschler is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Michael Maschler rather than just read about it. In short: Michael Bahir Maschler (Hebrew: מיכאל בהיר משלר; July 22, 1927 – July 20, 2008) was an Israeli mathematician well known for his contributions to the field of game theory. He was a professor in the Einstein Institute of Mathematics and the Center for the Study of Rationality at the Hebrew University of Jerusalem.

Key takeaways

Michael Maschler belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Michael Maschler to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Michael Maschler from memory before moving on to harder problems.

Reference excerpt

Michael Bahir Maschler (Hebrew: מיכאל בהיר משלר; July 22, 1927 – July 20, 2008) was an Israeli mathematician well known for his contributions to the field of game theory. He was a professor in the Einstein Institute of Mathematics and the Center for the Study of Rationality at the Hebrew University of Jerusalem. In 2012, the Israeli Chapter of the Game Theory Society founded the Maschler Prize, an annual prize awarded to an outstanding research student in game theory and related topics in Israel.

Biography Michael B. Maschler was born in Jerusalem on July 22, 1927.

Selected publications For a complete list of English and Hebrew publications, see Michael Maschler: In Memoriam, above.

"The Bargaining Set for Cooperative Games", with R.J. Aumann, 1964, in Advances in Game Theory "The Core of a Cooperative Game", with M. Davis, 1965, Naval Research Logistics Quarterly "Game-Theoretic Aspects of Gradual Disarmament", with R.J. Aumann, 1966, Mathematica "Some Thoughts on the Minimax Principle" with R.J. Aumann, 1972, Management Science "An Advantage of the Bargaining Set over the Core", 1976, JET "Geometric Properties of the Kernel, Nucleolus and Related Solution Concepts", with B. Peleg and L.S. Shapley, 1979, Mathematics of Operations Research "Superadditive Solution for the Nash bargaining Game", with M. Perles, 1981, IJGT "Game Theoretic Analysis of a Bankruptcy Problem from the Talmud", with R.J. Aumann, 1985, JET "The Consistent Shapley Value for Hyperplane Games", with G. Owen, 1989, IJGT "The Consistent Shapley Value for Games without Side Payments", with G. Owen, 1992, in Selten, editor, Rational Interaction "The Bargaining Set, Kernel and Nucleolus", 1992, in Aumann and Hart, editors, Handbook of Game Theory Repeated Games with Incomplete Information, MIT Press, Cambridge, 1995, with R.J. Aumann Insights into Game Theory: An Alternative Mathematical Experience, Cambridge University Press, forthcoming, with Ein-Ya Gura.

References

Sources Aumann, Robert J.; Gura, Ein-Ya; Hart, Sergiu (2008). "Michael Maschler: In Memoriam" (PDF). Hebrew University of Jerusalem. Archived from the original (PDF) on 16 July 2011.

Illustrations

Worked examples

Example 1 — a first encounter with Michael Maschler

Start with the simplest possible case. Write down what Michael Maschler claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Michael Maschler before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Michael Maschler ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Michael Maschler

In research: Michael Maschler appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Michael Maschler in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Michael Maschler is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1927 births, 2008 deaths, 20th-century Israeli mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Michael Maschler outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Michael Maschler in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Michael Maschler means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Michael Maschler out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Michael Maschler in simple terms?

Why does Michael Maschler matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Michael Maschler?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Michael Maschler.